Computation of the fundamental solution of electrodynamics for anisotropic materials

• Autorzy: Valery Yakhno , Handan Yaslan , Tatiana Yakhno
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Maxwell’s equations; Fundamental solution; Simulation

Kategorie tematyczne

• 35L15: Initial value problems for second-order hyperbolic equations
• 35L55: Higher-order hyperbolic systems
• 35Q60: PDEs in connection with optics and electromagnetic theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 1
• Strony: 188-203

Daty

wydano

2012-02-01

online

2011-12-09

Twórcy

autor

Valery Yakhno

• Dokuz Eylul University

autor

Handan Yaslan

• Pamukkale University

autor

Tatiana Yakhno

• Izmir University

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Identyfikatory

DOI

10.2478/s11533-011-0122-z