On the energy flux of stationary electromagnetic waves in anisotropic dissipative media with spatial dispersion

The special features of the propagation of electromagnetic wave in gyrotropic medium with dispersion and resonant dissipation (specifically, in a magnetoactive plasma) are studied. Even though the anti-Hermitian components of the permittivity tensor are substantial in magnitude, weakly damped waves can exist in such media. However, the well-known phenomenological expression for the energy flux of waves in a medium with spatial dispersion is inapplicable for them. A theory extending this expression to the case studied is developed. The modified expression for the energy flux is used to construct the Hamiltonian for the ray optics of such media.