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High-order accurate modeling of electromagnetic wave propagation across media – grid conforming bodies. (English) Zbl 1116.78026

The paper is devoted to a fourth-order FDTD scheme for the solution of Maxwell equations with piecewise continuous coefficients. For the one-dimensional time-dependent equation various methods are compared numerically, where the discontinuous coefficient is regularized by continuous coefficients, either locally or globally. These regularizations are applied to three-dimensional Maxwell equations in spherical coordinates with a dielectric interface in the radial direction.

MSC:

78M20 Finite difference methods applied to problems in optics and electromagnetic theory
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
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