Symbolic Computation of an Exact Solution of the Cauchy Problem for the System of Crystal Optics with Polynomial Data

DOI10.1007/978-3-642-00464-3_70zbMath1233.78042OpenAlexW1501663512MaRDI QIDQ3615706

Meltem Altunkaynak, Valery G. Yakhno

Publication date: 24 March 2009

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-00464-3_70

zbMATH Keywords

initial value problempolynomial solutionssymbolic computationsanalytical methodsystem of crystal optics

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Polynomials, factorization in commutative rings (13P05)

Uses Software

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Cites Work

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• A novel approach for modeling and simulation of electromagnetic waves in anisotropic dielectrics
• A stable FDTD algorithm for non-diagonal, 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
• Properties of the dyadic Green's function for an unbounded anisotropic medium
• Green functions and propagation of waves in strongly inhomogeneous media
• Constructing Green's function for the time-dependent Maxwell system in anisotropic dielectrics
• Finite Element Methods for Maxwell's Equations

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