TY  - JOUR
AU  - Simović, Rodoljub D.
AU  - Vukanić, Jovan V.
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4223
AB  - In this paper, the reflection of low-energy light ions from solids is considered within an analytic transport theory. The anisotropy of the collision integral of the ion transport equation is taken into account by means of an appropriate polynomial approximation of the third order in the angular variable. The Laplace transformed transport equation over the path length is treated by the double Legendre polynomial approximation and solved in the lowest order. For power potentials V(R) proportional to R(-1/m), the universal path length and energy distributions, as well as the particle and energy reflection coefficients, are obtained in the form of series expansions. For the special case of the inverse-square law (m = 1/2), reflection functions are derived in a closed analytic form. These results, based on the anisotropic approximation of the collision integral compared with computer simulations and experimental data, appear to be superior to previous theoretical results. (C) 2010 Elsevier Ltd. All rights reserved.
T2  - Radiation Physics and Chemistry
T1  - Reflection coefficients of low-energy light ions for the power form of the interaction potential
VL  - 80
IS  - 3
SP  - 310
EP  - 317
DO  - 10.1016/j.radphyschem.2010.11.003
ER  - 

@article{
author = "Simović, Rodoljub D. and Vukanić, Jovan V.",
year = "2011",
abstract = "In this paper, the reflection of low-energy light ions from solids is considered within an analytic transport theory. The anisotropy of the collision integral of the ion transport equation is taken into account by means of an appropriate polynomial approximation of the third order in the angular variable. The Laplace transformed transport equation over the path length is treated by the double Legendre polynomial approximation and solved in the lowest order. For power potentials V(R) proportional to R(-1/m), the universal path length and energy distributions, as well as the particle and energy reflection coefficients, are obtained in the form of series expansions. For the special case of the inverse-square law (m = 1/2), reflection functions are derived in a closed analytic form. These results, based on the anisotropic approximation of the collision integral compared with computer simulations and experimental data, appear to be superior to previous theoretical results. (C) 2010 Elsevier Ltd. All rights reserved.",
journal = "Radiation Physics and Chemistry",
title = "Reflection coefficients of low-energy light ions for the power form of the interaction potential",
volume = "80",
number = "3",
pages = "310-317",
doi = "10.1016/j.radphyschem.2010.11.003"
}

Simović, R. D.,& Vukanić, J. V.. (2011). Reflection coefficients of low-energy light ions for the power form of the interaction potential. in Radiation Physics and Chemistry, 80(3), 310-317.
https://doi.org/10.1016/j.radphyschem.2010.11.003

Simović RD, Vukanić JV. Reflection coefficients of low-energy light ions for the power form of the interaction potential. in Radiation Physics and Chemistry. 2011;80(3):310-317.
doi:10.1016/j.radphyschem.2010.11.003 .

Simović, Rodoljub D., Vukanić, Jovan V., "Reflection coefficients of low-energy light ions for the power form of the interaction potential" in Radiation Physics and Chemistry, 80, no. 3 (2011):310-317,
https://doi.org/10.1016/j.radphyschem.2010.11.003 . .

TY  - JOUR
AU  - Vukanić, Jovan V.
AU  - Simović, Rodoljub D.
AU  - Ljubenov, Vladan
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4218
AB  - The particle reflection coefficient of light keV ions backscattered from heavy solids as a function of the ion incidence angle has been determined by a suitable interpolation formula. The formula has two fitting parameters which are obtained by using results from two limiting analytic approaches: by the single collision model - in case of nearly perpendicular incidence; and by the small-angle multiple scattering theory - in case of glancing angles of incidence. The obtained interpolation formula is a universal function of the scaled transport cross section and the angle of incidence. Comparison of our calculations with Monte Carlo simulation data and the experimental results of other authors gives good agreement for particle reflection coefficient. (C) 2010 Elsevier B.V. All rights reserved.
T2  - Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms
T1  - Interpolation formula for particle reflection coefficient of keV light ions obliquely incident on heavy solids
VL  - 269
IS  - 2
SP  - 89
EP  - 93
DO  - 10.1016/j.nimb.2010.10.023
ER  - 

@article{
author = "Vukanić, Jovan V. and Simović, Rodoljub D. and Ljubenov, Vladan",
year = "2011",
abstract = "The particle reflection coefficient of light keV ions backscattered from heavy solids as a function of the ion incidence angle has been determined by a suitable interpolation formula. The formula has two fitting parameters which are obtained by using results from two limiting analytic approaches: by the single collision model - in case of nearly perpendicular incidence; and by the small-angle multiple scattering theory - in case of glancing angles of incidence. The obtained interpolation formula is a universal function of the scaled transport cross section and the angle of incidence. Comparison of our calculations with Monte Carlo simulation data and the experimental results of other authors gives good agreement for particle reflection coefficient. (C) 2010 Elsevier B.V. All rights reserved.",
journal = "Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms",
title = "Interpolation formula for particle reflection coefficient of keV light ions obliquely incident on heavy solids",
volume = "269",
number = "2",
pages = "89-93",
doi = "10.1016/j.nimb.2010.10.023"
}

Vukanić, J. V., Simović, R. D.,& Ljubenov, V.. (2011). Interpolation formula for particle reflection coefficient of keV light ions obliquely incident on heavy solids. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 269(2), 89-93.
https://doi.org/10.1016/j.nimb.2010.10.023

Vukanić JV, Simović RD, Ljubenov V. Interpolation formula for particle reflection coefficient of keV light ions obliquely incident on heavy solids. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms. 2011;269(2):89-93.
doi:10.1016/j.nimb.2010.10.023 .

Vukanić, Jovan V., Simović, Rodoljub D., Ljubenov, Vladan, "Interpolation formula for particle reflection coefficient of keV light ions obliquely incident on heavy solids" in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 269, no. 2 (2011):89-93,
https://doi.org/10.1016/j.nimb.2010.10.023 . .

