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A quasi-wave method for determination of a general solution to the complex maxwell equations in an inhomogeneous anisotropic absorbing medium

  • Electrodynamics and Wave Propagation
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Abstract

A formal general solution to the homogeneous Maxwell equations is obtained in the form of a matrix asymptotic series for the case of a quasi-plane-layered medium in which complex tensors \( \hat \varepsilon \) and \( \hat \mu \) arbitrarily depend on Cartesian coordinate zand slowly change in the planes z=const. A recurrent system of matrix first-order linear ordinary differential equations for the coefficients of this series is derived. In contrast to the method of geometric optics, this solution, even in the first approximation, takes into account the wave polarization and has a wider range of application.

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Authors
  1. R. L. Evel’son
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Original Russian Text © R.L. Evel’son, 2009, published in Radiotekhnika i Elektronika, 2009, Vol. 54, No. 2, pp. 144–151.

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Evel’son, R.L. A quasi-wave method for determination of a general solution to the complex maxwell equations in an inhomogeneous anisotropic absorbing medium. J. Commun. Technol. Electron. 54, 134–141 (2009). https://doi.org/10.1134/S1064226909020028

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  • DOI: https://doi.org/10.1134/S1064226909020028

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