Amplification of a magnetic field in systems with a finite electric conductivity

In this study we investigated the kinematics of electromagnetic fields with various configurations of the magnetic and electric fields in systems with spherical and cylindrical symmetry using the exact solutions to the diffus ion equation for the electromagnetic field in systems with moving boundarie s. In the class of self-similar solutions we determined analytically condit ions for the amplification of the electromagnetic held as functions of mate rial velocity and electric conductivity. We investigated also the effects o f the amplification of an electromagnetic field during propagation of a sph erical shock wave in a dielectric material whereby the shock wave causes tr ansformation of a material into a conductor.