TY  - JOUR
AU  - Vukanić, Jovan V.
AU  - Simović, Rodoljub
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3867
AB  - The particle reflection coefficient of fight keV ions backscattered from heavy targets has been determined by two different analytical approaches: by the single collision model in the case of nearly perpendicular incidence and by the small-angle multiple scattering theory in the case of glancing angles of incidence. The obtained analytical formulae are approximately universal functions of the scaled transport cross-section describing the reflection of all light ions from heavy targets. Going from perpendicular to grazing incidence, the transition from pure single to pure multiple scattering type of reflection is observed. For larger values of the scaling parameter the results of these theories cover the whole region of ion incident angles and the present estimates of the particle reflection coefficient are in good agreement with the results obtained from the empirical formula of Tabata et al.
T2  - Nuclear technology and radiation protection
T1  - Reflection of Kev Light Ions from Solids At Oblique and Grazing Incidence
VL  - 24
IS  - 3
SP  - 188
EP  - 194
DO  - 10.2298/NTRP0903188V
ER  - 

@article{
author = "Vukanić, Jovan V. and Simović, Rodoljub",
year = "2009",
abstract = "The particle reflection coefficient of fight keV ions backscattered from heavy targets has been determined by two different analytical approaches: by the single collision model in the case of nearly perpendicular incidence and by the small-angle multiple scattering theory in the case of glancing angles of incidence. The obtained analytical formulae are approximately universal functions of the scaled transport cross-section describing the reflection of all light ions from heavy targets. Going from perpendicular to grazing incidence, the transition from pure single to pure multiple scattering type of reflection is observed. For larger values of the scaling parameter the results of these theories cover the whole region of ion incident angles and the present estimates of the particle reflection coefficient are in good agreement with the results obtained from the empirical formula of Tabata et al.",
journal = "Nuclear technology and radiation protection",
title = "Reflection of Kev Light Ions from Solids At Oblique and Grazing Incidence",
volume = "24",
number = "3",
pages = "188-194",
doi = "10.2298/NTRP0903188V"
}

Vukanić, J. V.,& Simović, R.. (2009). Reflection of Kev Light Ions from Solids At Oblique and Grazing Incidence. in Nuclear technology and radiation protection, 24(3), 188-194.
https://doi.org/10.2298/NTRP0903188V

Vukanić JV, Simović R. Reflection of Kev Light Ions from Solids At Oblique and Grazing Incidence. in Nuclear technology and radiation protection. 2009;24(3):188-194.
doi:10.2298/NTRP0903188V .

Vukanić, Jovan V., Simović, Rodoljub, "Reflection of Kev Light Ions from Solids At Oblique and Grazing Incidence" in Nuclear technology and radiation protection, 24, no. 3 (2009):188-194,
https://doi.org/10.2298/NTRP0903188V . .

TY  - JOUR
AU  - Davidović, Dragomir A.
AU  - Vukanić, Jovan V.
AU  - Arsenović, Dušan
PY  - 2008
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3370
AB  - The Chandrasekhars H functions play a central role in theoretical descriptions of radiative transfer in planetary and stellar atmospheres. In the present work our aim is to obtain in a simple way new analytic approximations of the Chandrasekhars function for isotropic scattering, which would be sufficiently simple but more accurate than the existing approximations. We apply the mean value theorem for definite integrals in the nonlinear integral equation for the Chandrasekhars H function. In this way the integral equation is formally solved but the solution depends on a new unknown parameter. We determine this parameter approximately, from the condition that the obtained H function matches the zero-order moment of the H function, which is known exactly, as accurately as possible in the whole range of the single particle albedo. The result gives our first analytic approximation for the H function. Using it as a starting approximation in the corresponding integral equation, after only one iteration which may be performed analytically, we obtain our second analytic approximation. The maximum relative error of our first analytic. approximation, which is very simple in structure, is below 2.5%. The accuracy of our second approximation is within 0.07%, so that it highly surpasses the accuracy of the other analytic approximations available in the literature. (c) 2007 Elsevier Inc. All rights reserved.
T2  - Icarus
T1  - Two new analytic approximations of the Chandrasekhars H function for isotropic scattering
VL  - 194
IS  - 1
SP  - 389
EP  - 397
DO  - 10.1016/j.icarus.2007.09.024
ER  - 

@article{
author = "Davidović, Dragomir A. and Vukanić, Jovan V. and Arsenović, Dušan",
year = "2008",
abstract = "The Chandrasekhars H functions play a central role in theoretical descriptions of radiative transfer in planetary and stellar atmospheres. In the present work our aim is to obtain in a simple way new analytic approximations of the Chandrasekhars function for isotropic scattering, which would be sufficiently simple but more accurate than the existing approximations. We apply the mean value theorem for definite integrals in the nonlinear integral equation for the Chandrasekhars H function. In this way the integral equation is formally solved but the solution depends on a new unknown parameter. We determine this parameter approximately, from the condition that the obtained H function matches the zero-order moment of the H function, which is known exactly, as accurately as possible in the whole range of the single particle albedo. The result gives our first analytic approximation for the H function. Using it as a starting approximation in the corresponding integral equation, after only one iteration which may be performed analytically, we obtain our second analytic approximation. The maximum relative error of our first analytic. approximation, which is very simple in structure, is below 2.5%. The accuracy of our second approximation is within 0.07%, so that it highly surpasses the accuracy of the other analytic approximations available in the literature. (c) 2007 Elsevier Inc. All rights reserved.",
journal = "Icarus",
title = "Two new analytic approximations of the Chandrasekhars H function for isotropic scattering",
volume = "194",
number = "1",
pages = "389-397",
doi = "10.1016/j.icarus.2007.09.024"
}

Davidović, D. A., Vukanić, J. V.,& Arsenović, D.. (2008). Two new analytic approximations of the Chandrasekhars H function for isotropic scattering. in Icarus, 194(1), 389-397.
https://doi.org/10.1016/j.icarus.2007.09.024

Davidović DA, Vukanić JV, Arsenović D. Two new analytic approximations of the Chandrasekhars H function for isotropic scattering. in Icarus. 2008;194(1):389-397.
doi:10.1016/j.icarus.2007.09.024 .

Davidović, Dragomir A., Vukanić, Jovan V., Arsenović, Dušan, "Two new analytic approximations of the Chandrasekhars H function for isotropic scattering" in Icarus, 194, no. 1 (2008):389-397,
https://doi.org/10.1016/j.icarus.2007.09.024 . .

