Abstract
The process of transition radiation of relativistic electrons in non-uniform media is considered. The method of description of this process based on the equivalent photons method and the eikonal approximation of the wave mechanics is proposed. The formulae for the spectral-angular density of the transition radiation that permit to examine the radiation in the case when the dielectric permittivity depends on more than one coordinate are obtained in this approximation. The comparison of the basic results obtained in Born and eikonal approximations of the transition radiation theory is carried out. The ranges of validity of these results are determined. The formulae obtained are applied to the analysis of the transition radiation process on the uniform plate and on the fiber-like target.
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REFERENCES
V. L. Ginzburg and V. N. Tsytovich, Transition Radiation and Transition Scattering (Bristol, New York: A. Hilger, 1990).
M. L. Ter-Mikaelyan, High-Energy Electromagnetic Processes in Condensed Media (Wiley, New York, 1972).
G. M. Garibian, C. Yang, X-ray Transition Radiation (Publ. Acad. of Science of Armenia, Yerevan, 1983 (in Russian)).
N. F. Shul’ga and S. N. Dobrovol’ skii, JETP 90 (2000) 579.
A. I. Akhiezer and N. F. Shul’ga, High-Energy Electrodynamics in Matter (Gordon and Breach, Amsterdam, 1996).
L. D. Landau, E. M. Lifshitz, The Classical Theory of Fields (Pergamon, 1972).
N. F. Shul’ga and V. V. Syshchenko, Nucl. Instr. and Methods B, 201 (2003) 78.
N. F. Shul’ga and V. V. Syshchenko, Phys. Lett. A 313 (2003) 307.
A. I. Alikhanyan and V. A. Chechin, Proc. P. N. Lebedev Phys. Inst., 140 (1982)146 (in Russian).
J. D. Jackson, Classical Electrodynamics (John Wiley & Sons, New York, 1998).
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Shul’ga, N., Syshchenko, V. (2006). TRANSITION RADIATION BY RELATIVISTIC ELECTRONS IN INHOMOGENEOUS SUBSTANCE. In: Wiedemann, H. (eds) Advanced Radiation Sources and Applications. NATO Science Series II: Mathematics, Physics and Chemistry, vol 199. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3450-4_11
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DOI: https://doi.org/10.1007/1-4020-3450-4_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3448-0
Online ISBN: 978-1-4020-3450-3
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