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An explicit fourth-order staggered finite-difference time-domain method for Maxwell’s equations. (English) Zbl 1014.78015
The authors present a new finite-difference time-domain method which is fourth-order accurate both in time and space. The computational efficiency of the method is essentially improved compared to the original FD-TD method, but retains much of its simplicity. It can be easily adapted to cope with material discontinuities and different boundary conditions. Several numerical experiments illustrate the efficiency of the method, they indicate that dispersive errors can be effectively reduced.
MSC:
78M20Finite difference methods (optics)
65M06Finite difference methods (IVP of PDE)
65M15Error bounds (IVP of PDE)
78-05Experimental papers (optics, electromagnetic theory)