On localized modes in nonlinear binary kagome ribbons
Аутори
Beličev, PetraGligorić, Goran
Radosavljević, Ana
Maluckov, Aleksandra
Stepić, Milutin
Poblete, Rodrigo Andres Vicencio
Johansson, Magnus M.
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
One of the attractive two-dimensional [2D] lattice configurations is characterized by kagome geometry. The specific arrangement of its elements, i.e. waveguides, in the form of periodic hexagons renders completely flat the first energy band in linear case. As a consequence, the localized ring-like eigenmodes belonging to the lowest energy state propagate without diffraction through the system [1, 2]. Here we study kagome ribbon [3], which can be interpreted as one-dimensional counterpart of the standard 2D kagome lattice, and can be fabricated by dint of the direct femtosecond laser inscription [4, 5]. The existence, stability and dynamical properties of various localized modes in binary kagome ribbon with defocusing Kerr type of nonlinearity have been explored, both numerically and analytically. We derived the corresponding dispersion relation and the bandgap spectrum, confirmed the opening of mini-gaps in it and found several types of stable ring-like modes to exist: staggered, unsta...ggered and vortex. Beside these nonlinear mode configurations occurring in a semi-infinite gap, we investigated features of "hourglass" solutions, identified in [3] as interesting structures when kagome lattice dimensionality is reduced to 1D. In nonlinear binary kagome ribbon dynamically stable propagation of unstaggered rings, vortex modes with certain topological charge and hourglass solutions are observed, while the staggered ring solutions are destabilized. In addition, we examined possibility to generate stable propagating solitary modes inside the first mini-gap and found that these mode patterns localize within sites mutually coupled by smaller coupling constant. The last feature is opposite to the nonlinear localized solutions found in the semi-infinite gap.
Извор:
PHOTONICA2015 : 5th International School and Conference on Photonics and COST actions: MP1204, BM1205 and MP1205 : book of abstracts; August 24-28, 2015; Belgrade, 2015, 68-Издавач:
- Belgrade : Vinča Institute of Nuclear Sciences
Напомена:
- V International School and Conference on Photonics and COST actions: MP1204, BM1205 and MP1205 and the Second international workshop "Control of light and matter waves propagation and localization in photonic lattices" : PHOTONICA2015 : book of abstracts; August 24-28, 2015; Belgrade
Институција/група
VinčaTY - CONF AU - Beličev, Petra AU - Gligorić, Goran AU - Radosavljević, Ana AU - Maluckov, Aleksandra AU - Stepić, Milutin AU - Poblete, Rodrigo Andres Vicencio AU - Johansson, Magnus M. PY - 2015 UR - https://vinar.vin.bg.ac.rs/handle/123456789/10954 AB - One of the attractive two-dimensional [2D] lattice configurations is characterized by kagome geometry. The specific arrangement of its elements, i.e. waveguides, in the form of periodic hexagons renders completely flat the first energy band in linear case. As a consequence, the localized ring-like eigenmodes belonging to the lowest energy state propagate without diffraction through the system [1, 2]. Here we study kagome ribbon [3], which can be interpreted as one-dimensional counterpart of the standard 2D kagome lattice, and can be fabricated by dint of the direct femtosecond laser inscription [4, 5]. The existence, stability and dynamical properties of various localized modes in binary kagome ribbon with defocusing Kerr type of nonlinearity have been explored, both numerically and analytically. We derived the corresponding dispersion relation and the bandgap spectrum, confirmed the opening of mini-gaps in it and found several types of stable ring-like modes to exist: staggered, unstaggered and vortex. Beside these nonlinear mode configurations occurring in a semi-infinite gap, we investigated features of "hourglass" solutions, identified in [3] as interesting structures when kagome lattice dimensionality is reduced to 1D. In nonlinear binary kagome ribbon dynamically stable propagation of unstaggered rings, vortex modes with certain topological charge and hourglass solutions are observed, while the staggered ring solutions