TY  - CONF
AU  - Bugarski, Kolja
AU  - Vildoso, P.
AU  - Stojanović, Mirjana G.
AU  - Maluckov, Aleksandra
AU  - Mashanovich, G. Z.
AU  - Vicencio, R. A.
AU  - Petrović, J.
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11813
AB  - Conventional designs of multiport splitters rely on concatenation of directional couplers or multimode interference [1,2]. However, the splitters show a considerable insertion loss and fast bandwidth drop with the number of ports. Inverse nanodesigns enable broad-bandwidth semiconductor splitters, however, at high fabrication and design costs [3,4]. In this work, we present fast and low-cost inverse designs of multiport splitters with near-zero insertion loss and respectable bandwidth. Designs are based on adjustments of the separations or lengths of waveguides composing a linearly coupled waveguide array. By tailoring the separations to achieve self-imaging of the input light pattern, a series of 1×N splitters can be achieved prior to the revival [5,6]. To demonstrate the technique, the power splitters were fabricated in a borosilicate wafer by femtosecond laser writing method [7]. The splitters show zero insertion loss within the experimental error, bandwidth of 20−60 nm around a wavelength of 640 nm and low imbalance < 0.5 dB [8]. Their footprint scales exponentially with the waveguide separation, which can be reduced to the limit of mode confinement. The footprint reduction is particularly pronounced in waveguides with high refractive index contrast, such as those in SOI, where we design the splitters with the footprint as small as 6 μm2. The proposed splitters offer new possibilities for path-entanglement generation, multipath interferometry on chip and spatial mode multiplexing.
PB  - Belgrade : Vinča Institute of Nuclear Sciences
C3  - PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade
T1  - Multiport splitters based on waveguide arrays
SP  - 101
EP  - 101
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11813
ER  - 

@conference{
author = "Bugarski, Kolja and Vildoso, P. and Stojanović, Mirjana G. and Maluckov, Aleksandra and Mashanovich, G. Z. and Vicencio, R. A. and Petrović, J.",
year = "2023",
abstract = "Conventional designs of multiport splitters rely on concatenation of directional couplers or multimode interference [1,2]. However, the splitters show a considerable insertion loss and fast bandwidth drop with the number of ports. Inverse nanodesigns enable broad-bandwidth semiconductor splitters, however, at high fabrication and design costs [3,4]. In this work, we present fast and low-cost inverse designs of multiport splitters with near-zero insertion loss and respectable bandwidth. Designs are based on adjustments of the separations or lengths of waveguides composing a linearly coupled waveguide array. By tailoring the separations to achieve self-imaging of the input light pattern, a series of 1×N splitters can be achieved prior to the revival [5,6]. To demonstrate the technique, the power splitters were fabricated in a borosilicate wafer by femtosecond laser writing method [7]. The splitters show zero insertion loss within the experimental error, bandwidth of 20−60 nm around a wavelength of 640 nm and low imbalance < 0.5 dB [8]. Their footprint scales exponentially with the waveguide separation, which can be reduced to the limit of mode confinement. The footprint reduction is particularly pronounced in waveguides with high refractive index contrast, such as those in SOI, where we design the splitters with the footprint as small as 6 μm2. The proposed splitters offer new possibilities for path-entanglement generation, multipath interferometry on chip and spatial mode multiplexing.",
publisher = "Belgrade : Vinča Institute of Nuclear Sciences",
journal = "PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade",
title = "Multiport splitters based on waveguide arrays",
pages = "101-101",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11813"
}

Bugarski, K., Vildoso, P., Stojanović, M. G., Maluckov, A., Mashanovich, G. Z., Vicencio, R. A.,& Petrović, J.. (2023). Multiport splitters based on waveguide arrays. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade
Belgrade : Vinča Institute of Nuclear Sciences., 101-101.
https://hdl.handle.net/21.15107/rcub_vinar_11813

Bugarski K, Vildoso P, Stojanović MG, Maluckov A, Mashanovich GZ, Vicencio RA, Petrović J. Multiport splitters based on waveguide arrays. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade. 2023;:101-101.
https://hdl.handle.net/21.15107/rcub_vinar_11813 .

Bugarski, Kolja, Vildoso, P., Stojanović, Mirjana G., Maluckov, Aleksandra, Mashanovich, G. Z., Vicencio, R. A., Petrović, J., "Multiport splitters based on waveguide arrays" in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade (2023):101-101,
https://hdl.handle.net/21.15107/rcub_vinar_11813 .

TY  - CONF
AU  - Kršić, Jelena
AU  - Stojanović, Mirjana G.
AU  - Bugarski, Kolja
AU  - Stojanović, N.
AU  - Maluckov, Aleksandra
AU  - Veerman, P.
AU  - Petrović, J.
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11814
AB  - Rapidly increasing demand for higher data bandwidths has motivated exploration of new communication channels based on spatially multiplexed in-fibre and on-chip coupled light guides [1]. However, the conventionally used periodically arranged coupled waveguides display complicated light propagation patterns, ranging from quasiperiodic to nearly chaotic. Taking a different approach, we spectrally engineer interwaveguide coupling to instigate self-imaging of the input light state at the array output and thus enable construction of novel high-fidelity interconnects [2]. Simple implementation via modulation of the interwaveguide separations makes these interconnects realizable in all fabrication platforms. Moreover, the wavelength dependent self-imaging opens up possibilities for construction of new multiplexing devices [3]. Here, we present designs of band-pass filters and dichroic splitters for VIS and NIR and propose the strategies for selection of their central wavelengths and bandwidths.
PB  - Belgrade : Vinča Institute of Nuclear Sciences
C3  - PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade
T1  - Optical interconnects and filters based on waveguide arrays
SP  - 102
EP  - 102
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11814
ER  - 

@conference{
author = "Kršić, Jelena and Stojanović, Mirjana G. and Bugarski, Kolja and Stojanović, N. and Maluckov, Aleksandra and Veerman, P. and Petrović, J.",
year = "2023",
abstract = "Rapidly increasing demand for higher data bandwidths has motivated exploration of new communication channels based on spatially multiplexed in-fibre and on-chip coupled light guides [1]. However, the conventionally used periodically arranged coupled waveguides display complicated light propagation patterns, ranging from quasiperiodic to nearly chaotic. Taking a different approach, we spectrally engineer interwaveguide coupling to instigate self-imaging of the input light state at the array output and thus enable construction of novel high-fidelity interconnects [2]. Simple implementation via modulation of the interwaveguide separations makes these interconnects realizable in all fabrication platforms. Moreover, the wavelength dependent self-imaging opens up possibilities for construction of new multiplexing devices [3]. Here, we present designs of band-pass filters and dichroic splitters for VIS and NIR and propose the strategies for selection of their central wavelengths and bandwidths.",
publisher = "Belgrade : Vinča Institute of Nuclear Sciences",
journal = "PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade",
title = "Optical interconnects and filters based on waveguide arrays",
pages = "102-102",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11814"
}

Kršić, J., Stojanović, M. G., Bugarski, K., Stojanović, N., Maluckov, A., Veerman, P.,& Petrović, J.. (2023). Optical interconnects and filters based on waveguide arrays. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade
Belgrade : Vinča Institute of Nuclear Sciences., 102-102.
https://hdl.handle.net/21.15107/rcub_vinar_11814

Kršić J, Stojanović MG, Bugarski K, Stojanović N, Maluckov A, Veerman P, Petrović J. Optical interconnects and filters based on waveguide arrays. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade. 2023;:102-102.
https://hdl.handle.net/21.15107/rcub_vinar_11814 .

Kršić, Jelena, Stojanović, Mirjana G., Bugarski, Kolja, Stojanović, N., Maluckov, Aleksandra, Veerman, P., Petrović, J., "Optical interconnects and filters based on waveguide arrays" in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade (2023):102-102,
https://hdl.handle.net/21.15107/rcub_vinar_11814 .

TY  - CONF
AU  - Stojanović, Mirjana G.
AU  - Maluckov, Aleksandra
AU  - Stepić, Milutin
AU  - Mančić, Ana
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11852
AB  - Flat-band (FB) photonic lattices have been in the focus of researchers since they represent an excellent
platform for studying various fundamental physical phenomena difficult to achieve in the condensed
matter systems. Working with photonic lattices is very comfortable because they are easy to manipulate with
and it is possible to directly observe the wave dynamics. An important property of FBs lattice is that they can
host a complete set of compact localized modes (CLMs), highly robust to environmental noise. Due to lattice
their geometry, it is possible to design artificial gauge field effects which are equivalent to the magnetic field
flux, i. e. the spin-orbit interaction in atomic systems.
We have studied a two-dimensional (2D) linear and nonlinearphotonic lattices dressed by the artificial flux and
have explored the influence of the artificial gauge field on the energy band spectrum. We investigated CLM
in three types of 2D photonic lattices: octagonal-diamond, dice and plus-like lattice. Each of these lattices is
characterized by the presence of diamond plaquettes in the structure. When diamond plaquettes are dressed by
artificial flux, the Aharonov-Bohm effect has caused the appearance of new FBs for certain values of the flux.
The dynamics of the CLMs in the mentioned flux-dressed lattices have been analyzed numerically, using
the Runge-Kutta procedure of the 6th order. To describe the dynamic properties of CLMs, in the presence
of nonlinearity and artificial flux, we calculated some of the following quantities: the participation number,
which is a measure of the mode localization; the mode overlapping, which represents normalized magnitude
of the field overlap; and total intensity distribution. The evolution of these quantities show the efficiency of the
mode compactness andlocalization.
C3  - WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts
T1  - Playing with the artificial flux in diamond plaquettes in different photonic lattices
SP  - 65
EP  - 65
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11852
ER  - 

