Unconditionally Stable Higher Order CNAD-PML for Left-Handed Materials

Jianxiong Li; Peiyu Wu

doi:10.1109/TAP.2019.2927761

Unconditionally Stable Higher Order CNAD-PML for Left-Handed Materials

Jianxiong Li^*
, Peiyu Wu

^*Corresponding author for this work

Tiangong University

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

An unconditionally stable and efficient higher order complex frequency-shifted perfectly matched layer (CFS-PML) based on the Crank-Nicolson-approximate-decoupling (CNAD) algorithm is proposed for truncating the finite-difference time-domain (FDTD) computational domain filled with the left-handed materials (LHMs). The proposed higher order CFS-PML is implemented by the bilinear transform (BT) approach and the LHMs are solved by the trapezoidal recursive convolution (TRC) method. A numerical example is provided to validate the effectiveness of the proposed implementation. The results show that the proposed CFS-PML not only has better absorbing performance compared with the first-order CNAD CFS-PML and the alternating-direction-implicit (ADI) CFS-PML but also takes advantage of the unconditional stability of the original Crank-Nicolson algorithm.

Original language	English
Article number	8764575
Pages (from-to)	7156-7161
Number of pages	6
Journal	IEEE Transactions on Antennas and Propagation
Volume	67
Issue number	11
DOIs	https://doi.org/10.1109/TAP.2019.2927761
State	Published - Nov 2019
Externally published	Yes

Keywords

Bilinear transform (BT)
Crank-Nicolson-approximate-decoupling (CNAD)
finite-difference time-domain (FDTD)
left-handed materials (LHMs)
perfectly matched layer (PML)
trapezoidal recursive convolution (TRC)

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10.1109/TAP.2019.2927761

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title = "Unconditionally Stable Higher Order CNAD-PML for Left-Handed Materials",

abstract = "An unconditionally stable and efficient higher order complex frequency-shifted perfectly matched layer (CFS-PML) based on the Crank-Nicolson-approximate-decoupling (CNAD) algorithm is proposed for truncating the finite-difference time-domain (FDTD) computational domain filled with the left-handed materials (LHMs). The proposed higher order CFS-PML is implemented by the bilinear transform (BT) approach and the LHMs are solved by the trapezoidal recursive convolution (TRC) method. A numerical example is provided to validate the effectiveness of the proposed implementation. The results show that the proposed CFS-PML not only has better absorbing performance compared with the first-order CNAD CFS-PML and the alternating-direction-implicit (ADI) CFS-PML but also takes advantage of the unconditional stability of the original Crank-Nicolson algorithm.",

keywords = "Bilinear transform (BT), Crank-Nicolson-approximate-decoupling (CNAD), finite-difference time-domain (FDTD), left-handed materials (LHMs), perfectly matched layer (PML), trapezoidal recursive convolution (TRC)",

author = "Jianxiong Li and Peiyu Wu",

note = "Publisher Copyright: {\textcopyright} 1963-2012 IEEE.",

year = "2019",

month = nov,

doi = "10.1109/TAP.2019.2927761",

language = "英语",

volume = "67",

pages = "7156--7161",

journal = "IEEE Transactions on Antennas and Propagation",

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TY - JOUR

T1 - Unconditionally Stable Higher Order CNAD-PML for Left-Handed Materials

AU - Li, Jianxiong

AU - Wu, Peiyu

PY - 2019/11

Y1 - 2019/11

N2 - An unconditionally stable and efficient higher order complex frequency-shifted perfectly matched layer (CFS-PML) based on the Crank-Nicolson-approximate-decoupling (CNAD) algorithm is proposed for truncating the finite-difference time-domain (FDTD) computational domain filled with the left-handed materials (LHMs). The proposed higher order CFS-PML is implemented by the bilinear transform (BT) approach and the LHMs are solved by the trapezoidal recursive convolution (TRC) method. A numerical example is provided to validate the effectiveness of the proposed implementation. The results show that the proposed CFS-PML not only has better absorbing performance compared with the first-order CNAD CFS-PML and the alternating-direction-implicit (ADI) CFS-PML but also takes advantage of the unconditional stability of the original Crank-Nicolson algorithm.

AB - An unconditionally stable and efficient higher order complex frequency-shifted perfectly matched layer (CFS-PML) based on the Crank-Nicolson-approximate-decoupling (CNAD) algorithm is proposed for truncating the finite-difference time-domain (FDTD) computational domain filled with the left-handed materials (LHMs). The proposed higher order CFS-PML is implemented by the bilinear transform (BT) approach and the LHMs are solved by the trapezoidal recursive convolution (TRC) method. A numerical example is provided to validate the effectiveness of the proposed implementation. The results show that the proposed CFS-PML not only has better absorbing performance compared with the first-order CNAD CFS-PML and the alternating-direction-implicit (ADI) CFS-PML but also takes advantage of the unconditional stability of the original Crank-Nicolson algorithm.

KW - Bilinear transform (BT)

KW - Crank-Nicolson-approximate-decoupling (CNAD)

KW - finite-difference time-domain (FDTD)

KW - left-handed materials (LHMs)

KW - perfectly matched layer (PML)

KW - trapezoidal recursive convolution (TRC)

UR - https://www.scopus.com/pages/publications/85069932633

U2 - 10.1109/TAP.2019.2927761

DO - 10.1109/TAP.2019.2927761

M3 - 文章

AN - SCOPUS:85069932633

SN - 0018-926X

VL - 67

SP - 7156

EP - 7161

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 11

M1 - 8764575

ER -

Unconditionally Stable Higher Order CNAD-PML for Left-Handed Materials

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Keywords

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