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Preprints of the Keldysh Institute of Applied Mathematics, 2010, 078, 18 pp. (Mi ipmp263)  
Transparent boundary conditions for 2D Maxwell equations in Lorentz media

N. A. Zaitsev, I. L. Sofronov
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Abstract: Transparent Boundary Conditions (TBCs) for 2D mode of Maxwell’s equations in dispersive media described by Lorentz theory are proposed. Analytical formulas of TBCs contain a non-local term with convolutions with respect to time. In order to discretize TBCs for the alternate direction implicit time-stepping algorithm (ADI) derived in [1] for extended system we reformulate convolutions using auxiliary variables.
Document Type: Preprint
Language: English
Citation: N. A. Zaitsev, I. L. Sofronov, “Transparent boundary conditions for 2D Maxwell equations in Lorentz media”, Keldysh Institute preprints, 2010, 078, 18 pp.
Citation in format AMSBIB
\Bibitem{ZaiSof10}
\by N.~A.~Zaitsev, I.~L.~Sofronov
\paper Transparent boundary conditions for 2D Maxwell equations in Lorentz media
\jour Keldysh Institute preprints
\yr 2010
\papernumber 078
\totalpages 18
\mathnet{http://mi.mathnet.ru/ipmp263}
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