@conference{
author = "Stojanović, Mirjana G. and Maluckov, Aleksandra and Stepić, Milutin and Mančić, Ana",
year = "2023",
abstract = "Flat-band (FB) photonic lattices have been in the focus of researchers since they represent an excellent
platform for studying various fundamental physical phenomena difficult to achieve in the condensed
matter systems. Working with photonic lattices is very comfortable because they are easy to manipulate with
and it is possible to directly observe the wave dynamics. An important property of FBs lattice is that they can
host a complete set of compact localized modes (CLMs), highly robust to environmental noise. Due to lattice
their geometry, it is possible to design artificial gauge field effects which are equivalent to the magnetic field
flux, i. e. the spin-orbit interaction in atomic systems.
We have studied a two-dimensional (2D) linear and nonlinearphotonic lattices dressed by the artificial flux and
have explored the influence of the artificial gauge field on the energy band spectrum. We investigated CLM
in three types of 2D photonic lattices: octagonal-diamond, dice and plus-like lattice. Each of these lattices is
characterized by the presence of diamond plaquettes in the structure. When diamond plaquettes are dressed by
artificial flux, the Aharonov-Bohm effect has caused the appearance of new FBs for certain values of the flux.
The dynamics of the CLMs in the mentioned flux-dressed lattices have been analyzed numerically, using
the Runge-Kutta procedure of the 6th order. To describe the dynamic properties of CLMs, in the presence
of nonlinearity and artificial flux, we calculated some of the following quantities: the participation number,
which is a measure of the mode localization; the mode overlapping, which represents normalized magnitude
of the field overlap; and total intensity distribution. The evolution of these quantities show the efficiency of the
mode compactness andlocalization.",
journal = "WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts",
title = "Playing with the artificial flux in diamond plaquettes in different photonic lattices",
pages = "65-65",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11852"
}

Stojanović, M. G., Maluckov, A., Stepić, M.,& Mančić, A.. (2023). Playing with the artificial flux in diamond plaquettes in different photonic lattices. in WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts, 65-65.
https://hdl.handle.net/21.15107/rcub_vinar_11852

Stojanović MG, Maluckov A, Stepić M, Mančić A. Playing with the artificial flux in diamond plaquettes in different photonic lattices. in WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts. 2023;:65-65.
https://hdl.handle.net/21.15107/rcub_vinar_11852 .

Stojanović, Mirjana G., Maluckov, Aleksandra, Stepić, Milutin, Mančić, Ana, "Playing with the artificial flux in diamond plaquettes in different photonic lattices" in WCLOP2023 : 5th World Congress on Lasers, Optics and Photonics : Book of abstracts (2023):65-65,
https://hdl.handle.net/21.15107/rcub_vinar_11852 .

TY  - CONF
AU  - Stojanović, Mirjana G.
AU  - Mančić, Ana
AU  - Stepić, Milutin
AU  - Maluckov, Aleksandra
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11855
AB  - Flatband (FB) photonic lattices represent ideal testbed for studying transport and localization
properties at the linear level in diverse physical systems [1]. Photonic lattices are easy for manipulation
and investigation of wave dynamics. The photonic lattices offer an ability to design artificial gauge field
effects which are equivalent to the magnetic field flux and the spin-orbit interaction in atomic systems
[2].
The two-dimensional (2D) plus
lattice [3] dressed by the artificial flux can be
experimentally realized by techniques based
on the coupled-spring resonators [4] and
wave-guide networks [5]. Here we tuned the
artificial flux values and studied their effect
on the energy band spectrum and we were
trying to find compact localized modes
(CLMs).
The geometry of the uniform plus
lattice dressed by the artificial flux is Figure
2. Schematic of 2D plus-like lattice with artificial
flux. The unit cell is encircled by a dotted
line.schematically presented in Fig. 1. The
unit cell consists of five sites, linearly coupled with each other with the same intra-cell coupling constant.
The flux of the artificial field modifies the coupling between different unit cell sites to t∙exp(±iϕ/4),
where t is the hopping parameter and ϕ is the artificial flux. In the absence of flux, in the uniform lattice,
the energy spectrum has one fully degenerate FB, centered at zero, and four dispersive bands (DBs) [3].
We have found that this lattice can host the Aharonov-Bohm effect for certain flux values [6]. When
diamond plaquettes are dressed by artificial flux ϕ=π, this lattice spectrum is described by two
momentum independent, fully degenerated FBs, and three DBs. Corresponding CLMs have been
obtained. In the comparison with the flux-free case, we found three different types of fundamental nonorthogonal CLMs now. These CLMs occupy 5 unit cells i.e. are class U=5. The central site amplitude is
zero and all other 4 sites of unit cell have nonzero amplitudes.
PB  - Belgrade : Institute of Physics
C3  - 16th Photonics Workshop : Book of abstracts
T1  - Localized modes in linear flux dressed two-dimensional plus lattice
SP  - 36
EP  - 36
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11855
ER  - 

@conference{
author = "Stojanović, Mirjana G. and Mančić, Ana and Stepić, Milutin and Maluckov, Aleksandra",
year = "2023",
abstract = "Flatband (FB) photonic lattices represent ideal testbed for studying transport and localization
properties at the linear level in diverse physical systems [1]. Photonic lattices are easy for manipulation
and investigation of wave dynamics. The photonic lattices offer an ability to design artificial gauge field
effects which are equivalent to the magnetic field flux and the spin-orbit interaction in atomic systems
[2].
The two-dimensional (2D) plus
lattice [3] dressed by the artificial flux can be
experimentally realized by techniques based
on the coupled-spring resonators [4] and
wave-guide networks [5]. Here we tuned the
artificial flux values and studied their effect
on the energy band spectrum and we were
trying to find compact localized modes
(CLMs).
The geometry of the uniform plus
lattice dressed by the artificial flux is Figure
2. Schematic of 2D plus-like lattice with artificial
flux. The unit cell is encircled by a dotted
line.schematically presented in Fig. 1. The
unit cell consists of five sites, linearly coupled with each other with the same intra-cell coupling constant.
The flux of the artificial field modifies the coupling between different unit cell sites to t∙exp(±iϕ/4),
where t is the hopping parameter and ϕ is the artificial flux. In the absence of flux, in the uniform lattice,
the energy spectrum has one fully degenerate FB, centered at zero, and four dispersive bands (DBs) [3].
We have found that this lattice can host the Aharonov-Bohm effect for certain flux values [6]. When
diamond plaquettes are dressed by artificial flux ϕ=π, this lattice spectrum is described by two
momentum independent, fully degenerated FBs, and three DBs. Corresponding CLMs have been
obtained. In the comparison with the flux-free case, we found three different types of fundamental nonorthogonal CLMs now. These CLMs occupy 5 unit cells i.e. are class U=5. The central site amplitude is
zero and all other 4 sites of unit cell have nonzero amplitudes.",
publisher = "Belgrade : Institute of Physics",
journal = "16th Photonics Workshop : Book of abstracts",
title = "Localized modes in linear flux dressed two-dimensional plus lattice",
pages = "36-36",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11855"
}

Stojanović, M. G., Mančić, A., Stepić, M.,& Maluckov, A.. (2023). Localized modes in linear flux dressed two-dimensional plus lattice. in 16th Photonics Workshop : Book of abstracts
Belgrade : Institute of Physics., 36-36.
https://hdl.handle.net/21.15107/rcub_vinar_11855

Stojanović MG, Mančić A, Stepić M, Maluckov A. Localized modes in linear flux dressed two-dimensional plus lattice. in 16th Photonics Workshop : Book of abstracts. 2023;:36-36.
https://hdl.handle.net/21.15107/rcub_vinar_11855 .

Stojanović, Mirjana G., Mančić, Ana, Stepić, Milutin, Maluckov, Aleksandra, "Localized modes in linear flux dressed two-dimensional plus lattice" in 16th Photonics Workshop : Book of abstracts (2023):36-36,
https://hdl.handle.net/21.15107/rcub_vinar_11855 .

