The resonance Bremsstrahlung of a fast charged particle in a medium

The Bremsstrahlung of the fast charged particle in the medium with dielectric permittivity ε at velocities υ ≥ c/n (n2=Reε) is considered. The Bremsstrahlung has singularity at β = 1/ncosθ (β = υ/c, θ is an angle of the Bremsstrahlung). This Bremsstrahlung is interpreted as resonance Bremsstrahlung with the width characterized by Imε=ε2, and the less ε2 is, the higher the peak of this resonance rises. The angular distribution of the Bremsstrahlung is determined by cos θ=1/nβ and this angle coincides with the angle of the Cherenkov radiation. At β=1/n this resonance Bremsstrahlung goes in the forward direction and depends on frequency ω (ε=ε (ω))