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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.
Original language | English |
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Pages (from-to) | 1781-1788 |
Number of pages | 8 |
Journal | Philosophical Transactions of the Royal Society. A, Mathematical, Physical and Engineering Sciences |
Volume | 366 |
Issue number | 1871 |
DOIs | |
Publication status | Published - 28 May 2008 |
Keywords
- transient media
- analytical solutions
- propagation in time-varying media
- gradually changing parameters
- TIME-VARYING MEDIA
- ELECTROMAGNETIC-WAVES
- TRANSIENT-CONDUCTIVITY
- PROPAGATION
- SCATTERING
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Dive into the research topics of 'On Maxwell's equations in non-stationary media'. Together they form a unique fingerprint.Projects
- 1 Finished
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Beam Driven Instabilities in Magnetized: Beam diven instabilities in magnetized plasmas
Cairns, R. A. (PI)
1/01/06 → 31/12/08
Project: Standard