• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.15 no.10 s.89
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• pp.977-982
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• 2004

In this paper, a dispersive anisotropic perfectly matched layer(APML) is proposed using piecewise linear recursive convolution(PLRC) for finite difference time domain(FDTD) methods. This proposed APML can be utilized for the analysis of a nonlinear dispersive medium as absorbing boundary condition(ABC). The formulation is simple modification to the original AMPL and can be easily implemented. Also it has some advantages of the PLRC approach-fast speed, low memory cost, and easy formulation of multiple pole susceptibility. We applied this APML to 2-D propagation problems in dispersive media such as Debye and Lorentz media The results showed good absorption at boundaries.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.9 no.5
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• pp.678-686
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• 1998

This paper describes an anisotropic perfectly matched layer (APML) for mesh truncation of the Finite Difference Time Domain(FDTD) method. The APML method can classified by a split type and an unsplit type, in case of the split type be made up 12 equations or 8 equations largely, and in case of the unsplit type be made of 6 equations. Therefore the latter is more simple as compare with the former. For the APML method presented in this paper is the latter, is directly derived from the time domain equations of Maxwell and extend to the three dimensional problem for the method suggested by Chen. Especially, in the edge and corner parts except the planes, the APML method effectively treated as compound with the Chen's method and Gedney's method newly. The results of the numerical method in this paper show the radiation patterns and the time responses of electromagnetic fields of the wire antennas according to wavelengths and the APML results are compared with Mur's first order absorbing boundary condition and Kraus's analytical results. Eventually, Mur's first order condition have many errors at the edge and corner. On the other hand, in comparison with Kraus's analytical results, it is quite good agreement, and the validity of present method is confirmed.