A new method for computation of the fundamental solution of electrodynamics for general anisotropic nondispersive materials is suggested. It consists of several steps: equations for each column of the fundamental matrix are reduced to a symmetric hyperbolic system; using the Fourier transform with respect to space variables and matrix transformations, formulae for Fourier images of the fundamental matrix columns are obtained; finally, the fundamental solution is computed by the inverse Fourier transform. Applying the suggested approach, the fundamental solution components are computed in general anisotropic media. Computational examples confirm robustness of the suggested method.
@article{bwmeta1.element.doi-10_2478_s11533-011-0122-z,
author = {Valery Yakhno and Handan Yaslan and Tatiana Yakhno},
title = {Computation of the fundamental solution of electrodynamics for anisotropic materials},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {188-203},
zbl = {1243.78051},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0122-z}
}
Valery Yakhno; Handan Yaslan; Tatiana Yakhno. Computation of the fundamental solution of electrodynamics for anisotropic materials. Open Mathematics, Tome 10 (2012) pp. 188-203. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0122-z/
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