Analytical solutions of the Boltzmann transport equation for light ion reflection
Apstrakt
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.
Ključne reči:
light ions / reflection coefficients / multiple collision modelIzvor:
Fusion Science and Technology, 1996, 30, 3, 372-382
DOI: 10.13182/FST96-A30740
ISSN: 0748-1896
WoS: A1996VX17200009
Scopus: 2-s2.0-0030398994
Kolekcije
Institucija/grupa
VinčaTY - 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 . .