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An optimal edge based finite difference solution to the vector Helmholtz equation in two dimensions

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2 Author(s)
Kishore Rama Rao ; Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA ; R. Lee

In this paper, the authors investigate an edge-based finite difference method based on the reduced dispersion finite difference method. In this method, an arbitrary stencil can be used to obtain a finite difference equation where optimal coefficients are derived for a plane wave propagating through a homogeneous region, in the presence of material discontinuities and also for an anisotropic absorber for use as a perfectly matched layer (PML). Numerical results obtained using the optimal finite difference method are compared to those obtained using the vector finite element method (VFEM) with H0(curl) basis function to demonstrate the improved performance of the proposed method

Published in:

IEEE Transactions on Magnetics  (Volume:35 ,  Issue: 3 )