** Authors:**
KHAMIDBI M. BESHTOEV

** Abstract: **
The bremsstrahlung of a fast charged particle in the medium with dielectric
permittivity \epsilon at velocities v \ge \frac{c}{n} (\mbox{Re}\epsilon =
n^2) was considered. Bremsstrahlung radiation has singularity at \beta =
\frac{1}{n \cos\theta} (\beta = \frac{v}{c}, \theta is an angle of the
bremsstrahlung.) and is interpreted as resonance
bremsstrahlung with the width characterized by Im\epsilon = \epsilon_2; and
smaller \epsilon_2 is, the higher the peak of the resonance.
The angle
distribution of the bremsstrahlung is determined by \cos \theta =
\frac{1}{n\beta} and \theta coincides with the angle of Cherenkov
radiation. At \beta = \frac{1}{n} the resonance bremsstrahlung goes in
the forward direction. The resonance bremsstrahlung depends on frequency
\omega (\epsilon \equiv \epsilon(\omega)).

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