Computing the Electric and Magnetic Matrix Green’s Functions in a Rectangular Parallelepiped with a Perfect Conducting Boundary

Abstract and Applied Analysis - Tập 2014 - Trang 1-13 - 2014
V. G. Yakhno1, Ş. Ersoy2,3
1Electrical and Electronics Engineering Department, Dokuz Eylul University, Kaynaklar, Buca, 35 160 Izmir, Turkey
2Department of Mathematics, Izmir Institute of Technology, Gulbahce, Urla, 35 430 Izmir, Turkey
3Department of Mathematics, The Graduate School of Natural and Applied Sciences, Dokuz Eylul University, Kaynaklar, Buca, 35 160 Izmir, Turkey

Tóm tắt

A method for the approximate computation of frequency-dependent magnetic and electric matrix Green’s functions in a rectangular parallelepiped with a perfect conducting boundary is suggested in the paper. This method is based on approximation (regularization) of the Dirac delta function and its derivatives, which appear in the differential equations for magnetic and electric Green’s functions, and the Fourier series expansion meta-approach for solving the elliptic boundary value problems. The elements of approximate Green’s functions are found explicitly in the form of the Fourier series with a finite number of terms. The convergence analysis for finding the number of the terms is given. The computational experiments have confirmed the robustness of the method.

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Abstract and Applied Analysis

Tập 2014

1-13

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