||CMC: Computers, Materials & Continua, Vol. 44, No. 3, pp. 141-166, 2014
||Full length paper in PDF format. Size = 559,980 bytes
||Gyro-electric materials, Green’s functions, analytical method, simulation
||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.