TY  - CONF
AU  - Vukanić, Jovan V.
AU  - Davidović, Dragomir M.
PY  - 2008
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6823
AB  - Reflection of electrons from solids is treated by the approximate analytic solution of the linearized transport equation. Scattering of electrons on target atoms is determined by the screened Coulomb interaction and the energy loss due to interaction with target electrons is defined by Bethe-Bloch formula. The anisotropic P(3) approximation of the collision integral is utilized and the Bolzmann transport equation is Laplace transformed in relative path length and solved by applying the DP0 technique. The approach is applicable in a wide range of electron energy -from several tens of keV to several MeV- and for materials where the mean number of collisions of an electron with target atoms during slowing down is large. Analytic expressions for energy distribution of backscattered electrons as well as for the particle and energy reflection coefficients were derived. Comparison of our results with data of the computational bipartition model is presented.
T1  - Backscattering of Fast Electrons from Solids Within a Multiple Collision Model
IS  - 84
SP  - 181
EP  - 184
UR  - https://hdl.handle.net/21.15107/rcub_vinar_6823
ER  - 

@conference{
author = "Vukanić, Jovan V. and Davidović, Dragomir M.",
year = "2008",
abstract = "Reflection of electrons from solids is treated by the approximate analytic solution of the linearized transport equation. Scattering of electrons on target atoms is determined by the screened Coulomb interaction and the energy loss due to interaction with target electrons is defined by Bethe-Bloch formula. The anisotropic P(3) approximation of the collision integral is utilized and the Bolzmann transport equation is Laplace transformed in relative path length and solved by applying the DP0 technique. The approach is applicable in a wide range of electron energy -from several tens of keV to several MeV- and for materials where the mean number of collisions of an electron with target atoms during slowing down is large. Analytic expressions for energy distribution of backscattered electrons as well as for the particle and energy reflection coefficients were derived. Comparison of our results with data of the computational bipartition model is presented.",
title = "Backscattering of Fast Electrons from Solids Within a Multiple Collision Model",
number = "84",
pages = "181-184",
url = "https://hdl.handle.net/21.15107/rcub_vinar_6823"
}

Vukanić, J. V.,& Davidović, D. M.. (2008). Backscattering of Fast Electrons from Solids Within a Multiple Collision Model. (84), 181-184.
https://hdl.handle.net/21.15107/rcub_vinar_6823

Vukanić JV, Davidović DM. Backscattering of Fast Electrons from Solids Within a Multiple Collision Model. 2008;(84):181-184.
https://hdl.handle.net/21.15107/rcub_vinar_6823 .

Vukanić, Jovan V., Davidović, Dragomir M., "Backscattering of Fast Electrons from Solids Within a Multiple Collision Model", no. 84 (2008):181-184,
https://hdl.handle.net/21.15107/rcub_vinar_6823 .

TY  - CONF
AU  - Vukanić, Jovan V.
AU  - Simović, Rodoljub
PY  - 2008
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6824
AB  - The linear Boltzmann transport equation for diffusion and slowing down of low-energy light ions in solids is Laplace transformed in relative path-length and solved by applying the DP0 technique. The ion-target atom interaction potential is assumed to have a form of the inverse-square law and furthermore, the collision integral of the transport equation is replaced by the P-3 approximation in angular variable. The approximative Laplace transformed solution for the reflection function is found and inverted leading to the distribution of backscattered particles in the relative path-length. Analytic expression for the particle reflection coefficient was derived and our result is compared with computer simulation data.
T1  - Inverse-Square Interaction Potential in the Multiple Collision Model of Light Ion Reflection
IS  - 84
SP  - 185
EP  - +
UR  - https://hdl.handle.net/21.15107/rcub_vinar_6824
ER  - 

@conference{
author = "Vukanić, Jovan V. and Simović, Rodoljub",
year = "2008",
abstract = "The linear Boltzmann transport equation for diffusion and slowing down of low-energy light ions in solids is Laplace transformed in relative path-length and solved by applying the DP0 technique. The ion-target atom interaction potential is assumed to have a form of the inverse-square law and furthermore, the collision integral of the transport equation is replaced by the P-3 approximation in angular variable. The approximative Laplace transformed solution for the reflection function is found and inverted leading to the distribution of backscattered particles in the relative path-length. Analytic expression for the particle reflection coefficient was derived and our result is compared with computer simulation data.",
title = "Inverse-Square Interaction Potential in the Multiple Collision Model of Light Ion Reflection",
number = "84",
pages = "185-+",
url = "https://hdl.handle.net/21.15107/rcub_vinar_6824"
}

Vukanić, J. V.,& Simović, R.. (2008). Inverse-Square Interaction Potential in the Multiple Collision Model of Light Ion Reflection. (84), 185-+.
https://hdl.handle.net/21.15107/rcub_vinar_6824

Vukanić JV, Simović R. Inverse-Square Interaction Potential in the Multiple Collision Model of Light Ion Reflection. 2008;(84):185-+.
https://hdl.handle.net/21.15107/rcub_vinar_6824 .

Vukanić, Jovan V., Simović, Rodoljub, "Inverse-Square Interaction Potential in the Multiple Collision Model of Light Ion Reflection", no. 84 (2008):185-+,
https://hdl.handle.net/21.15107/rcub_vinar_6824 .

TY  - CONF
AU  - Davidović, Dragomir
AU  - Vukanić, Jovan
AU  - Arsenović, Dušan
AU  - Stanković, Srboljub
PY  - 2007
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/12262
AB  - Analizirani su uslovi pod kojima se prolazak i refleksija rendgenskih zraka, korišćenih u industriji i medicni, mogu uz visoku tačnost tretirati kao transport čestica koje se mnogostruko rasejavaju, i to izotropno i bez gubitaka energije. Na jednostavan i fizički pregledan način izvedena je integralna jednačina koja opisuje refleksiju za taj slučaj, razjašnjen fizički smisao njenih pojedinih članova, kao i njena rešenja. Navedene su činjenice koje potvrđuju ovakav model transporta.
AB  - Conditions under which the penetration and reflections of Roentgen rays, used in industry and medical physics, can be treated with a high accuracy as a monoenergetic, multiple collision type of particle beam transport with isotropic scattering, are analysed. In a simple an physicaly transparent way the transport equation describing the reflection of Xrays, for this case, has been derived and the physical meaning of the separate terms of the equation have been discussed. The facts which confirm this physical picture are supplied.
PB  - Beograd : Institut za nuklearne nauke "Vinča" : Društvo za zaštitu od zračenja Srbije i Crne Gore
C3  - 24. simpozijum DZZSCG : zbornik radova
T1  - Teorija refleksije rendgenskih zraka korišćenih u industriji i medicini
T1  - A theory of the reflection of roentgen rays used in industry and medical physics
SP  - 239
EP  - 243
UR  - https://hdl.handle.net/21.15107/rcub_vinar_12262
ER  - 

