[IEEE 2018 International Conference on Electromagnetics in Advanced Applications (ICEAA) - Cartagena des Indias (2018.9.10-2018.9.14)] 2018 International Conference on Electromagnetics in Advanced Applications (ICEAA) - Exact Solution for the Electromagnetic Field Excited by a Pulsed Filamentary Electric Current in a Nonlinear Nondispersive Medium

摘要： Radiation from a pulsed ?lamentary electric current immersed in a nonlinear nondispersive medium is studied. Two cases where such a medium is homogeneous or has a power-law permittivity pro?le in the linear limit are considered and the spatial distributions of the source-excited ?elds in the nonlinear regime are analyzed in these cases. Concerning the propagation of pulsed signals excited by the source, the emphasis is placed on the formation of cylindrical electromagnetic shock waves and the behavior of the propagation velocities of wave pro?les in the nonlinear medium. Special attention is also paid to the in?uence of the pulse shape on the manifestation of the studied nonlinear phenomena.