AN UNSTAGGERED COLOCATED FINITE-DIFFERENCE SCHEME FOR SOLVING TIME-DOMAIN MAXWELLS EQUATIONS IN CURVILINEAR COORDINATES

In this paper, we present a new unstaggered colocated finite-differenc e scheme for solving time-domain Maxwell's equations in a curvilinear coordinate system. All components of the electric and. magnetic fields are defined al the same spatial point, A combination of one-sided for ward-and backward-difference (FD/BD) operators for the spatial derivat ives is used to produce the same order of accuracy as a staggered, cen tral differencing scheme. In the temporal variable, the usual leapfrog integration is used. The computational domain is bounded at the far e nd by a curvilinear perfectly matched layer (PML). The PML region is t erminated with a first-order Engquist-Majda-type absorbing boundary co ndition (ABC). Comparison is shown with results available in the liter ature for TEz scattering by conducting cylinders. Equations are also p resented for the three-dimensional (3-D) case.