Solving an initial value problem in inhomogeneous electrically and magnetically anisotropic uniaxial media

DOI10.1016/J.AMC.2009.11.027zbMath1188.78003OpenAlexW2097592457MaRDI QIDQ2266960

Valery G. Yakhno, Ali Sevimlican

Publication date: 26 February 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.11.027

zbMATH Keywords

Fourier transformelectric fieldinitial value problemanisotropic mediasecond order partial differential equation system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Initial value problems for second-order hyperbolic equations (35L15) Waves and radiation in optics and electromagnetic theory (78A40) Volterra integral equations (45D05)

Related Items (1)

Initial value problem for elastic system in transversely isotropic inhomogeneous media

Cites Work

• Real Paley-Wiener theorems for the inverse Fourier transform on a Riemannian symmetric space.
• A novel approach for modeling and simulation of electromagnetic waves in anisotropic dielectrics
• Fundamental matrices of homogeneous hyperbolic systems. Applications to crystal optics, elastodynamics, and piezoelectromagnetism
• The fundamental solution of the time-dependent system of crystal optics
• Constructing Green's function for the time-dependent Maxwell system in anisotropic dielectrics
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