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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2015 Volume 27, Number 12, Pages 48–64 (Mi mm3678)

Electromagnetic wave's propagation in medium with nonstationary permittivity and permeability. Part 1

I. V. Matyushkinab, G. Ya. Krasnikovab, N. V. Chernyaevb, E. S. Gornevba, N. V. Evstratovab

a Moscow Institute of Physics and Technology
b Molecular Electronics Research Institute JSC

Abstract: Fundamental system of Maxwell's equations for electromagnetic waves propagating in a medium with time-dependent permittivity and permeability are treated as controls in photonics devices is formulated in terms of field potentials. Fact that the wave will be harmonic (with frequency bigger than first one) if and only if controls is also harmonic with double frequency and specially fitted amplitude is shown for monochromatic plane wave in finite waveguide. Method of phase incursion’s and amplitude's of disturbed wave calculation is proposed.

Keywords: Maxwell's equations, the telegrapher's equations, permittivity, photonics.

UDC: 517.956.32

Received: 17.03.2015



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