Affiliation:
1. School of Mathematics and Statistics, University of St AndrewsSt Andrews, Fife KY16 9SS, UK
Abstract
Maxwell's equations formulated for media with gradually changing conductivity are reduced to Volterra integral equations. Analytical and numerical investigations of the equations are presented for the case of gradual splash-like change in conductivity. Splash-like change in medium parameters can model any discharge phenomena, growing plasma, charge injection, etc. Exact analytical solution for the resolvent is presented and different field behaviours are analysed for the incident field as a plane wave and as an impulse.
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Cited by
5 articles.
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