TY  - JOUR
AU  - Stojanović, Mirjana G.
AU  - Gundogdu, Sinan
AU  - Leykam, Daniel
AU  - Angelakis, Dimitris G.
AU  - Stojanović Krasić, Marija
AU  - Stepić, Milutin
AU  - Maluckov, Aleksandra
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10197
AB  - Tuning the values of artificial flux in the two-dimensional octagonal-diamond lattice drives topological phase transitions, including between singular and non-singular flatbands. We study the dynamical properties of nonlinear compact localized modes that can be continued from linear flatband modes. We show how the stability of the compact localized modes can be tuned by the nonlinearity strength or the applied artificial flux. Our model can be realized using ring resonator lattices or nonlinear waveguide arrays.
T2  - Physica Scripta
T1  - Nonlinear compact localized modes in flux-dressed octagonal-diamond lattice
VL  - 97
IS  - 3
SP  - 030006
DO  - 10.1088/1402-4896/ac5357
ER  - 

@article{
author = "Stojanović, Mirjana G. and Gundogdu, Sinan and Leykam, Daniel and Angelakis, Dimitris G. and Stojanović Krasić, Marija and Stepić, Milutin and Maluckov, Aleksandra",
year = "2022",
abstract = "Tuning the values of artificial flux in the two-dimensional octagonal-diamond lattice drives topological phase transitions, including between singular and non-singular flatbands. We study the dynamical properties of nonlinear compact localized modes that can be continued from linear flatband modes. We show how the stability of the compact localized modes can be tuned by the nonlinearity strength or the applied artificial flux. Our model can be realized using ring resonator lattices or nonlinear waveguide arrays.",
journal = "Physica Scripta",
title = "Nonlinear compact localized modes in flux-dressed octagonal-diamond lattice",
volume = "97",
number = "3",
pages = "030006",
doi = "10.1088/1402-4896/ac5357"
}

Stojanović, M. G., Gundogdu, S., Leykam, D., Angelakis, D. G., Stojanović Krasić, M., Stepić, M.,& Maluckov, A.. (2022). Nonlinear compact localized modes in flux-dressed octagonal-diamond lattice. in Physica Scripta, 97(3), 030006.
https://doi.org/10.1088/1402-4896/ac5357

Stojanović MG, Gundogdu S, Leykam D, Angelakis DG, Stojanović Krasić M, Stepić M, Maluckov A. Nonlinear compact localized modes in flux-dressed octagonal-diamond lattice. in Physica Scripta. 2022;97(3):030006.
doi:10.1088/1402-4896/ac5357 .

Stojanović, Mirjana G., Gundogdu, Sinan, Leykam, Daniel, Angelakis, Dimitris G., Stojanović Krasić, Marija, Stepić, Milutin, Maluckov, Aleksandra, "Nonlinear compact localized modes in flux-dressed octagonal-diamond lattice" in Physica Scripta, 97, no. 3 (2022):030006,
https://doi.org/10.1088/1402-4896/ac5357 . .

TY  - JOUR
AU  - Stojanović, Mirjana G.
AU  - Mančić, Ana
AU  - Stepić, Milutin
AU  - Maluckov, Aleksandra
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11839
AB  - Two-dimensional dice lattice can be dressed by artificial flux to host the Aharonov-Bohm (AB) caging effect resulting in the occurrence of a fully flatband spectrum. Here, we focus on the dynamics of flatband compact localized eigenmodes shared by a few unit cells in two snowflake configurations. We numerically show the possibility of dynamically stable propagation of two types of compact localized complexes by tuning the nonlinearity. The caging is imprinted in complexes dynamics regardless of the type and strength of nonlinearity. On the other hand, nonlinearity can only affect the appearance of the caged complex. These findings open a new route for the manipulation of structured light in photonic systems.
AB  - Uslovi za generisanje Aharonov-Bohm (AB) efekta mogu se postići u dvodimenzionalnoj rombičnoj rešetki s veštački indukovanim fluksom, što dovodi do formiranja energetskog spektra s potpuno ravnim zonama. U radu, akcenat je stavljen na proučavanje dinamike kompaktnih lokalizovanih svojstvenih moda ravnih zona, koje su izolovane na svega nekoliko jediničnih ćelija rešetke u dve pahuljičaste konfiguracije. Numerički je pokazana mogućnost stabilnog prostiranja dva tipa kompaktnih lokalizovanih kompleksa uz pogodno podešavanje nelinearnih svojstava rešetke. AB zarobljavanje igra dominantnu ulogu kada je reč o dinamici kompleksa, bez obzira na vrstu i jačinu nelinearnosti, koja, sa svoje strane, može uticati na oblik zarobljene strukture. Naša otkrića pružaju nove mogućnosti za unapređivanje načina za manipulisanje svetlošću u fotonskim sistemima.
T2  - Facta universitatis series: Physics, Chemistry and Technology
T1  - Shaping the dynamics of Aharonov-Bohm caged localized modes by nonlinearity
T1  - Oblikovanje dinamike Aharonov-Bohm zarobljenih lokalizovanih moda posredstvom nelinearnosti
VL  - 20
IS  - 1
SP  - 55
EP  - 65
DO  - 10.2298/FUPCT2201055S
ER  - 

@article{
author = "Stojanović, Mirjana G. and Mančić, Ana and Stepić, Milutin and Maluckov, Aleksandra",
year = "2022",
abstract = "Two-dimensional dice lattice can be dressed by artificial flux to host the Aharonov-Bohm (AB) caging effect resulting in the occurrence of a fully flatband spectrum. Here, we focus on the dynamics of flatband compact localized eigenmodes shared by a few unit cells in two snowflake configurations. We numerically show the possibility of dynamically stable propagation of two types of compact localized complexes by tuning the nonlinearity. The caging is imprinted in complexes dynamics regardless of the type and strength of nonlinearity. On the other hand, nonlinearity can only affect the appearance of the caged complex. These findings open a new route for the manipulation of structured light in photonic systems., Uslovi za generisanje Aharonov-Bohm (AB) efekta mogu se postići u dvodimenzionalnoj rombičnoj rešetki s veštački indukovanim fluksom, što dovodi do formiranja energetskog spektra s potpuno ravnim zonama. U radu, akcenat je stavljen na proučavanje dinamike kompaktnih lokalizovanih svojstvenih moda ravnih zona, koje su izolovane na svega nekoliko jediničnih ćelija rešetke u dve pahuljičaste konfiguracije. Numerički je pokazana mogućnost stabilnog prostiranja dva tipa kompaktnih lokalizovanih kompleksa uz pogodno podešavanje nelinearnih svojstava rešetke. AB zarobljavanje igra dominantnu ulogu kada je reč o dinamici kompleksa, bez obzira na vrstu i jačinu nelinearnosti, koja, sa svoje strane, može uticati na oblik zarobljene strukture. Naša otkrića pružaju nove mogućnosti za unapređivanje načina za manipulisanje svetlošću u fotonskim sistemima.",
journal = "Facta universitatis series: Physics, Chemistry and Technology",
title = "Shaping the dynamics of Aharonov-Bohm caged localized modes by nonlinearity, Oblikovanje dinamike Aharonov-Bohm zarobljenih lokalizovanih moda posredstvom nelinearnosti",
volume = "20",
number = "1",
pages = "55-65",
doi = "10.2298/FUPCT2201055S"
}

Stojanović, M. G., Mančić, A., Stepić, M.,& Maluckov, A.. (2022). Shaping the dynamics of Aharonov-Bohm caged localized modes by nonlinearity. in Facta universitatis series: Physics, Chemistry and Technology, 20(1), 55-65.
https://doi.org/10.2298/FUPCT2201055S

Stojanović MG, Mančić A, Stepić M, Maluckov A. Shaping the dynamics of Aharonov-Bohm caged localized modes by nonlinearity. in Facta universitatis series: Physics, Chemistry and Technology. 2022;20(1):55-65.
doi:10.2298/FUPCT2201055S .

Stojanović, Mirjana G., Mančić, Ana, Stepić, Milutin, Maluckov, Aleksandra, "Shaping the dynamics of Aharonov-Bohm caged localized modes by nonlinearity" in Facta universitatis series: Physics, Chemistry and Technology, 20, no. 1 (2022):55-65,
https://doi.org/10.2298/FUPCT2201055S . .

TY  - CONF
AU  - Stepić, Milutin
AU  - Maluckov, Aleksandra
AU  - Mančić, Ana
AU  - Stojanović, Mirjana G.
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11851
AB  - Flatband (FB) photonic systems have been in the spotlight of researchers since they
represent an advantageous testbed for studying transport and localization properties at the linear level [1]. Among variety of platforms where flatbands have been
realized photonic lattices have been established as the ideal ones, since working
with them is very comfortable - they are easy to manipulate with and it is possible
to directly observe the wave dynamics. Due to their geometry, it is possible to design artificial gauge field effects which are equivalent to the magnetic field flux, i.
e. the spin-orbit interaction in atomic systems [2].
Here, we study a two-dimensional (2D) pluslike lattice [3], dressed by the artificial
flux, which could be realized by experimental techniques based on the coupledspring resonators [4] and wave-guide networks [5]. We investigate the influence of
the artificial flux on the energy band spectrum and the idea is to find the compact
localized modes (CLM).
The unit cell of the plus lattice consists of five sites, with real intra-cell hopping
represented by the coupling coefficient. The flux of the artificial field modifies the
coupling between different unit cell sites to t∙exp(±iϕ/4), where tis the hopping parameter and ϕ is the artificial flux. In the absence of flux, in the uniform lattice,
the energy spectrum has one fully degenerate FB, centered at zero, between two
dispersive bands (DBs), each of which is being accompanied with the other mirror
symmetric DB [3]. We have found that 2D plus lattice can be dressed by artificial
flux to host the Aharonov-Bohm (AB) effect. This effect causes the appearance of
flat zones in the energy spectrum of the lattice. Hence, when diamond plaquettes are dressed by artificial flux ϕ=π, this lattice spectrum is described by two momentum independent, fully degenerated FBs, and three DBs.
The dynamics of CLMs in 2D flux-dressed plus lattice can be analyzed numerically,
adopting the Runge-Kutta procedure of the 6th order. In order to scan the dynamical properties of the CLMs we will calculate some of the following quantities: the
participation number, which is a measure of the mode localization; the mode overlapping, which represents normalized magnitude of the field overlap; and total intensity distribution. The evolution of these quantities will show the efficiency of
the mode compactness-localization.
C3  - BPU11 : 11th International Conference of the Balkan Physical Union
T1  - Existence and dynamics of eigenmodes in linear flux dressed two-dimensional plus lattice
VL  - 427
SP  - 149
EP  - 150
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11851
ER  - 

