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An unstaggered colocated finite-difference scheme for solving time-domain Maxwell's equations in curvilinear coordinates

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2 Author(s)
Janaswamy, R. ; Dept. of Electr. & Comput. Eng., Naval Postgraduate Sch., Monterey, CA, USA ; Yen Liu

In this paper, we present a new unstaggered colocated finite-difference scheme for solving time-domain Maxwell's equations in a curvilinear coordinate system. All components of the electric and magnetic fields are defined at the same spatial point. A combination of one-sided forward- and backward-difference (FD/BD) operators for the spatial derivatives is used to produce the same order of accuracy as a staggered, central differencing scheme. In the temporal variable, the usual leapfrog integration is used. The computational domain is bounded at the far end by a curvilinear perfectly matched layer (PML). The PML region is terminated with a first-order Engquist-Majda-type absorbing boundary condition (ABC). A comparison is shown with results available in the literature for TEz scattering by conducting cylinders. Equations are also presented for the three-dimensional (3-D) case

Published in:

Antennas and Propagation, IEEE Transactions on  (Volume:45 ,  Issue: 11 )

Date of Publication:

Nov 1997

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