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Different implementations of material independent multi‐order nearly perfectly matched layers for EM simulations
Author(s) -
Wu Peiyu,
Xie Yongjun,
Jiang Haolin,
Niu Liqiang
Publication year - 2020
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.32495
Subject(s) - finite difference time domain method , bilinear interpolation , perfectly matched layer , implementation , order (exchange) , computer science , bilinear transform , field (mathematics) , electronic engineering , signal processing , frequency domain , domain (mathematical analysis) , algorithm , mathematics , digital signal processing , telecommunications , physics , engineering , optics , mathematical analysis , bandwidth (computing) , digital filter , finance , pure mathematics , economics , computer vision , programming language
To deal with EM simulations with the low‐frequency evanescent and propagation waves, multi‐order nearly perfectly matched layers (NPML) with complex frequency shifted factor are presented to terminate finite‐difference time‐domain (FDTD) domains. By incorporating the digital signal processing techniques including the bilinear Z‐transform, matched Z‐transform, and direct Z‐transform methods, the proposals can not only obtain better performance compared with the original NPMLs but also have considerable efficiency compared with other multi‐order PMLs. Meanwhile, these implementations can terminate arbitrary mediums without changing the field‐updated equations in the PML regions. Based upon the multi‐order concept, the proposals can be switched flexibly between the first order and multi‐order according to different EM simulations by changing the optimized parameters. Numerical results indicate that our proposals can not only enjoy higher computational efficiency but also easier to implement according to different mediums in the EM modeling and simulations.