Table of Content

Open Access iconOpen Access

ARTICLE

Computing the Electric and Magnetic Green’s Functions in General Electrically Gyrotropic Media

V. G. Yakhno1, B. Çiçek2

Electrical and Electronics Engineering Department, Dokuz Eylul University, Kaynaklar, Buca,Izmir, 35160, Turkey.
Mathematics Department, The Graduate School of Natural and Applied Sciences, Dokuz EylulUniversity, Kaynaklar, Buca, Izmir, 35160, Turkey.

Computers, Materials & Continua 2014, 44(3), 141-166. https://doi.org/10.3970/cmc.2014.044.141

Abstract

A method for an approximate computation of the electric and magnetic Green’s functions for the time-harmonic Maxwell’s equations in the general electrically gyrotropic materials is proposed. This method is based on the Fourier transform meta-approach: the equations for electric and magnetic fields are written in terms of images of the Fourier transform with respect to space variables and as a result of it the linear algebraic systems for finding Fourier images of the columns of the Green’s functions are obtained. The explicit formulas for the solutions of the obtained systems have been found. Finally, elements of the Green’s functions are determined by the inverse Fourier transform in the space of tempered distributions. The approximate computation of the inverse Fourier transform has been implemented by MATLAB tools. The computational experiments confirm the robustness of the method.

Keywords


Cite This Article

APA Style
Yakhno, V.G., Çiçek, B. (2014). Computing the electric and magnetic green’s functions in general electrically gyrotropic media. Computers, Materials & Continua, 44(3), 141-166. https://doi.org/10.3970/cmc.2014.044.141
Vancouver Style
Yakhno VG, Çiçek B. Computing the electric and magnetic green’s functions in general electrically gyrotropic media. Comput Mater Contin. 2014;44(3):141-166 https://doi.org/10.3970/cmc.2014.044.141
IEEE Style
V.G. Yakhno and B. Çiçek, "Computing the Electric and Magnetic Green’s Functions in General Electrically Gyrotropic Media," Comput. Mater. Contin., vol. 44, no. 3, pp. 141-166. 2014. https://doi.org/10.3970/cmc.2014.044.141



cc Copyright © 2014 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 2037

    View

  • 1430

    Download

  • 0

    Like

Share Link