A frequency-domain analytical solution of Maxwell's equations for layered anisotropic media
A.L. Karchevsky
Sobolev Institute of Mathematics, Siberian Branch of the RAS, 4 prosp. Akad. Koptyuga, Novosibirsk, 630090, Russia
Keywords: Maxwell's equations; layered anisotropic medium; differential matrix Riccati equation
Pages: 689-695
Subsection: GEOPHYSICS
Abstract
An analytical solution of Maxwell's equations for layered anisotropic media is presented in a form which allows estimating the sought parameters by layer stripping without round-off accumulation. The solution in each layer is reduced to the standard procedures of solving a fourth-order algebraic equation, multiplication, addition, and inversion of second-order non-singular matrices. The algorithm has no limitations on layer thickness and is applicable to both very thick and very thin layers. The new numerical code is straightforward and can be easily parallelized.
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