@conference{
author = "Stepić, Milutin and Maluckov, Aleksandra and Mančić, Ana and Stojanović, Mirjana G.",
year = "2022",
abstract = "Flatband (FB) photonic systems have been in the spotlight of researchers since they
represent an advantageous testbed for studying transport and localization properties at the linear level [1]. Among variety of platforms where flatbands have been
realized photonic lattices have been established as the ideal ones, since working
with them is very comfortable - they are easy to manipulate with and it is possible
to directly observe the wave dynamics. Due to their geometry, it is possible to design artificial gauge field effects which are equivalent to the magnetic field flux, i.
e. the spin-orbit interaction in atomic systems [2].
Here, we study a two-dimensional (2D) pluslike lattice [3], dressed by the artificial
flux, which could be realized by experimental techniques based on the coupledspring resonators [4] and wave-guide networks [5]. We investigate the influence of
the artificial flux on the energy band spectrum and the idea is to find the compact
localized modes (CLM).
The unit cell of the plus lattice consists of five sites, with real intra-cell hopping
represented by the coupling coefficient. The flux of the artificial field modifies the
coupling between different unit cell sites to t∙exp(±iϕ/4), where tis the hopping parameter and ϕ is the artificial flux. In the absence of flux, in the uniform lattice,
the energy spectrum has one fully degenerate FB, centered at zero, between two
dispersive bands (DBs), each of which is being accompanied with the other mirror
symmetric DB [3]. We have found that 2D plus lattice can be dressed by artificial
flux to host the Aharonov-Bohm (AB) effect. This effect causes the appearance of
flat zones in the energy spectrum of the lattice. Hence, when diamond plaquettes are dressed by artificial flux ϕ=π, this lattice spectrum is described by two momentum independent, fully degenerated FBs, and three DBs.
The dynamics of CLMs in 2D flux-dressed plus lattice can be analyzed numerically,
adopting the Runge-Kutta procedure of the 6th order. In order to scan the dynamical properties of the CLMs we will calculate some of the following quantities: the
participation number, which is a measure of the mode localization; the mode overlapping, which represents normalized magnitude of the field overlap; and total intensity distribution. The evolution of these quantities will show the efficiency of
the mode compactness-localization.",
journal = "BPU11 : 11th International Conference of the Balkan Physical Union",
title = "Existence and dynamics of eigenmodes in linear flux dressed two-dimensional plus lattice",
volume = "427",
pages = "149-150",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11851"
}

Stepić, M., Maluckov, A., Mančić, A.,& Stojanović, M. G.. (2022). Existence and dynamics of eigenmodes in linear flux dressed two-dimensional plus lattice. in BPU11 : 11th International Conference of the Balkan Physical Union, 427, 149-150.
https://hdl.handle.net/21.15107/rcub_vinar_11851

Stepić M, Maluckov A, Mančić A, Stojanović MG. Existence and dynamics of eigenmodes in linear flux dressed two-dimensional plus lattice. in BPU11 : 11th International Conference of the Balkan Physical Union. 2022;427:149-150.
https://hdl.handle.net/21.15107/rcub_vinar_11851 .

Stepić, Milutin, Maluckov, Aleksandra, Mančić, Ana, Stojanović, Mirjana G., "Existence and dynamics of eigenmodes in linear flux dressed two-dimensional plus lattice" in BPU11 : 11th International Conference of the Balkan Physical Union, 427 (2022):149-150,
https://hdl.handle.net/21.15107/rcub_vinar_11851 .

TY  - CONF
AU  - Stojanović, Mirjana G.
AU  - Mančić, Ana
AU  - Stepić, Milutin
AU  - Maluckov, Aleksandra
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11854
C3  - 15th Photonics Workshop : Book of abstracts
T1  - Dynamics of nonlinear Aharonov-Bohm caged compact localized modes in Dice lattice
SP  - 28
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11854
ER  - 

@conference{
author = "Stojanović, Mirjana G. and Mančić, Ana and Stepić, Milutin and Maluckov, Aleksandra",
year = "2022",
journal = "15th Photonics Workshop : Book of abstracts",
title = "Dynamics of nonlinear Aharonov-Bohm caged compact localized modes in Dice lattice",
pages = "28",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11854"
}

Stojanović, M. G., Mančić, A., Stepić, M.,& Maluckov, A.. (2022). Dynamics of nonlinear Aharonov-Bohm caged compact localized modes in Dice lattice. in 15th Photonics Workshop : Book of abstracts, 28.
https://hdl.handle.net/21.15107/rcub_vinar_11854

Stojanović MG, Mančić A, Stepić M, Maluckov A. Dynamics of nonlinear Aharonov-Bohm caged compact localized modes in Dice lattice. in 15th Photonics Workshop : Book of abstracts. 2022;:28.
https://hdl.handle.net/21.15107/rcub_vinar_11854 .

Stojanović, Mirjana G., Mančić, Ana, Stepić, Milutin, Maluckov, Aleksandra, "Dynamics of nonlinear Aharonov-Bohm caged compact localized modes in Dice lattice" in 15th Photonics Workshop : Book of abstracts (2022):28,
https://hdl.handle.net/21.15107/rcub_vinar_11854 .

TY  - JOUR
AU  - Mančić, Ana
AU  - Stojanović, Mirjana G.
AU  - Stepić, Milutin
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10965
AB  - It was studied a photonic linear two-dimensional plus lattice dressed by the artificial flux and explored the influence of the artificial gauge field on the energy band spectrum. The Aharonov-Bohm effect has caused the appearance of flat zones and for certain values of the flux, the lattice spectrum has been described by two momentum independent, fully degenerated flatbands and three dispersive bands. Three different types of fundamental non-orthogonal compactons have been obtained. The findings presented in this study could be tested in practice and they may be used for probing different artificial flatband systems, e. g. ultracold atoms in optical lattices, polariton condensates etc.
AB  - U ovom radu proučavana je fotonska linearna dvodimenziona plus rešetka tretirana fluksom kalibracionog polja kao i uticaj veštačkog kalibracionog polja, na energetski spektar. Usled Aharonov-Bomovog efekta dolazi do pojave ravnih zona i za određene vrednosti fluksa energetski spektar rešetke može se opisati sa dve potpuno degenerisane ravne zone i tri disperzivne zone. Pronađena su tri različita tipa fundamentalnih ne-ortogonalnih kompaktona. Predstavljeni rezultati mogu se proveriti u praksi i imaju potencijal za primenu u različitim okruženjima, kao što su mreže superprovodnih žica, topološke rešetke itd.
T2  - Advanced Technologies
T1  - Linear compact localized modes in flux-dressed two-dimensional plus lattice
T1  - Linearne kompaktne lokalizovane mode u dvodimenzionalnoj, fluksom tretiranoj, plus rešetki
VL  - 11
IS  - 2
SP  - 36
EP  - 39
DO  - 10.5937/savteh2202036M
ER  - 

@article{
author = "Mančić, Ana and Stojanović, Mirjana G. and Stepić, Milutin",
year = "2022",
abstract = "It was studied a photonic linear two-dimensional plus lattice dressed by the artificial flux and explored the influence of the artificial gauge field on the energy band spectrum. The Aharonov-Bohm effect has caused the appearance of flat zones and for certain values of the flux, the lattice spectrum has been described by two momentum independent, fully degenerated flatbands and three dispersive bands. Three different types of fundamental non-orthogonal compactons have been obtained. The findings presented in this study could be tested in practice and they may be used for probing different artificial flatband systems, e. g. ultracold atoms in optical lattices, polariton condensates etc., U ovom radu proučavana je fotonska linearna dvodimenziona plus rešetka tretirana fluksom kalibracionog polja kao i uticaj veštačkog kalibracionog polja, na energetski spektar. Usled Aharonov-Bomovog efekta dolazi do pojave ravnih zona i za određene vrednosti fluksa energetski spektar rešetke može se opisati sa dve potpuno degenerisane ravne zone i tri disperzivne zone. Pronađena su tri različita tipa fundamentalnih ne-ortogonalnih kompaktona. Predstavljeni rezultati mogu se proveriti u praksi i imaju potencijal za primenu u različitim okruženjima, kao što su mreže superprovodnih žica, topološke rešetke itd.",
journal = "Advanced Technologies",
title = "Linear compact localized modes in flux-dressed two-dimensional plus lattice, Linearne kompaktne lokalizovane mode u dvodimenzionalnoj, fluksom tretiranoj, plus rešetki",
volume = "11",
number = "2",
pages = "36-39",
doi = "10.5937/savteh2202036M"
}

Mančić, A., Stojanović, M. G.,& Stepić, M.. (2022). Linear compact localized modes in flux-dressed two-dimensional plus lattice. in Advanced Technologies, 11(2), 36-39.
https://doi.org/10.5937/savteh2202036M

Mančić A, Stojanović MG, Stepić M. Linear compact localized modes in flux-dressed two-dimensional plus lattice. in Advanced Technologies. 2022;11(2):36-39.
doi:10.5937/savteh2202036M .

Mančić, Ana, Stojanović, Mirjana G., Stepić, Milutin, "Linear compact localized modes in flux-dressed two-dimensional plus lattice" in Advanced Technologies, 11, no. 2 (2022):36-39,
https://doi.org/10.5937/savteh2202036M . .

