The computation of the time-dependent magnetic and electric matrix Green's functions in a parallelepiped

Yakhno V. G., Ersoy S.

APPLIED MATHEMATICAL MODELLING, cilt.39, sa.20, ss.6332-6350, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 20
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.apm.2015.01.057
  • Dergi Adı: APPLIED MATHEMATICAL MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.6332-6350
  • Anahtar Kelimeler: Maxwell's equations, Perfect conducting boundary, Green's function, Analytical method, Simulation
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

A method for the computation of the time-dependent magnetic and electric matrix Green's functions in a parallelepiped with perfect conducting boundary is suggested. The method consists of the following. The equations for the magnetic Green's function are written in the form of the initial boundary value problem for a vector wave equation. Applying the Fourier series expansion approach, an explicit formula for an approximate solution of this problem is constructed. Using this formula the elements of an approximate electric Green's function are found explicitly. Numerical computation of the time-dependent magnetic and electric Green's functions has been implemented in MATLAB. The computational experiments confirm robustness of the method. (C) 2015 Elsevier Inc. All rights reserved.