Reflection and Refraction of Plane Waves at the Interface of Two Visco-thermoelastic Liquid Layers in Presence of Magnetic Field and Compressional Stress, with the Outer Core Inside the Earth as a Model

Abstract

This paper is devoted to investigate the effects of viscosity, magnetic field and compressional stress on reflection and refraction of plane waves while propagating through the interface of two visco-thermoelastic liquid layers. The basic dynamical equations of motion for visco-thermoelastic liquid medium in presence of magnetic field and the heat conduction equation in the context of Green–Lindsay theory have been solved to derive the wave equations for the reflected and refracted P, SV and thermal waves. Using appropriate boundary conditions, equations containing the ratios of amplitude of various reflected and transmitted components to that of incident wave have been obtained in matrix form. These amplitude ratios have been computed numerically for P-wave incidence only and results obtained are presented graphically.