TY  - CONF
AU  - Stojanović, Mirjana G.
AU  - Stojanović Krasić, Marija
AU  - Johansson, M.
AU  - Salinas, I.A.
AU  - Vicencio, R.A.
AU  - Stepić, Milutin
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11850
AB  - Flat-band (FB) photonic lattices are attracting substantial attention of researchers
since they provide an excellent platform for studying various fundamental physical
phenomena difficult to achieve in the condensed matter systems. In that regard,
some of those phenomena demonstrated in the last two decade are discrete solitons,
dynamical localization and Anderson localization in disordered lattices [1]. One of
the advantages of photonic lattices is that they are easy to manipulate with. Maybe
the most important property of FBs is that they can host a complete set of compact
localized states (CLS), highly robust to environmental noise.
Here, we investigate the CLS in two-dimensional (2D) dice lattice dressed by artificial flux in the presence of nonlinearity. Due to the Aharonov-Bohm (AB) caging
effect, this lattice can host a fully FB spectrum [2]. The FB eigenmodes are compact
snowflake-like structures shared by a few unit cells [3]. The goal is to find suitable
conditions for selecting the localized states with user-friendly characteristics. We
do this by testing the dynamics of those snowflake-like CLS in the linear and nonlinear regime. We have found two types of dynamics of compact structures, one,
the snowflake-like, robust in both linear and nonlinear regime, and the other one,
breathing complexes, robust only in the presence of weak nonlinearity
C3  - BPU11 : 11th International Conference of the Balkan Physical Union
T1  - Compact localized modes in Dice lattice dressed by artificial flux
VL  - 427
SP  - 146
EP  - 146
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11850
ER  - 

@conference{
author = "Stojanović, Mirjana G. and Stojanović Krasić, Marija and Johansson, M. and Salinas, I.A. and Vicencio, R.A. and Stepić, Milutin",
year = "2022",
abstract = "Flat-band (FB) photonic lattices are attracting substantial attention of researchers
since they provide an excellent platform for studying various fundamental physical
phenomena difficult to achieve in the condensed matter systems. In that regard,
some of those phenomena demonstrated in the last two decade are discrete solitons,
dynamical localization and Anderson localization in disordered lattices [1]. One of
the advantages of photonic lattices is that they are easy to manipulate with. Maybe
the most important property of FBs is that they can host a complete set of compact
localized states (CLS), highly robust to environmental noise.
Here, we investigate the CLS in two-dimensional (2D) dice lattice dressed by artificial flux in the presence of nonlinearity. Due to the Aharonov-Bohm (AB) caging
effect, this lattice can host a fully FB spectrum [2]. The FB eigenmodes are compact
snowflake-like structures shared by a few unit cells [3]. The goal is to find suitable
conditions for selecting the localized states with user-friendly characteristics. We
do this by testing the dynamics of those snowflake-like CLS in the linear and nonlinear regime. We have found two types of dynamics of compact structures, one,
the snowflake-like, robust in both linear and nonlinear regime, and the other one,
breathing complexes, robust only in the presence of weak nonlinearity",
journal = "BPU11 : 11th International Conference of the Balkan Physical Union",
title = "Compact localized modes in Dice lattice dressed by artificial flux",
volume = "427",
pages = "146-146",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11850"
}

Stojanović, M. G., Stojanović Krasić, M., Johansson, M., Salinas, I.A., Vicencio, R.A.,& Stepić, M.. (2022). Compact localized modes in Dice lattice dressed by artificial flux. in BPU11 : 11th International Conference of the Balkan Physical Union, 427, 146-146.
https://hdl.handle.net/21.15107/rcub_vinar_11850

Stojanović MG, Stojanović Krasić M, Johansson M, Salinas I, Vicencio R, Stepić M. Compact localized modes in Dice lattice dressed by artificial flux. in BPU11 : 11th International Conference of the Balkan Physical Union. 2022;427:146-146.
https://hdl.handle.net/21.15107/rcub_vinar_11850 .

Stojanović, Mirjana G., Stojanović Krasić, Marija, Johansson, M., Salinas, I.A., Vicencio, R.A., Stepić, Milutin, "Compact localized modes in Dice lattice dressed by artificial flux" in BPU11 : 11th International Conference of the Balkan Physical Union, 427 (2022):146-146,
https://hdl.handle.net/21.15107/rcub_vinar_11850 .

TY  - CONF
AU  - Stojanović, Mirjana G.
AU  - Gundogdu, S.
AU  - Stojanović Krasić, M.
AU  - Stepić, Milutin
AU  - Maluckov, Aleksandra
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10900
AB  - The flat-band lattice systems attract researches in photonics owing to peculiar transport properties and localization of light in the absence of dispersion [1, 2]. Moreover, the photonic flat-band systems are easy manageable platforms for testing the properties of the nearly flat band systems in the context of the condensed mater physics. Here, we extend our previous study [3] of the compact localized modes in the two-dimensional photonic octagonal-diamond lattice (ODL) dressing it with artificial flux. We provide a routine to change the band structure of the ODL, with two flat-bands interrelated by one dispersive band (flux-free case), to those with one fully gapped flat-band by tuning the value of the artificial flux [4]. The possibility of realization of the proposed system in the laboratory is offered by experiments with optical resonators and the femto-second laser inscribed curved lattices. The flat-band compact localized linear eigenmodes will be examined numerically. The main aim is to test their robustness to the presence of the local nonlinearity. We investigate dependence of the dynamical properties of the nonlinear localized modes continued by nonlinearity from the linear compacton families on the flux-determined flat-band pattern
PB  - Belgrade : Institute of Physics Belgrade
C3  - PHOTONICA2021 : 8th International School and Conference on Photonics and HEMMAGINERO workshop : Abstracts of Tutorial, Keynote, Invited Lectures, Progress Reports and Contributed Papers; August 23-27, 2021; Belgrade
T1  - Compact localized modes in the flux dressed 2D octagonal-diamond photonic lattice in the presence of nonlinearity
SP  - 69
UR  - https://hdl.handle.net/21.15107/rcub_vinar_10900
ER  - 

@conference{
author = "Stojanović, Mirjana G. and Gundogdu, S. and Stojanović Krasić, M. and Stepić, Milutin and Maluckov, Aleksandra",
year = "2021",
abstract = "The flat-band lattice systems attract researches in photonics owing to peculiar transport properties and localization of light in the absence of dispersion [1, 2]. Moreover, the photonic flat-band systems are easy manageable platforms for testing the properties of the nearly flat band systems in the context of the condensed mater physics. Here, we extend our previous study [3] of the compact localized modes in the two-dimensional photonic octagonal-diamond lattice (ODL) dressing it with artificial flux. We provide a routine to change the band structure of the ODL, with two flat-bands interrelated by one dispersive band (flux-free case), to those with one fully gapped flat-band by tuning the value of the artificial flux [4]. The possibility of realization of the proposed system in the laboratory is offered by experiments with optical resonators and the femto-second laser inscribed curved lattices. The flat-band compact localized linear eigenmodes will be examined numerically. The main aim is to test their robustness to the presence of the local nonlinearity. We investigate dependence of the dynamical properties of the nonlinear localized modes continued by nonlinearity from the linear compacton families on the flux-determined flat-band pattern",
publisher = "Belgrade : Institute of Physics Belgrade",
journal = "PHOTONICA2021 : 8th International School and Conference on Photonics and HEMMAGINERO workshop : Abstracts of Tutorial, Keynote, Invited Lectures, Progress Reports and Contributed Papers; August 23-27, 2021; Belgrade",
title = "Compact localized modes in the flux dressed 2D octagonal-diamond photonic lattice in the presence of nonlinearity",
pages = "69",
url = "https://hdl.handle.net/21.15107/rcub_vinar_10900"
}

Stojanović, M. G., Gundogdu, S., Stojanović Krasić, M., Stepić, M.,& Maluckov, A.. (2021). Compact localized modes in the flux dressed 2D octagonal-diamond photonic lattice in the presence of nonlinearity. in PHOTONICA2021 : 8th International School and Conference on Photonics and HEMMAGINERO workshop : Abstracts of Tutorial, Keynote, Invited Lectures, Progress Reports and Contributed Papers; August 23-27, 2021; Belgrade
Belgrade : Institute of Physics Belgrade., 69.
https://hdl.handle.net/21.15107/rcub_vinar_10900

Stojanović MG, Gundogdu S, Stojanović Krasić M, Stepić M, Maluckov A. Compact localized modes in the flux dressed 2D octagonal-diamond photonic lattice in the presence of nonlinearity. in PHOTONICA2021 : 8th International School and Conference on Photonics and HEMMAGINERO workshop : Abstracts of Tutorial, Keynote, Invited Lectures, Progress Reports and Contributed Papers; August 23-27, 2021; Belgrade. 2021;:69.
https://hdl.handle.net/21.15107/rcub_vinar_10900 .

Stojanović, Mirjana G., Gundogdu, S., Stojanović Krasić, M., Stepić, Milutin, Maluckov, Aleksandra, "Compact localized modes in the flux dressed 2D octagonal-diamond photonic lattice in the presence of nonlinearity" in PHOTONICA2021 : 8th International School and Conference on Photonics and HEMMAGINERO workshop : Abstracts of Tutorial, Keynote, Invited Lectures, Progress Reports and Contributed Papers; August 23-27, 2021; Belgrade (2021):69,
https://hdl.handle.net/21.15107/rcub_vinar_10900 .

