The Theory of Čerenkov Effect Based on Lorentz Transformations

Abstract

The method of calculating rf excitation by the Čerenkov effect using Lorentz transformations, first used by Nag and Sayied in the case of a single electron and an infinite dielectric medium, was extended to a modulated electron beam in the presence of a finite dielectric boundary. A relation between the Čerenkov effect and Roentgen surface current was pointed out.

Influence of Source Symmetry on Čerenkov Radiation

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“…Let the radius a of the channel approach zero, then the potential of the nth harmonic is (4) for r>b, where !=kb. Let the radius a of the channel approach zero, then the potential of the nth harmonic is (4) for r>b, where !=kb.…”

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