cherenkov radiation in uniaxial and biaxial anisotropic media

A quantum mechanic approach is presented for cherenkov radiation of a moving atom in uniaxial and biaxial anisotropic medium. a moving particle in a medium emits cherenkov radiation when its speed is larger than the phase velocity of light in the medium. the electromagnetic eld is quantized in the anisotropic media, using maxwell and related constitute equations, phenomenologically. the cherenkov radiation for a moving charged particle in the anisotropic medium with arbitrary real permittivity tensor is obtained. the dielectric structure can be changed the cherenkov radiation. for uniaxial media, we give a close form of the cherenkov radiation for arbitrary dipole alignment. in this manner, the cherenkove radiation of the biaxial media is calculated. it is shown that cherenkov radiation in an isotropic medium can be obtained from the form of an anisotropic medium.