The theory of transient radiation of a charged particle in a waveguide with an anisotropic magnetodielectric filling

Abstract

We have considered transient radiation of a charged particle that moves at a constant velocity perpendicularly to the axis of a regular waveguide filled with an anisotropic magnetodielectric medium. Wave equations and analytical expressions for transverse electric (ТЕ) and transverse magnetic (ТМ) fields in the waveguide have been found. Energies of transient radiation of the particle moving in a rectangular waveguide have been determined. We have obtained conditions of occurrence, the frequency, and the energy of Vavilov-Cherenkov radiation.

Transition Radiation of Charged Particle in the Modulated Anisotropic Magnetodielectric Filling of the Waveguide

“…x (0 ≤ x ≤ a) in the expressions for B n and B n (see (14) and (15)), taking into account that the eigenfunctions ψ n (x, y) , ψ n (x, y) and eigenvalues λ n , λ n are expressed by the formulas (18) and (19) from [1], for S TE n,m and S TM n,m we get…”

“…1 and m µ 1 are the small indexes of modulation, k 0 is the wave number of modulation wave. As is known, the charge density and the current density in this case are described using Dirac δ function and have the form [1,5] ρ…”

“…(3) The transverse-electric (TE) and transverse-magnetic (TM) fields in the waveguide, as in our previous works [1][2][3][4][5][6], we shall describe by means of longitudinal components of the magnetic vector H z (x, y, z, t) and of the electric vector E z (x, y, z, t). The wave equations for H ωz = µ 2 (z) H ωz andẼ ωz = ε 2 (z) E ωz can be obtained from Maxwell equations taking into account Eq.…”

“…In [1] the problem of transition radiation of charged particle, moving perpendicular to the axis of the waveguide with anisotropic magnetodielectric filling was solved. In this work the similar problem in the case, when the anisotropic magnitodielectric filling of the waveguide is modulated in space by a periodic law, is considered.…”

The Effect of a Monatomic Layer on a Surface on the Transition Radiation

“…After some decline in recent years, there has been a revival in the study of various aspects of transient radiation. Among these works it is possible to note following works [16]- [21]. It should be noted that in the works of Ryazanov and Tishchenko [14] and Sukharev et al [20], some aspects of the generation of transient radiation from a monomolecular film and a graphene monolayer have already been considered.…”