Diffraction of electromagnetic waves on superconducting thin shells with moving media (Q1375009)

Consider the scattering problem of a planar electromagnetic wave on a thin-walled superconducting closed shell \(\Gamma_\Delta\) of constant thickness \(\Delta\), bounded by external and internal sufficiently smooth surfaces \(\Gamma_1\) and \(\Gamma_2\). It is assumed that the superconducting medium, enclosed between the surfaces \(\Gamma_1\) and \(\Gamma_2\), is moving, where the speed vector is directed along the tangent to the shell surface. In order to obtain an approximate solution to the boundary value problem, using the fact that \(\Delta\) is sufficiently thin, we replace the shell \(\Gamma_\Delta\) with an ideally thin surface \(\Gamma\), coincident with the middle surface of the shell. On the surface \(\Gamma\) we introduce boundary conditions of a special type, called averaged boundary conditions, which contain the parameters of the medium and of the shell geometry and describe the process of electromagnetic field penetration into the interior cavity of the shell.