are destabilized. In addition, we examined possibility to generate stable propagating solitary modes inside the first mini-gap and found that these mode patterns localize within sites mutually coupled by smaller coupling constant. The last feature is opposite to the nonlinear localized solutions found in the semi-infinite gap. PB - Belgrade : Vinča Institute of Nuclear Sciences C3 - PHOTONICA2015 : 5th International School and Conference on Photonics and COST actions: MP1204, BM1205 and MP1205 : book of abstracts; August 24-28, 2015; Belgrade T1 - On localized modes in nonlinear binary kagome ribbons SP - 68 UR - https://hdl.handle.net/21.15107/rcub_vinar_10954 ER -
@conference{ author = "Beličev, Petra and Gligorić, Goran and Radosavljević, Ana and Maluckov, Aleksandra and Stepić, Milutin and Poblete, Rodrigo Andres Vicencio and Johansson, Magnus M.", year = "2015", abstract = "One of the attractive two-dimensional [2D] lattice configurations is characterized by kagome geometry. The specific arrangement of its elements, i.e. waveguides, in the form of periodic hexagons renders completely flat the first energy band in linear case. As a consequence, the localized ring-like eigenmodes belonging to the lowest energy state propagate without diffraction through the system [1, 2]. Here we study kagome ribbon [3], which can be interpreted as one-dimensional counterpart of the standard 2D kagome lattice, and can be fabricated by dint of the direct femtosecond laser inscription [4, 5]. The existence, stability and dynamical properties of various localized modes in binary kagome ribbon with defocusing Kerr type of nonlinearity have been explored, both numerically and analytically. We derived the corresponding dispersion relation and the bandgap spectrum, confirmed the opening of mini-gaps in it and found several types of stable ring-like modes to exist: staggered, unstaggered and vortex. Beside these nonlinear mode configurations occurring in a semi-infinite gap, we investigated features of "hourglass" solutions, identified in [3] as interesting structures when kagome lattice dimensionality is reduced to 1D. In nonlinear binary kagome ribbon dynamically stable propagation of unstaggered rings, vortex modes with certain topological charge and hourglass solutions are observed, while the staggered ring solutions are destabilized. In addition, we examined possibility to generate stable propagating solitary modes inside the first mini-gap and found that these mode patterns localize within sites mutually coupled by smaller coupling constant. The last feature is opposite to the nonlinear localized solutions found in the semi-infinite gap.", publisher = "Belgrade : Vinča Institute of Nuclear Sciences", journal = "PHOTONICA2015 : 5th International School and Conference on Photonics and COST actions: MP1204, BM1205 and MP1205 : book of abstracts; August 24-28, 2015; Belgrade", title = "On localized modes in nonlinear binary kagome ribbons", pages = "68", url = "https://hdl.handle.net/21.15107/rcub_vinar_10954" }
Beličev, P., Gligorić, G., Radosavljević, A., Maluckov, A., Stepić, M., Poblete, R. A. V.,& Johansson, M. M.. (2015). On localized modes in nonlinear binary kagome ribbons. in PHOTONICA2015 : 5th International School and Conference on Photonics and COST actions: MP1204, BM1205 and MP1205 : book of abstracts; August 24-28, 2015; Belgrade Belgrade : Vinča Institute of Nuclear Sciences., 68. https://hdl.handle.net/21.15107/rcub_vinar_10954
Beličev P, Gligorić G, Radosavljević A, Maluckov A, Stepić M, Poblete RAV, Johansson MM. On localized modes in nonlinear binary kagome ribbons. in PHOTONICA2015 : 5th International School and Conference on Photonics and COST actions: MP1204, BM1205 and MP1205 : book of abstracts; August 24-28, 2015; Belgrade. 2015;:68. https://hdl.handle.net/21.15107/rcub_vinar_10954 .
Beličev, Petra, Gligorić, Goran, Radosavljević, Ana, Maluckov, Aleksandra, Stepić, Milutin, Poblete, Rodrigo Andres Vicencio, Johansson, Magnus M., "On localized modes in nonlinear binary kagome ribbons" in PHOTONICA2015 : 5th International School and Conference on Photonics and COST actions: MP1204, BM1205 and MP1205 : book of abstracts; August 24-28, 2015; Belgrade (2015):68, https://hdl.handle.net/21.15107/rcub_vinar_10954 .