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

I. V. Matyushkin; G. Ya. Krasnikov; N. V. Chernyaev; E. S. Gornev; N. V. Evstratov

Geodesic

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

I. V. Matyushkin ; G. Ya. Krasnikov ; N. V. Chernyaev ; E. S. Gornev ; N. V. Evstratov

Matematičeskoe modelirovanie, Tome 27 (2015) no. 12, pp. 48-64

Voir la notice de l'article provenant de la source Math-Net.Ru

Résumé

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.

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     author = {I. V. Matyushkin and G. Ya. Krasnikov and N. V. Chernyaev and E. S. Gornev and N. V. Evstratov},
     title = {Electromagnetic wave's propagation in medium with nonstationary permittivity and permeability. {Part~1}},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {48--64},
     publisher = {mathdoc},
     volume = {27},
     number = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2015_27_12_a3/}
}

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I. V. Matyushkin; G. Ya. Krasnikov; N. V. Chernyaev; E. S. Gornev; N. V. Evstratov. Electromagnetic wave's propagation in medium with nonstationary permittivity and permeability. Part~1. Matematičeskoe modelirovanie, Tome 27 (2015) no. 12, pp. 48-64. http://geodesic.mathdoc.fr/item/MM_2015_27_12_a3/