Non-stationary axially symmetric electromagnetic field in a deforming spherical shell

A non-stationary problem of determining the electromagnetic field components in a thick-wall spherical shell according to the assumed axially symmetric displacement field is considered. A linearized model, which includes Maxwell's equations and Ohm's generalized law, is used. For solving the problem, the expansions in series are used, as well as Laplace's transformation in the time domain and integral representations with nuclei in the form of Green's functions. These functions are deduced in a quasi-static approximation. An analytical solution is described. A translational shell motion is provided as an example.