Propagation of Electromagnetic and Electroacoustic Waves through Compressible Fully Ionized Warm Plasma with Collisions and with an External Steady Magnetic Field

Abstract

The equations of unified approach for the two-component isotropic plasma have been extended to cover the case with collisions and with an external uniform steady magnetic field in the direction of propagation. An effective relative permittivity tensor for such a plasma has been derived. For the electromagnetic parts of the fields, the expressions for the attenuation constant and the phase constant of the ware have been obtained, the latter giving the dispersion relation. When we omit either collisions or magnetic field or both, the results obtained from these expressions agree with the results of these special cases existing in the literature. For the electro- acoustic mode (plasma mode), it has been found that the two plasma modes (electronic and ionic) are coupled. They have been decoupled for a combined perturbation pressure. From the wave equation for this pressure for the source-free case, the expressions for the attenuation constant and the phase constant (and hence the phase velocity) have been derived for different frequency ranges.

Indexing Terms:

• EM waves
• Electroacoustic waves