On Dispersion Properties of Electromagnetic Waves in Unsteady-State Inhomogeneous Media

Abstract

Let us proceed from stochastic wave equation of electric Under random unsteadiness of medium with weak spatial dispersion, on the basis of Dyson equation in Bourret approximation, dispersion relation is obtained connecting frequency and wave constant of electromagnetic radiation coherent wave with characteristic parameters of turbulent medium. Proceeding from the expression for effective refractive and absorption indices for Gaussian and Lane models, it has been shown that in both cases coherent waves attenuate on small-scale fluctuations of dielectric permittivity of inhomogeneous medium. * When considering the pulses in unsteady-state media, pole tracing L(k, w) = 0 must be carried out with causality principle taken into account.

On wave Excitation of Harmonic Oscillators with Randomly Varying Frequency in Inhomogeneous Non-Stationary Media

“…Assuming that the density of dipole-oscillators No is constant and having established the polarization vector p (dipole moment in the unity volume) as ~( r , t ) = e,No [S+(r, t ) -S-(r, 01 (3) taking into account (2) we'll get from (1):…”