Determination of Green’s Tensor for a Conducting Magneto-Viscoelastic Medium

The interaction of conducting magnetic and elastic or viscoelastic and thermal or thermoelastic fields in an infinite random medium has been under study for some time. Knopoff [1] and Wilson [2] undertook the study of the effect of the presence of magnetic fields in elastic wave propagation. However, the evaluation and application of Green’s functions are essential to the study of wave propagation in interacting magnetic and viscoelastic or elastic fields in random media following J.B. Keller’s perturbation procedure. This is illustrated by the study of wave propagation in random elastic medium by Karal and Keller [3], in random thermoelastic media by Chow [4]. Van Kampen [5] has shwon that the study of the exact solution of wave propagation in a medium with randon refractive index depends on the knowledge of the relevant Green’s function. A knowledge of Green’s function is also essential for the one body scattering problem and the problem of multiple scattering by randomly distributed scatterers (Frisch [6]). In this paper, the components of the Green’s tensor for interacting conducting magnetic and elastic fields in an infinite homogeneous medium is expressed in the form of Fourier integrals by the use of Fourier transforms. It has been possible to evaluate the appropriate integrals approximately for the case of a conducting medium. Two sets of Green’s functions, depending upon high and low frequencies have been presented.