@conference{
author = "Davidović, Dragomir and Vukanić, Jovan and Arsenović, Dušan and Stanković, Srboljub",
year = "2007",
abstract = "Analizirani su uslovi pod kojima se prolazak i refleksija rendgenskih zraka, korišćenih u industriji i medicni, mogu uz visoku tačnost tretirati kao transport čestica koje se mnogostruko rasejavaju, i to izotropno i bez gubitaka energije. Na jednostavan i fizički pregledan način izvedena je integralna jednačina koja opisuje refleksiju za taj slučaj, razjašnjen fizički smisao njenih pojedinih članova, kao i njena rešenja. Navedene su činjenice koje potvrđuju ovakav model transporta., Conditions under which the penetration and reflections of Roentgen rays, used in industry and medical physics, can be treated with a high accuracy as a monoenergetic, multiple collision type of particle beam transport with isotropic scattering, are analysed. In a simple an physicaly transparent way the transport equation describing the reflection of Xrays, for this case, has been derived and the physical meaning of the separate terms of the equation have been discussed. The facts which confirm this physical picture are supplied.",
publisher = "Beograd : Institut za nuklearne nauke "Vinča" : Društvo za zaštitu od zračenja Srbije i Crne Gore",
journal = "24. simpozijum DZZSCG : zbornik radova",
title = "Teorija refleksije rendgenskih zraka korišćenih u industriji i medicini, A theory of the reflection of roentgen rays used in industry and medical physics",
pages = "239-243",
url = "https://hdl.handle.net/21.15107/rcub_vinar_12262"
}

Davidović, D., Vukanić, J., Arsenović, D.,& Stanković, S.. (2007). Teorija refleksije rendgenskih zraka korišćenih u industriji i medicini. in 24. simpozijum DZZSCG : zbornik radova
Beograd : Institut za nuklearne nauke "Vinča" : Društvo za zaštitu od zračenja Srbije i Crne Gore., 239-243.
https://hdl.handle.net/21.15107/rcub_vinar_12262

Davidović D, Vukanić J, Arsenović D, Stanković S. Teorija refleksije rendgenskih zraka korišćenih u industriji i medicini. in 24. simpozijum DZZSCG : zbornik radova. 2007;:239-243.
https://hdl.handle.net/21.15107/rcub_vinar_12262 .

Davidović, Dragomir, Vukanić, Jovan, Arsenović, Dušan, Stanković, Srboljub, "Teorija refleksije rendgenskih zraka korišćenih u industriji i medicini" in 24. simpozijum DZZSCG : zbornik radova (2007):239-243,
https://hdl.handle.net/21.15107/rcub_vinar_12262 .

TY  - CONF
AU  - Vukanić, Jovan V.
AU  - Davidović, Milena D.
AU  - Arsenović, Dušan
AU  - Davidović, Dragomir M.
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6635
AB  - The results obtained in a Monte Carlo simulation of X-ray reflection from water show that for energies up to 20 keV, single and double reflected photons absolutely dominate. Analyzing in detail geometry of the collisions and corresponding energy relations we derive analytically the energy and angular distributions of reflected photons in double collision approximation. The results of the two approaches are compared and discussed. (c) 2006 Elsevier Ltd. All rights reserved.
C3  - Radiation Physics and Chemistry
T1  - Energy distribution of X-rays reflected from a half space in double collision approximation
VL  - 75
IS  - 11
SP  - 1953
EP  - 1955
DO  - 10.1016/j.radphyschem.2005.07.046
ER  - 

@conference{
author = "Vukanić, Jovan V. and Davidović, Milena D. and Arsenović, Dušan and Davidović, Dragomir M.",
year = "2006",
abstract = "The results obtained in a Monte Carlo simulation of X-ray reflection from water show that for energies up to 20 keV, single and double reflected photons absolutely dominate. Analyzing in detail geometry of the collisions and corresponding energy relations we derive analytically the energy and angular distributions of reflected photons in double collision approximation. The results of the two approaches are compared and discussed. (c) 2006 Elsevier Ltd. All rights reserved.",
journal = "Radiation Physics and Chemistry",
title = "Energy distribution of X-rays reflected from a half space in double collision approximation",
volume = "75",
number = "11",
pages = "1953-1955",
doi = "10.1016/j.radphyschem.2005.07.046"
}

Vukanić, J. V., Davidović, M. D., Arsenović, D.,& Davidović, D. M.. (2006). Energy distribution of X-rays reflected from a half space in double collision approximation. in Radiation Physics and Chemistry, 75(11), 1953-1955.
https://doi.org/10.1016/j.radphyschem.2005.07.046

Vukanić JV, Davidović MD, Arsenović D, Davidović DM. Energy distribution of X-rays reflected from a half space in double collision approximation. in Radiation Physics and Chemistry. 2006;75(11):1953-1955.
doi:10.1016/j.radphyschem.2005.07.046 .

Vukanić, Jovan V., Davidović, Milena D., Arsenović, Dušan, Davidović, Dragomir M., "Energy distribution of X-rays reflected from a half space in double collision approximation" in Radiation Physics and Chemistry, 75, no. 11 (2006):1953-1955,
https://doi.org/10.1016/j.radphyschem.2005.07.046 . .

TY  - CONF
AU  - Arsenović, Dušan
AU  - Davidović, Dragomir M.
AU  - Vukanić, Jovan V.
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6634
AB  - A Monte Carlo-based program for treatment of photon transport, restricted to photon energies used in medical diagnostics, is developed. Only the photoabsorption and Compton scattering of photons are taken into account, a justifiable assumption for the energies involved. We can simply separate contributions of reflection events with one, two, three, or more successive collisions of X-rays with electrons of the target. This gives us insights and information about photon transport which otherwise would be inaccessible. (c) 2006 Elsevier Ltd. All rights reserved.
C3  - Radiation Physics and Chemistry
T1  - A simple Monte Carlo program for simulation of X-ray transport
VL  - 75
IS  - 11
SP  - 1727
EP  - 1729
DO  - 10.1016/j.radphyschem.2005.07.031
ER  - 

@conference{
author = "Arsenović, Dušan and Davidović, Dragomir M. and Vukanić, Jovan V.",
year = "2006",
abstract = "A Monte Carlo-based program for treatment of photon transport, restricted to photon energies used in medical diagnostics, is developed. Only the photoabsorption and Compton scattering of photons are taken into account, a justifiable assumption for the energies involved. We can simply separate contributions of reflection events with one, two, three, or more successive collisions of X-rays with electrons of the target. This gives us insights and information about photon transport which otherwise would be inaccessible. (c) 2006 Elsevier Ltd. All rights reserved.",
journal = "Radiation Physics and Chemistry",
title = "A simple Monte Carlo program for simulation of X-ray transport",
volume = "75",
number = "11",
pages = "1727-1729",
doi = "10.1016/j.radphyschem.2005.07.031"
}

Arsenović, D., Davidović, D. M.,& Vukanić, J. V.. (2006). A simple Monte Carlo program for simulation of X-ray transport. in Radiation Physics and Chemistry, 75(11), 1727-1729.
https://doi.org/10.1016/j.radphyschem.2005.07.031

Arsenović D, Davidović DM, Vukanić JV. A simple Monte Carlo program for simulation of X-ray transport. in Radiation Physics and Chemistry. 2006;75(11):1727-1729.
doi:10.1016/j.radphyschem.2005.07.031 .

