Sakhnenko N. Volterra integral equation approach for the transient electromagnetic problems with axial symmetry

Object - transient electromagnetic process in time varying axially symmetric media; aim is to discover the electromagnetic characteristics of a transient cylinder region including dispersive one and to study electromagnetic field transformation caused by this obstacle; methods - fundamental positions of elecrtomagnetics, Volterra integral equation approach, resolvent method; results - the Volterra integral equations that describe the interaction of electromagnetic field and transient axially symmetric region have been obtained, the resolvent operators for two types of medium inside the cylinder region have been built, there was obtained the characteristics of dielectric and plasma resonator after pulse current excitation, reaction of a field on an appearance of transparent inclusion has been studied; innovation - the Volterra integral equation approach has been successfully applied for the first time to the problems with axial symmetry, resolvent operators have been constructed analytically for severalmodel problems, the problem of normal incidence of the plane wave on transient cylinder has been solved analytically; level - the developed theory can be used for elaboration of devices with transient plasma and dielectrics and for modeling of electromagnetic phenomena in the atmosphere and the ionosphere; usage sphere - optoelectronics, research institutes that study ionosphere phenomena