TY  - JOUR
AU  - Stojanović, Mirjana G.
AU  - Stojanović Krasić, Marija
AU  - Maluckov, Aleksandra
AU  - Johansson, Magnus M.
AU  - Salinas, I. A.
AU  - Vicencio, Rodrigo A.
AU  - Stepić, Milutin
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9664
AB  - We consider a two-dimensional octagonal-diamond network with a fine-tuned diagonal coupling inside the diamond-shaped unit cell. Its linear spectrum exhibits coexistence of two dispersive bands (DBs) and two flat bands (FBs), touching one of the DBs embedded between them. Analogous to the kagome lattice, one of the FBs will constitute the ground state of the system for a proper sign choice of the Hamiltonian. The system is characterized by two different flat-band fundamental octagonal compactons, originating from the destructive interference of fully geometric nature. In the presence of a nonlinear amplitude (on-site) perturbation, the single-octagon linear modes continue into one-parameter families of nonlinear compact modes with the same amplitude and phase structure. However, numerical stability analysis indicates that all strictly compact nonlinear modes are unstable, either purely exponentially or with oscillatory instabilities, for weak and intermediate nonlinearities and sufficiently large system sizes. Stabilization may appear in certain ranges for finite systems and, for the compacton originating from the band at the spectral edge, also in a regime of very large focusing nonlinearities. In contrast to the kagome lattice, the latter compacton family will become unstable already for arbitrarily weak defocusing nonlinearity for large enough systems. We show analytically the existence of a critical system size consisting of 12 octagon rings, such that the ground state for weak defocusing nonlinearity is a stable single compacton for smaller systems, and a continuation of a nontrivial, noncompact linear combination of single compacton modes for larger systems. Investigating generally the different nonlinear localized (noncompact) mode families in the semi-infinite gap bounded by this FB, we find that, for increasing (defocusing) nonlinearity the stable ground state will continuously develop into an exponentially localized mode with two main peaks in antiphase. At a critical nonlinearity strength a symmetry-breaking pitchfork bifurcation appears, so that the stable ground state is single peaked for larger defocusing nonlinearities. We also investigate numerically the mobility of localized modes in this regime and find that the considered modes are generally immobile both with respect to axial and diagonal phase-gradient perturbations.
T2  - Physical Review A
T1  - Localized modes in linear and nonlinear octagonal-diamond lattices with two flat bands
VL  - 102
IS  - 2
SP  - 023532
DO  - 10.1103/PhysRevA.102.023532
ER  - 

@article{
author = "Stojanović, Mirjana G. and Stojanović Krasić, Marija and Maluckov, Aleksandra and Johansson, Magnus M. and Salinas, I. A. and Vicencio, Rodrigo A. and Stepić, Milutin",
year = "2020",
abstract = "We consider a two-dimensional octagonal-diamond network with a fine-tuned diagonal coupling inside the diamond-shaped unit cell. Its linear spectrum exhibits coexistence of two dispersive bands (DBs) and two flat bands (FBs), touching one of the DBs embedded between them. Analogous to the kagome lattice, one of the FBs will constitute the ground state of the system for a proper sign choice of the Hamiltonian. The system is characterized by two different flat-band fundamental octagonal compactons, originating from the destructive interference of fully geometric nature. In the presence of a nonlinear amplitude (on-site) perturbation, the single-octagon linear modes continue into one-parameter families of nonlinear compact modes with the same amplitude and phase structure. However, numerical stability analysis indicates that all strictly compact nonlinear modes are unstable, either purely exponentially or with oscillatory instabilities, for weak and intermediate nonlinearities and sufficiently large system sizes. Stabilization may appear in certain ranges for finite systems and, for the compacton originating from the band at the spectral edge, also in a regime of very large focusing nonlinearities. In contrast to the kagome lattice, the latter compacton family will become unstable already for arbitrarily weak defocusing nonlinearity for large enough systems. We show analytically the existence of a critical system size consisting of 12 octagon rings, such that the ground state for weak defocusing nonlinearity is a stable single compacton for smaller systems, and a continuation of a nontrivial, noncompact linear combination of single compacton modes for larger systems. Investigating generally the different nonlinear localized (noncompact) mode families in the semi-infinite gap bounded by this FB, we find that, for increasing (defocusing) nonlinearity the stable ground state will continuously develop into an exponentially localized mode with two main peaks in antiphase. At a critical nonlinearity strength a symmetry-breaking pitchfork bifurcation appears, so that the stable ground state is single peaked for larger defocusing nonlinearities. We also investigate numerically the mobility of localized modes in this regime and find that the considered modes are generally immobile both with respect to axial and diagonal phase-gradient perturbations.",
journal = "Physical Review A",
title = "Localized modes in linear and nonlinear octagonal-diamond lattices with two flat bands",
volume = "102",
number = "2",
pages = "023532",
doi = "10.1103/PhysRevA.102.023532"
}

Stojanović, M. G., Stojanović Krasić, M., Maluckov, A., Johansson, M. M., Salinas, I. A., Vicencio, R. A.,& Stepić, M.. (2020). Localized modes in linear and nonlinear octagonal-diamond lattices with two flat bands. in Physical Review A, 102(2), 023532.
https://doi.org/10.1103/PhysRevA.102.023532

Stojanović MG, Stojanović Krasić M, Maluckov A, Johansson MM, Salinas IA, Vicencio RA, Stepić M. Localized modes in linear and nonlinear octagonal-diamond lattices with two flat bands. in Physical Review A. 2020;102(2):023532.
doi:10.1103/PhysRevA.102.023532 .

Stojanović, Mirjana G., Stojanović Krasić, Marija, Maluckov, Aleksandra, Johansson, Magnus M., Salinas, I. A., Vicencio, Rodrigo A., Stepić, Milutin, "Localized modes in linear and nonlinear octagonal-diamond lattices with two flat bands" in Physical Review A, 102, no. 2 (2020):023532,
https://doi.org/10.1103/PhysRevA.102.023532 . .

TY  - JOUR
AU  - Stojanović Krasić, Marija
AU  - Stojanović, Mirjana G.
AU  - Maluckov, Aleksandra
AU  - Maczewsky, Lukas J.
AU  - Szameit, Alexander
AU  - Stepić, Milutin
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9684
AB  - We investigate analytically and numerically the existence and dynamical stability of different localized modes in a two-dimensional photonic lattice comprising a square plaquette inscribed in the dodecagon lattices. The eigenvalue spectrum of the underlying linear lattice is characterized by a net formed of one flat band and four dispersive bands. By tailoring the intersite coupling coefficient ratio, opening of gaps between two pairs of neighboring dispersive bands can be induced, while the fully degenerate flat band characterized by compact eigenmodes stays nested between two inner dispersive bands. The nonlinearity destabilizes the compact modes and gives rise to unique families of localized modes in the newly opened gaps, as well as in the semi-infinite gaps. The governing mechanism of mode localization in that case is the light energy self-trapping effect. We have shown the stability of a few families of nonlinear modes in gaps. The suggested lattice model may serve for probing various artificial flat-band systems such as ultracold atoms in optical lattices, periodic electronic networks, and polariton condensates.
T2  - Physical Review E
T1  - Localized modes in a two-dimensional lattice with a pluslike geometry
VL  - 102
IS  - 3
SP  - 032207
DO  - 10.1103/PhysRevE.102.032207
ER  - 

@article{
author = "Stojanović Krasić, Marija and Stojanović, Mirjana G. and Maluckov, Aleksandra and Maczewsky, Lukas J. and Szameit, Alexander and Stepić, Milutin",
year = "2020",
abstract = "We investigate analytically and numerically the existence and dynamical stability of different localized modes in a two-dimensional photonic lattice comprising a square plaquette inscribed in the dodecagon lattices. The eigenvalue spectrum of the underlying linear lattice is characterized by a net formed of one flat band and four dispersive bands. By tailoring the intersite coupling coefficient ratio, opening of gaps between two pairs of neighboring dispersive bands can be induced, while the fully degenerate flat band characterized by compact eigenmodes stays nested between two inner dispersive bands. The nonlinearity destabilizes the compact modes and gives rise to unique families of localized modes in the newly opened gaps, as well as in the semi-infinite gaps. The governing mechanism of mode localization in that case is the light energy self-trapping effect. We have shown the stability of a few families of nonlinear modes in gaps. The suggested lattice model may serve for probing various artificial flat-band systems such as ultracold atoms in optical lattices, periodic electronic networks, and polariton condensates.",
journal = "Physical Review E",
title = "Localized modes in a two-dimensional lattice with a pluslike geometry",
volume = "102",
number = "3",
pages = "032207",
doi = "10.1103/PhysRevE.102.032207"
}

Stojanović Krasić, M., Stojanović, M. G., Maluckov, A., Maczewsky, L. J., Szameit, A.,& Stepić, M.. (2020). Localized modes in a two-dimensional lattice with a pluslike geometry. in Physical Review E, 102(3), 032207.
https://doi.org/10.1103/PhysRevE.102.032207

Stojanović Krasić M, Stojanović MG, Maluckov A, Maczewsky LJ, Szameit A, Stepić M. Localized modes in a two-dimensional lattice with a pluslike geometry. in Physical Review E. 2020;102(3):032207.
doi:10.1103/PhysRevE.102.032207 .

