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Based on the Z-transform method, a novel, simple and efficient algorithm for implementing the uniaxial perfectly matched layer (UPML) is proposed to truncate the finite-difference time-domain (FDTD) lattices. The main advantage is that, in the PML regions, the proposed algorithm requires minimum auxiliary variables to implement the UPML as compared with the published papers that used the Z-transform...
A novel implementation of the uniaxial perfectly matched layer (UPML) based on the D-H formulations is presented to truncate the finite-difference time-domain (FDTD) lattices. The method of direct discretizing the second-order differential equation is employed by the proposed algorithm in some PML regions. Two numerical tests have been carried out to validate these formulations.
The paper reviews memory-efficient algorithms of the high-order difference equations in the finite-difference time-domain (FDTD) method. In addition, the FDTD pseudo-code is provided for all methods. Through comparing the number of auxiliary variables and the implementation of the different memory-efficient algorithms available in the literature, it can be concluded that the algorithm proposed in...
A novel and efficient implementation of the complex frequency shifted perfectly matched layer (CFS-PML) based on the stretched coordinate PML (SC-PML) formulations is proposed for truncating the finite-difference time-domain (FDTD) lattices. For terminating dispersive media, the piecewise-linear recursive convolution (PLRC) is incorporated into the FDTD update scheme. To validate the proposed formulations,...
Based on the stretched coordinate perfectly matched layer (SC-PML) formulations and the Z-transform method, an efficient and unsplit-field implementation of the higher-order PML scheme with more than one pole is proposed to truncate the finite-difference time-domain (FDTD) lattices. The higher-order PML has the advantages of both the conventional PML and the complex frequency shifted PML (CFS-PML)...
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