Nonstationary electromagnetic Gaussian beams in nonhomogeneous anysotropic media

In the paper nonstationary Gaussian beams of the quasiphoton type for the Maxwell equation with general anysotropy have been constructed. The solutions of the Maxwell equations can be described as ray type solutions with complex phases and amplitudes. Due to the large parameter $p$ they concentrated in small neighbourhoods of the space-time rays corresponding to different types of electromagnetic waves in the anysotropic medium.