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