volume | PIER Journals

2004-06-22

The Electromagnetic-Wave Propagation through a Stratified Inhomogeneous Anisotropic Medium

Fridrikh G. Bass,

Dr. Fridrikh G. Bass

Department of Physics

Bar-Ilan University

Israel

Homepage

L. Resnick

Dr. L. Resnick

Department of Physics

Bar-Ilan University

Israel

Homepage

, Vol. 48, 67-83, 2004

doi:10.2528/PIER03122302 | Google Scholar

Abstract

The electromagnetic-wave propagation through a medium consisting of two dielectric half-spaces with a plate in between, has been investigated. The half-spaces are isotropic with their dielectric permittivity depending only on the z coordinate. The plate is anisotropic, and the components of its dielectric permittivity tensor are also z-dependent. For the first time, the sufficient conditions allowing the transformation of the system of Maxwell's equations into two independent equations, are ascertained. For an arbitrary z-dependence of the dielectric permittivity, the plate's reflectance and transmittance coefficients are obtained, this result being a generalization of the Fresnel formulas. We have considered both determinate and random dependences of the dielectric permittivity on the z-coordinate, and the plate's full-transparency conditions are specified. For a statistically inhomogeneous plate, the conditions of its full opacity are formulated. The Faraday effect in such a medium is studied. The influence of the medium's inhomogeneity on the temporal rotation of the polarization plane of a propagating wave has been demonstrated.

Download Full Article (969) View Full Article

Citation

Copy Export

Fridrikh G. Bass, and L. Resnick, "The Electromagnetic-Wave Propagation through a Stratified Inhomogeneous Anisotropic Medium," , Vol. 48, 67-83, 2004.
doi:10.2528/PIER03122302

References

1. Bass, F. and L. Resnick, "Spatial and temporal rotation of the polarization plane of electromagnetic waves reflected from and transmitted through a gyrotropic plate," J. of Electromagn. Waves and Appl., Vol. 17, 1131-1137, 2003.
doi:10.1163/156939303322519739 Google Scholar

2. Brekhovskikh, L. M., Waves in Layered Media, Academia, 1985.

3. Bilotti, F., A. Toscano, and V. Vegni, "Design of inhomogeneous slabs for filtering applications via closed form solutions of the reflection coefficient," J. of Electromagn. Waves and Appl., Vol. 16, 1233-1254, 2002. Google Scholar

4. Hashish, E. A., "Forward and inverse scattering from an inhomogeneous dielectric slab," J. of Electromagn. Waves and Appl., Vol. 17, 719-736, 2003.
doi:10.1163/156939303322226374 Google Scholar

5. Landau, L. D. and E. M. Lifshits, Electrodynamics of Continuous Media, Pergamon Press, 1984.

6. Cheng, P. (ed.), Scattering and Localization of Classical Waves in Random Media, World Scientific, 1990.

7. Belinskii, A. V., "Regular and quasiregular spectra of disordered layer structures," Physics-Uspekhi, Vol. 38, 653-664, 1995.
doi:10.1070/PU1995v038n06ABEH000093 Google Scholar