Resumen de Operator splitting methods for Maxwell's equations in dispersive media with orientational polarization

Vrushali Bokil, O. A. Keefer, A. C. -Y. Leung

• We present two operator splitting schemes for the numerical simulation of Maxwell�s equations in dispersive media of Debye type that exhibit orientational polarization (the Maxwell�Debye model). The splitting schemes separate the mechanisms of wave propagation and polarization to create simpler sub-steps that are easier to implement.

  In addition, dimensional splitting is used to propagate waves in different axial directions.

  We present a sequential operator splitting scheme and its symmetrized version for the Maxwell�Debye system in two dimensions. The splitting schemes are discretized using implicit finite difference methods that lead to unconditionally stable schemes. We prove that the fully discretized sequential scheme is a first order time perturbation, and the symmetrized scheme is a second order time perturbation of the Crank�Nicolson scheme for discretizing the Maxwell�Debye model. Numerical examples are presented that illustrate our theoretical results.