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


Yakhno V. G., Ersoy S.

ABSTRACT AND APPLIED ANALYSIS, 2014 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1155/2014/586370
  • Dergi Adı: ABSTRACT AND APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.