Arsenović, Dušan, Davidović, Dragomir M., Vukanić, Jovan V., "A simple Monte Carlo program for simulation of X-ray transport" in Radiation Physics and Chemistry, 75, no. 11 (2006):1727-1729,
https://doi.org/10.1016/j.radphyschem.2005.07.031 . .

TY  - JOUR
AU  - Davidović, Dragomir M.
AU  - Vukanić, Jovan V.
AU  - Arsenović, Dušan
PY  - 2004
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2803
AB  - The reflection of x-rays from a semi-infinite water target, for energies ranging from 10 to 60 keV, often used in x-ray diagnostics, is investigated by Monte Carlo simulation. The same process was also treated analytically as the classical albedo problem for isotropic scattering without energy loss. Good agreement of results for the angular distribution of reflected photons of the two approaches is obtained for higher photon energies from the energy range considered. Multiple collision scattering dominates at higher energies, leading to isotropization of the photon distribution. Discrepancies between the isotropic scattering model and Monte Carlo results appear at the lower part of the energy range. Monte Carlo results show that at these energies photon reflection is governed mainly by single collisions and that these discrepancies are caused by anisotropy of the distribution of single backscattered photons. It is shown that the inclusion of the anisotropy of single Compton backscattering in the analytical model greatly improves the agreement with Monte Carlo results.
T2  - Journal of Physics. D: Applied Physics
T1  - Influence of anisotropy of Compton scattering on low energy x-ray reflection
VL  - 37
IS  - 16
SP  - 2314
EP  - 2317
DO  - 10.1088/0022-3727/37/16/014
ER  - 

@article{
author = "Davidović, Dragomir M. and Vukanić, Jovan V. and Arsenović, Dušan",
year = "2004",
abstract = "The reflection of x-rays from a semi-infinite water target, for energies ranging from 10 to 60 keV, often used in x-ray diagnostics, is investigated by Monte Carlo simulation. The same process was also treated analytically as the classical albedo problem for isotropic scattering without energy loss. Good agreement of results for the angular distribution of reflected photons of the two approaches is obtained for higher photon energies from the energy range considered. Multiple collision scattering dominates at higher energies, leading to isotropization of the photon distribution. Discrepancies between the isotropic scattering model and Monte Carlo results appear at the lower part of the energy range. Monte Carlo results show that at these energies photon reflection is governed mainly by single collisions and that these discrepancies are caused by anisotropy of the distribution of single backscattered photons. It is shown that the inclusion of the anisotropy of single Compton backscattering in the analytical model greatly improves the agreement with Monte Carlo results.",
journal = "Journal of Physics. D: Applied Physics",
title = "Influence of anisotropy of Compton scattering on low energy x-ray reflection",
volume = "37",
number = "16",
pages = "2314-2317",
doi = "10.1088/0022-3727/37/16/014"
}

Davidović, D. M., Vukanić, J. V.,& Arsenović, D.. (2004). Influence of anisotropy of Compton scattering on low energy x-ray reflection. in Journal of Physics. D: Applied Physics, 37(16), 2314-2317.
https://doi.org/10.1088/0022-3727/37/16/014

Davidović DM, Vukanić JV, Arsenović D. Influence of anisotropy of Compton scattering on low energy x-ray reflection. in Journal of Physics. D: Applied Physics. 2004;37(16):2314-2317.
doi:10.1088/0022-3727/37/16/014 .

Davidović, Dragomir M., Vukanić, Jovan V., Arsenović, Dušan, "Influence of anisotropy of Compton scattering on low energy x-ray reflection" in Journal of Physics. D: Applied Physics, 37, no. 16 (2004):2314-2317,
https://doi.org/10.1088/0022-3727/37/16/014 . .

TY  - JOUR
AU  - Vukanić, Jovan V.
AU  - Simović, Rodoljub
PY  - 2004
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2708
AB  - Light ion reflection from solids in the keV energy region has been studied within the single collision model. Particle and energy reflection coefficients as functions of the scaled transport cross section have been calculated numerically by utilizing the exact scattering function for the Kr-C potential and analytically with an effective power approximation for the same potential. The obtained analytical formulae approximate very accurately to the numerical results. Comparison of the calculated reflection coefficients with the experimental data and computer simulations for different light ion-heavy target combinations shows that the scaled transport cross section remains a convenient scaling parameter in the single collision domain, as adopted previously in multiple collision theory. (C) 2003 Elsevier B.V. All rights reserved.
T2  - Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms
T1  - Scaling properties in single collision model of light ion reflection
VL  - 215
IS  - 3-4
SP  - 337
EP  - 344
DO  - 10.1016/j.nimb.2003.07.003
ER  - 

@article{
author = "Vukanić, Jovan V. and Simović, Rodoljub",
year = "2004",
abstract = "Light ion reflection from solids in the keV energy region has been studied within the single collision model. Particle and energy reflection coefficients as functions of the scaled transport cross section have been calculated numerically by utilizing the exact scattering function for the Kr-C potential and analytically with an effective power approximation for the same potential. The obtained analytical formulae approximate very accurately to the numerical results. Comparison of the calculated reflection coefficients with the experimental data and computer simulations for different light ion-heavy target combinations shows that the scaled transport cross section remains a convenient scaling parameter in the single collision domain, as adopted previously in multiple collision theory. (C) 2003 Elsevier B.V. All rights reserved.",
journal = "Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms",
title = "Scaling properties in single collision model of light ion reflection",
volume = "215",
number = "3-4",
pages = "337-344",
doi = "10.1016/j.nimb.2003.07.003"
}

Vukanić, J. V.,& Simović, R.. (2004). Scaling properties in single collision model of light ion reflection. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 215(3-4), 337-344.
https://doi.org/10.1016/j.nimb.2003.07.003

Vukanić JV, Simović R. Scaling properties in single collision model of light ion reflection. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms. 2004;215(3-4):337-344.
doi:10.1016/j.nimb.2003.07.003 .

