کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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6422577 | 1632028 | 2014 | 29 صفحه PDF | دانلود رایگان |
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.
Journal: Journal of Computational and Applied Mathematics - Volume 263, June 2014, Pages 160-188