Computation of the fundamental solution of electrodynamics for anisotropic materials
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, cilt.10, sa.1, ss.188-203, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 10 Sayı: 1
- Basım Tarihi: 2012
- Doi Numarası: 10.2478/s11533-011-0122-z
- Dergi Adı: CENTRAL EUROPEAN JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.188-203
- Anahtar Kelimeler: Maxwell's equations, Fundamental solution, Simulation
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
A new method for computation of the fundamental solution of electrodynamics for general anisotropic nondispersive materials is suggested. It consists of several steps: equations for each column of the fundamental matrix are reduced to a symmetric hyperbolic system; using the Fourier transform with respect to space variables and matrix transformations, formulae for Fourier images of the fundamental matrix columns are obtained; finally, the fundamental solution is computed by the inverse Fourier transform. Applying the suggested approach, the fundamental solution components are computed in general anisotropic media. Computational examples confirm robustness of the suggested method.