Analysis of Plasma Wave Scattering Using Technique of Wave Digital Filters

Abstract

From a viewpoint of signal processing, some system of partial differential equations is replaced by some electric circuit. In this paper, this principle is applied to a system of plasma equations. There exists a fluid theory describing the plasma state as one of the systems of plasma equations, which consists of a system of Maxwell's equations and that of Euler's equations. A system of partial differential equations is transformed into an equivalent Kirchhoff circuit by considering all physical quantities as currents and replacing differential operators with inductances. Using technique of wave digital filters (WDF), Kirchhoff circuits are transformed into a WDF algorithm, leading to a numerical one. This numerical method is applied to an analysis of plasma wave scattering phenomena from a conductor cylinder immersed in a magnetized plasma.