Radiative instability of a relativistic electron beam moving in a photonic crystal

Abstract

The radiative instability of a beam moving in a photonic crystal of finite dimensions is studied. The dispersion equation is obtained. The law $\Gamma \sim {\rho }^{1/\left(s+3\right)}$ is shown to be valid and caused by the mixing of the electromagnetic field modes in the finite volume due to the periodic disturbance from the photonic crystal.

15 pages, Latex