Stojanović Krasić, Marija, Stojanović, Mirjana G., Maluckov, Aleksandra, Maczewsky, Lukas J., Szameit, Alexander, Stepić, Milutin, "Localized modes in a two-dimensional lattice with a pluslike geometry" in Physical Review E, 102, no. 3 (2020):032207,
https://doi.org/10.1103/PhysRevE.102.032207 . .

TY  - CONF
AU  - Stojanović, Mirjana G.
AU  - Stojanović Krasić, Marija
AU  - Maluckov, Aleksandra
AU  - Stepić, Milutin
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11853
C3  - 13th Photonics Workshop : Book of abstracts
T1  - Compactons in two-dimensional octagonal-diamond lattices
SP  - 28
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11853
ER  - 

@conference{
author = "Stojanović, Mirjana G. and Stojanović Krasić, Marija and Maluckov, Aleksandra and Stepić, Milutin",
year = "2020",
journal = "13th Photonics Workshop : Book of abstracts",
title = "Compactons in two-dimensional octagonal-diamond lattices",
pages = "28",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11853"
}

Stojanović, M. G., Stojanović Krasić, M., Maluckov, A.,& Stepić, M.. (2020). Compactons in two-dimensional octagonal-diamond lattices. in 13th Photonics Workshop : Book of abstracts, 28.
https://hdl.handle.net/21.15107/rcub_vinar_11853

Stojanović MG, Stojanović Krasić M, Maluckov A, Stepić M. Compactons in two-dimensional octagonal-diamond lattices. in 13th Photonics Workshop : Book of abstracts. 2020;:28.
https://hdl.handle.net/21.15107/rcub_vinar_11853 .

Stojanović, Mirjana G., Stojanović Krasić, Marija, Maluckov, Aleksandra, Stepić, Milutin, "Compactons in two-dimensional octagonal-diamond lattices" in 13th Photonics Workshop : Book of abstracts (2020):28,
https://hdl.handle.net/21.15107/rcub_vinar_11853 .

TY  - CONF
AU  - Stojanović Krasić, Marija
AU  - Stojanović, Mirjana G.
AU  - Maluckov, Aleksandra
AU  - Stepić, Milutin
PY  - 2019
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11848
AB  - We have proposed a design of new photonic lattice which does not exist in nature but might be easily fabricated by femtosecond laser inscription technique. The novel two-dimensional photonic lattice comprises of square elementary plaquette inscribed in dodecagon elementary plaquette. Unit cell of the lattice consists of five linearly coupled sites distributed at the edges and in the center of a “plus” sign. Existence and stability of linear and nonlinear localized modes in the uniform and binary “plus” lattice are numerically investigated. The energy spectrum of linear lattice is characterized by a flat band (FB) and four dispersive bands (DB). The FB intersects with two neighboring DBs at four Dirac points at the end of and one in the middle of the Brillouin zone [1]. The lattice binarity provided the opening of gaps between DBs. At the end of the first stage of our study, we can report the existence of FB modes, i.e. compactons, which in the presence of nonlinearity lose the stability owing to the Fano-resonances with the extended states from DBs [2]. In addition, we found a pair of new nonlinear localized mode families in gaps opened by binarity, which could be stable in certain regions of the nonlinearity parameter. The next challenge is related to searching for edge modes and energy transport characteristics in the lattice.
PB  - Belgrade : Vinča Institute of Nuclear Sciences, University of Belgrade
C3  - PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts
T1  - Localized modes in two-dimensional “plus” lattice
SP  - 89
EP  - 89
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11848
ER  - 

@conference{
author = "Stojanović Krasić, Marija and Stojanović, Mirjana G. and Maluckov, Aleksandra and Stepić, Milutin",
year = "2019",
abstract = "We have proposed a design of new photonic lattice which does not exist in nature but might be easily fabricated by femtosecond laser inscription technique. The novel two-dimensional photonic lattice comprises of square elementary plaquette inscribed in dodecagon elementary plaquette. Unit cell of the lattice consists of five linearly coupled sites distributed at the edges and in the center of a “plus” sign. Existence and stability of linear and nonlinear localized modes in the uniform and binary “plus” lattice are numerically investigated. The energy spectrum of linear lattice is characterized by a flat band (FB) and four dispersive bands (DB). The FB intersects with two neighboring DBs at four Dirac points at the end of and one in the middle of the Brillouin zone [1]. The lattice binarity provided the opening of gaps between DBs. At the end of the first stage of our study, we can report the existence of FB modes, i.e. compactons, which in the presence of nonlinearity lose the stability owing to the Fano-resonances with the extended states from DBs [2]. In addition, we found a pair of new nonlinear localized mode families in gaps opened by binarity, which could be stable in certain regions of the nonlinearity parameter. The next challenge is related to searching for edge modes and energy transport characteristics in the lattice.",
publisher = "Belgrade : Vinča Institute of Nuclear Sciences, University of Belgrade",
journal = "PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts",
title = "Localized modes in two-dimensional “plus” lattice",
pages = "89-89",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11848"
}

Stojanović Krasić, M., Stojanović, M. G., Maluckov, A.,& Stepić, M.. (2019). Localized modes in two-dimensional “plus” lattice. in PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts
Belgrade : Vinča Institute of Nuclear Sciences, University of Belgrade., 89-89.
https://hdl.handle.net/21.15107/rcub_vinar_11848

Stojanović Krasić M, Stojanović MG, Maluckov A, Stepić M. Localized modes in two-dimensional “plus” lattice. in PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts. 2019;:89-89.
https://hdl.handle.net/21.15107/rcub_vinar_11848 .

Stojanović Krasić, Marija, Stojanović, Mirjana G., Maluckov, Aleksandra, Stepić, Milutin, "Localized modes in two-dimensional “plus” lattice" in PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts (2019):89-89,
https://hdl.handle.net/21.15107/rcub_vinar_11848 .

TY  - CONF
AU  - Stojanović, Mirjana G.
AU  - Stojanović Krasić, Marija
AU  - Johansson, M.
AU  - Salinas, I.A.
AU  - Vicencio, R.A.
AU  - Stepić, Milutin
PY  - 2019
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11849
AB  - Two-dimensional octagonal-diamond (OD) atomic lattices have been explored in recent times to study phenomena related to topological phase transitions induced by spin-orbit interaction and gauge fields [1], and magnetic phases and metal-insulator transitions with Hubbard interaction [2, 3]. It can lead to the appearance of nontrivial nearly flat band states with particular topological properties [4]. Here we study the octagonal-diamond photonic lattice formed of linearly coupled waveguides, proposed by [4] as a possible experimental realization of an artificial flat-band system. We investigated analytically and numerically the existence and stability of linear and nonlinear localized modes in a two-dimensional OD lattice. The primitive cell consists of four sites, linearly coupled with each other with the same coupling constant, including two diagonal couplings. The eigenvalue spectrum of the linear lattice consists of two flat bands and two dispersive bands [4]. The upper dispersive band intersects the upper flat band in the middle of the Brillouin zone, as well as the second flat band at the end of the Brillouin zone. In the linear case, there are two types of localized linear solutions, which are composed of eight sites each, having either monomer (+ - + - + - + -) or dimer (+ + - - + + - -) staggered phase structure [4]. In the presence of Kerr nonlinearity, both focusing and defocusing, compacton-like solutions [5] may exhibit instabilities due to intersections of the upper dispersive band and the flat bands. We also discuss the possibility of finding soliton solutions in the frequency gaps occurring between the flat bands and the isolated dispersive bands.
PB  - Belgrade : Vinča Institute of Nuclear Sciences, University of Belgrade
C3  - PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts
T1  - Localized modes in two-dimensional octagonal-diamond lattices
SP  - 93
EP  - 93
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11849
ER  - 

@conference{
author = "Stojanović, Mirjana G. and Stojanović Krasić, Marija and Johansson, M. and Salinas, I.A. and Vicencio, R.A. and Stepić, Milutin",
year = "2019",
abstract = "Two-dimensional octagonal-diamond (OD) atomic lattices have been explored in recent times to study phenomena related to topological phase transitions induced by spin-orbit interaction and gauge fields [1], and magnetic phases and metal-insulator transitions with Hubbard interaction [2, 3]. It can lead to the appearance of nontrivial nearly flat band states with particular topological properties [4]. Here we study the octagonal-diamond photonic lattice formed of linearly coupled waveguides, proposed by [4] as a possible experimental realization of an artificial flat-band system. We investigated analytically and numerically the existence and stability of linear and nonlinear localized modes in a two-dimensional OD lattice. The primitive cell consists of four sites, linearly coupled with each other with the same coupling constant, including two diagonal couplings. The eigenvalue spectrum of the linear lattice consists of two flat bands and two dispersive bands [4]. The upper dispersive band intersects the upper flat band in the middle of the Brillouin zone, as well as the second flat band at the end of the Brillouin zone. In the linear case, there are two types of localized linear solutions, which are composed of eight sites each, having either monomer (+ - + - + - + -) or dimer (+ + - - + + - -) staggered phase structure [4]. In the presence of Kerr nonlinearity, both focusing and defocusing, compacton-like solutions [5] may exhibit instabilities due to intersections of the upper dispersive band and the flat bands. We also discuss the possibility of finding soliton solutions in the frequency gaps occurring between the flat bands and the isolated dispersive bands.",
publisher = "Belgrade : Vinča Institute of Nuclear Sciences, University of Belgrade",
journal = "PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts",
title = "Localized modes in two-dimensional octagonal-diamond lattices",
pages = "93-93",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11849"
}

Stojanović, M. G., Stojanović Krasić, M., Johansson, M., Salinas, I.A., Vicencio, R.A.,& Stepić, M.. (2019). Localized modes in two-dimensional octagonal-diamond lattices. in PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts
Belgrade : Vinča Institute of Nuclear Sciences, University of Belgrade., 93-93.
https://hdl.handle.net/21.15107/rcub_vinar_11849

Stojanović MG, Stojanović Krasić M, Johansson M, Salinas I, Vicencio R, Stepić M. Localized modes in two-dimensional octagonal-diamond lattices. in PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts. 2019;:93-93.
https://hdl.handle.net/21.15107/rcub_vinar_11849 .

