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On Maxwell's Equations in Non-Stationary Media

I. Vorgul
Philosophical Transactions: Mathematical, Physical and Engineering Sciences
Vol. 366, No. 1871, James Clerk Maxwell 150 Years On (May 28, 2008), pp. 1781-1788
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/25190785
Page Count: 8
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On Maxwell's Equations in Non-Stationary Media
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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.

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