Radiation Losses of the Relativistic Charge Moving Near a Dielectric Radiator

Abstract

The radiation losses of a relativistic charge moving in vacuum near a dielectric radiator in which Vavilov – Cherenkov radiation is generated are estimated. For a charge moving near the flat surface of an infinite radiator (along the charge path), the radiation losses are calculated based on the existing theory. For a finite radiator of length L along the charge trajectory (that is, for the radiator with input and output planar faces perpendicular to the charge propagation path that give rise the edge effects), we have developed a model for calculating the radiation characteristics by the polarization current method. For this model, the radiation losses are calculated, and it is shown that with allowance for the edge effects, the losses in the finite radiator on Vavilov–Cherenkov radiation are higher by 2–3 orders of magnitude compared to the losses of the infinite radiator.