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Reflection and transmission coefficients of electromagnetic waves with different polarizations on a one-dimensional layer of an inhomogeneity of the medium

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Radiophysics and Quantum Electronics Aims and scope

Abstract

We have obtained strict formulas (without approximations) for the reflection and transmission coefficients of electromagnetic waves with an arbitrary polarization in an isotropic medium with a one-dimensional layer of an inhomogeneity of an arbitrary profile playing the role of a transition layer between two different homogeneous media. Since these formulas involve values that are found by numerically integrating the first-order ordinary differential equations, the result of this paper is a fast and convenient method for calculating the above coefficients. The calculated results for two particular cases are given. An analytical limiting passage from the obtained formulas to the particular case of a sharp interface between the media (i.e., to known Fresnel formulas) is presented.

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References

  1. V. I. Pogorelov,Izv. Vyssh. Uchebn. Zaved., Radiofiz.,33, No. 4, 435 (1990).

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  2. V. L. Ginzburg,Propagation of Electromagnetic Waves in Plasma [in Russian], Nauka, Moscow (1960).

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Authors and Affiliations

  1. N. V. Lobachevsky State University, Nizhny Novgorod

    V. I. Pogorelov

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  1. V. I. Pogorelov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 39, No. 9, pp. 1075–1086, September, 1996.

This work was supported by the Russian Foundation for Fundamental Research.

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Pogorelov, V.I. Reflection and transmission coefficients of electromagnetic waves with different polarizations on a one-dimensional layer of an inhomogeneity of the medium. Radiophys Quantum Electron 39, 717–724 (1996). https://doi.org/10.1007/BF02120850

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  • DOI: https://doi.org/10.1007/BF02120850

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