One-dimensional time-dependent waves in a thick electromagnetoelastic spherical shell

Abstract

A method for solving time-dependent bound problems of propagation of electromagnetoelastic waves is used. The linearized problem formulation relative to initial static electromagnetic field for homogeneous isotropous medium with the absence of piezoelectric effects taking into consideration Lorentz force is presented. The solution method is described for one-dimensional problem for a spherical layer. To obtain the solution the Laplace transform of time and resolution in series, in terms of a small parameter have been used. The latter characterizes the degree of coherence between elastic properties and electromagnetic field. The example of the calculation has been introduced.