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KIAM Preprint ¹ 78, Moscow, 2010
Authors: Zaitsev N. A., Sofronov I. L.
Transparent boundary conditions for 2D Maxwell equations in Lorentz media
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.
Publication language: english,  pages: 18
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Zaitsev Nikolay Albertovich,  KIAM RAS
  • Sofronov I. L.,  KIAM RAS