Vukanić, Jovan V., Simović, Rodoljub, "Scaling properties in single collision model of light ion reflection" in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 215, no. 3-4 (2004):337-344,
https://doi.org/10.1016/j.nimb.2003.07.003 . .

TY  - JOUR
AU  - Davidović, Dragomir M.
AU  - Vukanić, Jovan V.
AU  - Arsenović, Dušan
PY  - 2003
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2659
AB  - The reflection of x-rays from a half space is studied within the framework of a model that assumes multiple isotropic scattering of photons without energy loss. An exactly solvable analytical expression for the angular distribution of reflected photons is derived. The range of validity of the model was determined by the Monte Carlo simulation thereby incorporating energy loss and angular dependences. For water as a scatterer, in the energy range from 10 to 60 keV, which is often used in x-ray diagnostics, the two approaches differ by at most 5%. The analytic results, confirmed by the Monte Carlo simulation, show that the angular distribution of reflected photons for energies greater than 30 keV-where multiple scattering events dominate-may be represented by a cosine law, within a few per cent of accuracy.
T2  - Physics in Medicine and Biology
T1  - Simplified model of low energy x-ray backscattering
VL  - 48
IS  - 15
SP  - N213
EP  - N221
DO  - 10.1088/0031-9155/48/15/402
ER  - 

@article{
author = "Davidović, Dragomir M. and Vukanić, Jovan V. and Arsenović, Dušan",
year = "2003",
abstract = "The reflection of x-rays from a half space is studied within the framework of a model that assumes multiple isotropic scattering of photons without energy loss. An exactly solvable analytical expression for the angular distribution of reflected photons is derived. The range of validity of the model was determined by the Monte Carlo simulation thereby incorporating energy loss and angular dependences. For water as a scatterer, in the energy range from 10 to 60 keV, which is often used in x-ray diagnostics, the two approaches differ by at most 5%. The analytic results, confirmed by the Monte Carlo simulation, show that the angular distribution of reflected photons for energies greater than 30 keV-where multiple scattering events dominate-may be represented by a cosine law, within a few per cent of accuracy.",
journal = "Physics in Medicine and Biology",
title = "Simplified model of low energy x-ray backscattering",
volume = "48",
number = "15",
pages = "N213-N221",
doi = "10.1088/0031-9155/48/15/402"
}

Davidović, D. M., Vukanić, J. V.,& Arsenović, D.. (2003). Simplified model of low energy x-ray backscattering. in Physics in Medicine and Biology, 48(15), N213-N221.
https://doi.org/10.1088/0031-9155/48/15/402

Davidović DM, Vukanić JV, Arsenović D. Simplified model of low energy x-ray backscattering. in Physics in Medicine and Biology. 2003;48(15):N213-N221.
doi:10.1088/0031-9155/48/15/402 .

Davidović, Dragomir M., Vukanić, Jovan V., Arsenović, Dušan, "Simplified model of low energy x-ray backscattering" in Physics in Medicine and Biology, 48, no. 15 (2003):N213-N221,
https://doi.org/10.1088/0031-9155/48/15/402 . .

TY  - CONF
AU  - Davidović, Dragomir M.
AU  - Vukanić, Jovan V.
AU  - Arsenović, Dušan
PY  - 2002
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6397
AB  - Without greater investments, the improvement of radiation protection and decrease of irradiation of medical workers as well as patients in X-ray diagnostics, may be achieved only by getting first a deeper insight into X-ray transport and reflection in human body like tissues at energies used in X-ray diagnostics. It is shown that at these energies, with high accuracy, the X-ray transport and reflection may be treated as a classical monoenergetic particle transport with isotropic scattering. This situation allows the analytical treatment, what may have practical implications.
T1  - The character of reflection and transmission of xrays at energies used in radiological diagnostics
SP  - 289
EP  - 292
UR  - https://hdl.handle.net/21.15107/rcub_vinar_6397
ER  - 

@conference{
author = "Davidović, Dragomir M. and Vukanić, Jovan V. and Arsenović, Dušan",
year = "2002",
abstract = "Without greater investments, the improvement of radiation protection and decrease of irradiation of medical workers as well as patients in X-ray diagnostics, may be achieved only by getting first a deeper insight into X-ray transport and reflection in human body like tissues at energies used in X-ray diagnostics. It is shown that at these energies, with high accuracy, the X-ray transport and reflection may be treated as a classical monoenergetic particle transport with isotropic scattering. This situation allows the analytical treatment, what may have practical implications.",
title = "The character of reflection and transmission of xrays at energies used in radiological diagnostics",
pages = "289-292",
url = "https://hdl.handle.net/21.15107/rcub_vinar_6397"
}

Davidović, D. M., Vukanić, J. V.,& Arsenović, D.. (2002). The character of reflection and transmission of xrays at energies used in radiological diagnostics. , 289-292.
https://hdl.handle.net/21.15107/rcub_vinar_6397

Davidović DM, Vukanić JV, Arsenović D. The character of reflection and transmission of xrays at energies used in radiological diagnostics. 2002;:289-292.
https://hdl.handle.net/21.15107/rcub_vinar_6397 .

Davidović, Dragomir M., Vukanić, Jovan V., Arsenović, Dušan, "The character of reflection and transmission of xrays at energies used in radiological diagnostics" (2002):289-292,
https://hdl.handle.net/21.15107/rcub_vinar_6397 .

TY  - JOUR
AU  - Vukanić, Jovan V.
AU  - Simović, Rodoljub
PY  - 2001
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2460
AB  - The linear Boltzmann transport equation for diffusion and slowing down of low-energy light ions in solids is Laplace-transformed in relative path-length and solved by applying the DP0 technique. The ion-target atom interaction potential is assumed to have a form of the inverse-square law and furthermore, the collision integral of the transport equation is replaced by the P-3 approximation in angular variable. The approximative Laplace-transformed solution for the reflection function is found and inverted leading to the distribution of backscattered particles in the relative pathlength. Analytic expressions for the particle and energy reflection coefficients were derived and our results are compared with a large number of computer simulation data. (C) 2001 Elsevier Science B.V. All rights reserved.
T2  - Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms
T1  - Reflection coefficients of light ions for the inverse-square interaction potential
VL  - 179
IS  - 4
SP  - 497
EP  - 502
DO  - 10.1016/S0168-583X(01)00607-3
ER  - 

