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Modified Z ‐transform‐based FDTD algorithm for the anisotropic perfectly matched layer
Author(s) -
Li Jianxiong,
Dai Jufeng
Publication year - 2007
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.666
Subject(s) - finite difference time domain method , perfectly matched layer , anisotropy , algorithm , layer (electronics) , simple (philosophy) , domain (mathematical analysis) , computer science , mathematics , mathematical analysis , optics , materials science , physics , composite material , philosophy , epistemology
A modified Z ‐transform‐based algorithm for implementing the D‐H anisotropic perfectly matched layer (APML) is presented for truncating the finite‐difference time‐domain (FDTD) lattices. The main advantage is that, as compared with the previous Z ‐transform‐based implementation for the D‐H APML, the proposed algorithm requires less auxiliary variables in the PML regions, and thus the memory requirement and the computational time are saved. These formulations are simple and independent of the material properties of the FDTD computational domain. Two numerical tests have been carried out to validate these formulations. Copyright © 2007 John Wiley & Sons, Ltd.