Stability analysis of the PML scheme for CN-FDTD and ADI-FDTD

Jiunn Nan Hwang; Fu-Chiarng Chen

doi:10.1002/mop.28658

Stability analysis of the PML scheme for CN-FDTD and ADI-FDTD

Jiunn Nan Hwang, Fu-Chiarng Chen^*

^*Corresponding author for this work

Department of Electrical and Computer Engineering

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

Abstract

The alternating direction implicit-finite-difference time-domain (ADI-FDTD) method can be seen as a second-order perturbation of the Crank-Nicolson FDTD (CN-FDTD) scheme. When the PML is introduced for the ADI-FDTD method, the perturbation term will affect the stability of the ADI-FDTD method. In this work, the stability analysis of the PML schemes for the ADI-FDTD and CN-FDTD are demonstrated. It is found that the PML equations for ADI-FDTD method will be unstable due to the perturbation term.

Original language	English
Pages (from-to)	2637-2642
Number of pages	6
Journal	Microwave and Optical Technology Letters
Volume	56
Issue number	11
DOIs	https://doi.org/10.1002/mop.28658
State	Published - 1 Jan 2014

Keywords

alternating direction implicit-finite-difference time-domain
Crank-Nicolson FDTD
perturbation term
PML
stability

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10.1002/mop.28658

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title = "Stability analysis of the PML scheme for CN-FDTD and ADI-FDTD",

abstract = "The alternating direction implicit-finite-difference time-domain (ADI-FDTD) method can be seen as a second-order perturbation of the Crank-Nicolson FDTD (CN-FDTD) scheme. When the PML is introduced for the ADI-FDTD method, the perturbation term will affect the stability of the ADI-FDTD method. In this work, the stability analysis of the PML schemes for the ADI-FDTD and CN-FDTD are demonstrated. It is found that the PML equations for ADI-FDTD method will be unstable due to the perturbation term.",

keywords = "alternating direction implicit-finite-difference time-domain, Crank-Nicolson FDTD, perturbation term, PML, stability",

author = "Hwang, {Jiunn Nan} and Fu-Chiarng Chen",

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AU - Hwang, Jiunn Nan

AU - Chen, Fu-Chiarng

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N2 - The alternating direction implicit-finite-difference time-domain (ADI-FDTD) method can be seen as a second-order perturbation of the Crank-Nicolson FDTD (CN-FDTD) scheme. When the PML is introduced for the ADI-FDTD method, the perturbation term will affect the stability of the ADI-FDTD method. In this work, the stability analysis of the PML schemes for the ADI-FDTD and CN-FDTD are demonstrated. It is found that the PML equations for ADI-FDTD method will be unstable due to the perturbation term.

AB - The alternating direction implicit-finite-difference time-domain (ADI-FDTD) method can be seen as a second-order perturbation of the Crank-Nicolson FDTD (CN-FDTD) scheme. When the PML is introduced for the ADI-FDTD method, the perturbation term will affect the stability of the ADI-FDTD method. In this work, the stability analysis of the PML schemes for the ADI-FDTD and CN-FDTD are demonstrated. It is found that the PML equations for ADI-FDTD method will be unstable due to the perturbation term.

KW - alternating direction implicit-finite-difference time-domain

KW - Crank-Nicolson FDTD

KW - perturbation term

KW - PML

KW - stability

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VL - 56

SP - 2637

EP - 2642

JO - Microwave and Optical Technology Letters

JF - Microwave and Optical Technology Letters

IS - 11

ER -

Stability analysis of the PML scheme for CN-FDTD and ADI-FDTD

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Keywords

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