@article{
author = "Vukanić, Jovan V. and Simović, Rodoljub",
year = "2001",
abstract = "The linear Boltzmann transport equation for diffusion and slowing down of low-energy light ions in solids is Laplace-transformed in relative path-length and solved by applying the DP0 technique. The ion-target atom interaction potential is assumed to have a form of the inverse-square law and furthermore, the collision integral of the transport equation is replaced by the P-3 approximation in angular variable. The approximative Laplace-transformed solution for the reflection function is found and inverted leading to the distribution of backscattered particles in the relative pathlength. Analytic expressions for the particle and energy reflection coefficients were derived and our results are compared with a large number of computer simulation data. (C) 2001 Elsevier Science B.V. All rights reserved.",
journal = "Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms",
title = "Reflection coefficients of light ions for the inverse-square interaction potential",
volume = "179",
number = "4",
pages = "497-502",
doi = "10.1016/S0168-583X(01)00607-3"
}

Vukanić, J. V.,& Simović, R.. (2001). Reflection coefficients of light ions for the inverse-square interaction potential. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 179(4), 497-502.
https://doi.org/10.1016/S0168-583X(01)00607-3

Vukanić JV, Simović R. Reflection coefficients of light ions for the inverse-square interaction potential. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms. 2001;179(4):497-502.
doi:10.1016/S0168-583X(01)00607-3 .

Vukanić, Jovan V., Simović, Rodoljub, "Reflection coefficients of light ions for the inverse-square interaction potential" in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 179, no. 4 (2001):497-502,
https://doi.org/10.1016/S0168-583X(01)00607-3 . .

TY  - JOUR
AU  - Vukanić, Jovan V.
AU  - Hadžievski, Ljupčo
PY  - 2000
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2367
AB  - Multiple collision theory of heavy ion ranges in an infinite medium has been used to calculate the reflection coefficient from the penetration profile, by a method first described by Bottiger et al. Interaction with target electrons has been neglected and nuclear collisions have been described by the power cross sections. Calculations are restricted to low reduced ion energies epsilon(0) less than or equal to 0.1 and to target/ion mass ratios mu less than or equal to 10, when electronic stopping is much less than the nuclear stopping. The Gaussian approximation of the pen -tration profile and the reflection coefficient are found in a form of simple analytic formulas. Furthermore, the penetration profile was constructed by using Edgeworth expansion and moments of the distribution up to the fourth order, and the reflection coefficient was determined from the profile. Good agreement between the analytical results and the reflection coefficient obtained from Edgeworth expansion was found, for target atom/ion mass ratios mu greater than or equal to 1.3. It is shown that the reflection coefficient is a universal function of the scaled transport cross section. The scaling is fulfilled for upsilon greater than or equal to 2, when ion reflection is determined by large-angle multiple collisions, and breaks down for upsilon LT 1 i.e. mu LT 1, when scattering angles are small. Results are compared with TRIM computer simulation data. PACS: 79.20. Rf.
T2  - Applied Physics. A: Materials Science and Processing
T1  - Reflection coefficient of low-energy ions as a universal function of the scaled transport cross section
VL  - 71
IS  - 1
SP  - 95
EP  - 99
UR  - https://hdl.handle.net/21.15107/rcub_vinar_2367
ER  - 

@article{
author = "Vukanić, Jovan V. and Hadžievski, Ljupčo",
year = "2000",
abstract = "Multiple collision theory of heavy ion ranges in an infinite medium has been used to calculate the reflection coefficient from the penetration profile, by a method first described by Bottiger et al. Interaction with target electrons has been neglected and nuclear collisions have been described by the power cross sections. Calculations are restricted to low reduced ion energies epsilon(0) less than or equal to 0.1 and to target/ion mass ratios mu less than or equal to 10, when electronic stopping is much less than the nuclear stopping. The Gaussian approximation of the pen -tration profile and the reflection coefficient are found in a form of simple analytic formulas. Furthermore, the penetration profile was constructed by using Edgeworth expansion and moments of the distribution up to the fourth order, and the reflection coefficient was determined from the profile. Good agreement between the analytical results and the reflection coefficient obtained from Edgeworth expansion was found, for target atom/ion mass ratios mu greater than or equal to 1.3. It is shown that the reflection coefficient is a universal function of the scaled transport cross section. The scaling is fulfilled for upsilon greater than or equal to 2, when ion reflection is determined by large-angle multiple collisions, and breaks down for upsilon LT 1 i.e. mu LT 1, when scattering angles are small. Results are compared with TRIM computer simulation data. PACS: 79.20. Rf.",
journal = "Applied Physics. A: Materials Science and Processing",
title = "Reflection coefficient of low-energy ions as a universal function of the scaled transport cross section",
volume = "71",
number = "1",
pages = "95-99",
url = "https://hdl.handle.net/21.15107/rcub_vinar_2367"
}

Vukanić, J. V.,& Hadžievski, L.. (2000). Reflection coefficient of low-energy ions as a universal function of the scaled transport cross section. in Applied Physics. A: Materials Science and Processing, 71(1), 95-99.
https://hdl.handle.net/21.15107/rcub_vinar_2367

Vukanić JV, Hadžievski L. Reflection coefficient of low-energy ions as a universal function of the scaled transport cross section. in Applied Physics. A: Materials Science and Processing. 2000;71(1):95-99.
https://hdl.handle.net/21.15107/rcub_vinar_2367 .

Vukanić, Jovan V., Hadžievski, Ljupčo, "Reflection coefficient of low-energy ions as a universal function of the scaled transport cross section" in Applied Physics. A: Materials Science and Processing, 71, no. 1 (2000):95-99,
https://hdl.handle.net/21.15107/rcub_vinar_2367 .

TY  - JOUR
AU  - Simović, Rodoljub
AU  - Vukanić, Jovan V.
PY  - 1999
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2208
AB  - Three approximate analytic expressions for the H-function are derived by using ordinary and flux decomposition DPN method. The accuracy of approximations is examined and comparison with similar formulas of the other authors is performed. As an application of the approximate H-functions the energy-dependent particle albedo problem is treated analytically. (C) 1998 Published by Elsevier Science Ltd. All rights reserved.
T2  - Journal of Quantitative Spectroscopy and Radiative Transfer
T1  - Analytic approximations of the H-function based on different DPN procedures
VL  - 61
IS  - 1
SP  - 59
EP  - 71
DO  - 10.1016/S0022-4073(97)00199-4
ER  - 

@article{
author = "Simović, Rodoljub and Vukanić, Jovan V.",
year = "1999",
abstract = "Three approximate analytic expressions for the H-function are derived by using ordinary and flux decomposition DPN method. The accuracy of approximations is examined and comparison with similar formulas of the other authors is performed. As an application of the approximate H-functions the energy-dependent particle albedo problem is treated analytically. (C) 1998 Published by Elsevier Science Ltd. All rights reserved.",
journal = "Journal of Quantitative Spectroscopy and Radiative Transfer",
title = "Analytic approximations of the H-function based on different DPN procedures",
volume = "61",
number = "1",
pages = "59-71",
doi = "10.1016/S0022-4073(97)00199-4"
}

Simović, R.,& Vukanić, J. V.. (1999). Analytic approximations of the H-function based on different DPN procedures. in Journal of Quantitative Spectroscopy and Radiative Transfer, 61(1), 59-71.
https://doi.org/10.1016/S0022-4073(97)00199-4

Simović R, Vukanić JV. Analytic approximations of the H-function based on different DPN procedures. in Journal of Quantitative Spectroscopy and Radiative Transfer. 1999;61(1):59-71.
doi:10.1016/S0022-4073(97)00199-4 .

