Dielectric properties of a collisionless magnetoactive plasma with a power-law spectrum of random inhomogeneities

Abstract

The dielectric properties of a randomly inhomogeneous magnetoactive plasma are investigated in the present study under conditions of extraordinary wave resonance. The electron concentration inhomogeneities are characterized by a spatial spectrum of the form r ~ (p2 + km2)-2 exp (-p2s where k m = 2~/L, with s and L being the minimum and maximum inhomogeneity scales. For s << L the spectrum has a power-law shape over a wide range of wave numbers. Taking into account spatial dispersion, the anti-Hermitian components of the effective dielectric permittivity are calculated.