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