Simović, Rodoljub, Vukanić, Jovan V., "Analytic approximations of the H-function based on different DPN procedures" in Journal of Quantitative Spectroscopy and Radiative Transfer, 61, no. 1 (1999):59-71,
https://doi.org/10.1016/S0022-4073(97)00199-4 . .

TY  - JOUR
AU  - Simović, Rodoljub
AU  - Vukanić, Jovan V.
PY  - 1997
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2085
AB  - The energy dependent albedo problem of low-energy light ions from heavy targets is considered in a multiple-collision model. The ion transport equation is treated with the assumptions that (i) the distribution function is almost isotropic and (ii) the transport cross section depends only on initial ion energy. The transport equation is Laplace transformed in relative path length and solved by applying the DP0 flux approximation in angle, Reflected energy spectra, particle and energy reflection coefficients are analytically derived. A comparison of DP0 results with age theory, computer simulation data and experimental results is made.
T2  - Journal of Physics. D: Applied Physics
T1  - The albedo problem of low-energy light ions treated analytically in the DP0 flux approximation
VL  - 30
IS  - 16
SP  - 2331
EP  - 2337
DO  - 10.1088/0022-3727/30/16/011
ER  - 

@article{
author = "Simović, Rodoljub and Vukanić, Jovan V.",
year = "1997",
abstract = "The energy dependent albedo problem of low-energy light ions from heavy targets is considered in a multiple-collision model. The ion transport equation is treated with the assumptions that (i) the distribution function is almost isotropic and (ii) the transport cross section depends only on initial ion energy. The transport equation is Laplace transformed in relative path length and solved by applying the DP0 flux approximation in angle, Reflected energy spectra, particle and energy reflection coefficients are analytically derived. A comparison of DP0 results with age theory, computer simulation data and experimental results is made.",
journal = "Journal of Physics. D: Applied Physics",
title = "The albedo problem of low-energy light ions treated analytically in the DP0 flux approximation",
volume = "30",
number = "16",
pages = "2331-2337",
doi = "10.1088/0022-3727/30/16/011"
}

Simović, R.,& Vukanić, J. V.. (1997). The albedo problem of low-energy light ions treated analytically in the DP0 flux approximation. in Journal of Physics. D: Applied Physics, 30(16), 2331-2337.
https://doi.org/10.1088/0022-3727/30/16/011

Simović R, Vukanić JV. The albedo problem of low-energy light ions treated analytically in the DP0 flux approximation. in Journal of Physics. D: Applied Physics. 1997;30(16):2331-2337.
doi:10.1088/0022-3727/30/16/011 .

Simović, Rodoljub, Vukanić, Jovan V., "The albedo problem of low-energy light ions treated analytically in the DP0 flux approximation" in Journal of Physics. D: Applied Physics, 30, no. 16 (1997):2331-2337,
https://doi.org/10.1088/0022-3727/30/16/011 . .

TY  - JOUR
AU  - Vukanić, Jovan V.
AU  - Simović, Rodoljub
PY  - 1996
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2034
AB  - Reflection of light ions from solids have been calculated in the low-energy region where large-angle multiple collisions dominate. Backscattering parameters are obtained as a solution of the Boltzmann equation in the transport approximation. The Laplace transformed equation, which has the form of a one-group transport equation for isotropic scattering, has been solved by using an accurate analytical approximation of Chandrasekhars H-function. Universal curves as well as analytical results are presented for reflected energy spectra integrated over all ejection angles, particle and energy reflection coefficients, and total angular distribution of backscattered ions. Calculations have been done for different angles of incidence. For normal ion incidence and primary energies higher than 100 eV, the agreement between analytical theory and computer simulation data is satisfactory.
T2  - Fusion Science and Technology
T1  - Analytical solutions of the Boltzmann transport equation for light ion reflection
VL  - 30
IS  - 3
SP  - 372
EP  - 382
DO  - 10.13182/FST96-A30740
ER  - 

@article{
author = "Vukanić, Jovan V. and Simović, Rodoljub",
year = "1996",
abstract = "Reflection of light ions from solids have been calculated in the low-energy region where large-angle multiple collisions dominate. Backscattering parameters are obtained as a solution of the Boltzmann equation in the transport approximation. The Laplace transformed equation, which has the form of a one-group transport equation for isotropic scattering, has been solved by using an accurate analytical approximation of Chandrasekhars H-function. Universal curves as well as analytical results are presented for reflected energy spectra integrated over all ejection angles, particle and energy reflection coefficients, and total angular distribution of backscattered ions. Calculations have been done for different angles of incidence. For normal ion incidence and primary energies higher than 100 eV, the agreement between analytical theory and computer simulation data is satisfactory.",
journal = "Fusion Science and Technology",
title = "Analytical solutions of the Boltzmann transport equation for light ion reflection",
volume = "30",
number = "3",
pages = "372-382",
doi = "10.13182/FST96-A30740"
}

Vukanić, J. V.,& Simović, R.. (1996). Analytical solutions of the Boltzmann transport equation for light ion reflection. in Fusion Science and Technology, 30(3), 372-382.
https://doi.org/10.13182/FST96-A30740

Vukanić JV, Simović R. Analytical solutions of the Boltzmann transport equation for light ion reflection. in Fusion Science and Technology. 1996;30(3):372-382.
doi:10.13182/FST96-A30740 .

Vukanić, Jovan V., Simović, Rodoljub, "Analytical solutions of the Boltzmann transport equation for light ion reflection" in Fusion Science and Technology, 30, no. 3 (1996):372-382,
https://doi.org/10.13182/FST96-A30740 . .