Stojanović, Mirjana G., Stojanović Krasić, Marija, Johansson, M., Salinas, I.A., Vicencio, R.A., Stepić, Milutin, "Localized modes in two-dimensional octagonal-diamond lattices" in PHOTONICA2019 : 7th International School and Conference on Photonics & Machine Learning with Photonics Symposium : Book of abstracts (2019):93-93,
https://hdl.handle.net/21.15107/rcub_vinar_11849 .

TY  - JOUR
AU  - Peruško, Davor
AU  - Petrović, Suzana
AU  - Stojanović, Mirjana
AU  - Mitrić, Miodrag
AU  - Cizmovic, M.
AU  - Panjan, Matjaž
AU  - Milosavljević, Momir
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4913
AB  - The effects of Ar+ ion irradiation on Al/Ti multilayers at room temperature were investigated. Eight (Al/Ti) bilayers were deposited by d.c. ion sputtering on (100) Si wafers to a total thickness of similar to 300 nm. Ion irradiations were performed by 180 keV Ar+ ions with doses 1-6 x 10(16) ions cm(-2). After implantation the samples were vacuum annealed at 400 degrees C for 30 min. Ion irradiations induced intermixing of layer constituents. and for the highest fluence formation of AlTi and AlTi3 intermetallic phases in the vicinity of the mid projected range of the impact ions. Subsequent vacuum annealing of sample implanted to 6 x 10(16) ions cm(-2) lead to transformation of all deposited layers into AlTi3 and gamma-AlTi intermetallic phases, except for 3-4 layers close to the substrate which were out of range of the effects induced by ion implantation. It is assumed that Al-Ti reaction was initiated by thermal spikes and further enhanced by chemical driving forces, but only in the intermixed region. This procedure may be interesting for fabrication of Al-Ti intermetallic compounds tightly adhered on different substrates. (C) 2011 Elsevier B.V. All rights reserved.
T2  - Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms
T1  - Formation of intermetallics by ion implantation of multilatered Al/Ti nano-structures
VL  - 282
SP  - 4
EP  - 7
DO  - 10.1016/j.nimb.2011.08.038
ER  - 

@article{
author = "Peruško, Davor and Petrović, Suzana and Stojanović, Mirjana and Mitrić, Miodrag and Cizmovic, M. and Panjan, Matjaž and Milosavljević, Momir",
year = "2012",
abstract = "The effects of Ar+ ion irradiation on Al/Ti multilayers at room temperature were investigated. Eight (Al/Ti) bilayers were deposited by d.c. ion sputtering on (100) Si wafers to a total thickness of similar to 300 nm. Ion irradiations were performed by 180 keV Ar+ ions with doses 1-6 x 10(16) ions cm(-2). After implantation the samples were vacuum annealed at 400 degrees C for 30 min. Ion irradiations induced intermixing of layer constituents. and for the highest fluence formation of AlTi and AlTi3 intermetallic phases in the vicinity of the mid projected range of the impact ions. Subsequent vacuum annealing of sample implanted to 6 x 10(16) ions cm(-2) lead to transformation of all deposited layers into AlTi3 and gamma-AlTi intermetallic phases, except for 3-4 layers close to the substrate which were out of range of the effects induced by ion implantation. It is assumed that Al-Ti reaction was initiated by thermal spikes and further enhanced by chemical driving forces, but only in the intermixed region. This procedure may be interesting for fabrication of Al-Ti intermetallic compounds tightly adhered on different substrates. (C) 2011 Elsevier B.V. All rights reserved.",
journal = "Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms",
title = "Formation of intermetallics by ion implantation of multilatered Al/Ti nano-structures",
volume = "282",
pages = "4-7",
doi = "10.1016/j.nimb.2011.08.038"
}

Peruško, D., Petrović, S., Stojanović, M., Mitrić, M., Cizmovic, M., Panjan, M.,& Milosavljević, M.. (2012). Formation of intermetallics by ion implantation of multilatered Al/Ti nano-structures. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 282, 4-7.
https://doi.org/10.1016/j.nimb.2011.08.038

Peruško D, Petrović S, Stojanović M, Mitrić M, Cizmovic M, Panjan M, Milosavljević M. Formation of intermetallics by ion implantation of multilatered Al/Ti nano-structures. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms. 2012;282:4-7.
doi:10.1016/j.nimb.2011.08.038 .

Peruško, Davor, Petrović, Suzana, Stojanović, Mirjana, Mitrić, Miodrag, Cizmovic, M., Panjan, Matjaž, Milosavljević, Momir, "Formation of intermetallics by ion implantation of multilatered Al/Ti nano-structures" in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 282 (2012):4-7,
https://doi.org/10.1016/j.nimb.2011.08.038 . .

TY  - JOUR
AU  - Stojanović, Mirjana
AU  - Maluckov, Aleksandra
AU  - Hadžievski, Ljupčo
AU  - Malomed, Boris A.
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4493
AB  - Fundamental solitons pinned to the interface between three semi-infinite one-dimensional nonlinear dynamical chains, coupled at a single site, are investigated. The light propagation in the respective system with the self-attractive on-site cubic nonlinearity, which can be implemented as an array of nonlinear optical waveguides, is modeled by the system of three discrete nonlinear Schrodinger equations. The formation, stability and dynamics of symmetric and asymmetric fundamental solitons centered at the interface are investigated analytically by means of the variational approximation (VA) and in a numerical form. The VA predicts that two asymmetric and two antisymmetric branches exist in the entire parameter space, while four asymmetric modes and the symmetric one can be found below some critical value of the inter-lattice coupling parameter actually, past the symmetry-breaking bifurcation. At this bifurcation point, the symmetric branch is destabilized and two new asymmetric soliton branches appear, one stable and the other unstable. In this area, the antisymmetric branch changes its character, getting stabilized against oscillatory perturbations. In direct simulations, unstable symmetric modes radiate a part of their power, staying trapped around the interface. Highly unstable asymmetric modes transform into localized breathers traveling from the interface region across the lattice without significant power loss. (C) 2011 Elsevier B.V. All rights reserved.
T2  - Physica. D: Nonlinear Phenomena
T1  - Surface solitons in trilete lattices
VL  - 240
IS  - 18
SP  - 1489
EP  - 1496
DO  - 10.1016/j.physd.2011.06.017
ER  - 

@article{
author = "Stojanović, Mirjana and Maluckov, Aleksandra and Hadžievski, Ljupčo and Malomed, Boris A.",
year = "2011",
abstract = "Fundamental solitons pinned to the interface between three semi-infinite one-dimensional nonlinear dynamical chains, coupled at a single site, are investigated. The light propagation in the respective system with the self-attractive on-site cubic nonlinearity, which can be implemented as an array of nonlinear optical waveguides, is modeled by the system of three discrete nonlinear Schrodinger equations. The formation, stability and dynamics of symmetric and asymmetric fundamental solitons centered at the interface are investigated analytically by means of the variational approximation (VA) and in a numerical form. The VA predicts that two asymmetric and two antisymmetric branches exist in the entire parameter space, while four asymmetric modes and the symmetric one can be found below some critical value of the inter-lattice coupling parameter actually, past the symmetry-breaking bifurcation. At this bifurcation point, the symmetric branch is destabilized and two new asymmetric soliton branches appear, one stable and the other unstable. In this area, the antisymmetric branch changes its character, getting stabilized against oscillatory perturbations. In direct simulations, unstable symmetric modes radiate a part of their power, staying trapped around the interface. Highly unstable asymmetric modes transform into localized breathers traveling from the interface region across the lattice without significant power loss. (C) 2011 Elsevier B.V. All rights reserved.",
journal = "Physica. D: Nonlinear Phenomena",
title = "Surface solitons in trilete lattices",
volume = "240",
number = "18",
pages = "1489-1496",
doi = "10.1016/j.physd.2011.06.017"
}

Stojanović, M., Maluckov, A., Hadžievski, L.,& Malomed, B. A.. (2011). Surface solitons in trilete lattices. in Physica. D: Nonlinear Phenomena, 240(18), 1489-1496.
https://doi.org/10.1016/j.physd.2011.06.017

Stojanović M, Maluckov A, Hadžievski L, Malomed BA. Surface solitons in trilete lattices. in Physica. D: Nonlinear Phenomena. 2011;240(18):1489-1496.
doi:10.1016/j.physd.2011.06.017 .

Stojanović, Mirjana, Maluckov, Aleksandra, Hadžievski, Ljupčo, Malomed, Boris A., "Surface solitons in trilete lattices" in Physica. D: Nonlinear Phenomena, 240, no. 18 (2011):1489-1496,
https://doi.org/10.1016/j.physd.2011.06.017 . .