Asymptotic Formulas in the Theory of Diffraction and Transition Radiation on a Conducting Sphere


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The diffraction and transition radiation of a nonrelativistic charged particle on a perfectly conducting sphere is described using the method of image charges known from electrostatics. Asymptotic formulas that describe the characteristics of the radiation in the low- and high-frequency regions are constructed. It is shown that this approach in the high-frequency limit can be extended to the case of a relativistic incident particle.

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V. Syshchenko

Belgorod State National Research University

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Email: syshch@yandex.ru
俄罗斯联邦, Belgorod, 308015

E. Larikova

Belgorod State National Research University

Email: syshch@yandex.ru
俄罗斯联邦, Belgorod, 308015

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