Computation of the fundamental solution of electrodynamics for anisotropic materials

Valery Yakhno; Handan Yaslan; Tatiana Yakhno

Open Mathematics (2012)

  • Volume: 10, Issue: 1, page 188-203
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Valery Yakhno, Handan Yaslan, and Tatiana Yakhno. "Computation of the fundamental solution of electrodynamics for anisotropic materials." Open Mathematics 10.1 (2012): 188-203. <http://eudml.org/doc/269300>.

@article{ValeryYakhno2012,
abstract = {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.},
author = {Valery Yakhno, Handan Yaslan, Tatiana Yakhno},
journal = {Open Mathematics},
keywords = {Maxwell’s equations; Fundamental solution; Simulation; Maxwell's equations; fundamental solution; simulation},
language = {eng},
number = {1},
pages = {188-203},
title = {Computation of the fundamental solution of electrodynamics for anisotropic materials},
url = {http://eudml.org/doc/269300},
volume = {10},
year = {2012},
}

TY - JOUR
AU - Valery Yakhno
AU - Handan Yaslan
AU - Tatiana Yakhno
TI - Computation of the fundamental solution of electrodynamics for anisotropic materials
JO - Open Mathematics
PY - 2012
VL - 10
IS - 1
SP - 188
EP - 203
AB - 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.
LA - eng
KW - Maxwell’s equations; Fundamental solution; Simulation; Maxwell's equations; fundamental solution; simulation
UR - http://eudml.org/doc/269300
ER -

References

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