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

descriptionPublicationkeyboard_double_arrow_right Article 27 Aug 2014 English Publisher:WileyJournal:Microwave and Optical Technology Letters, volume 56, pages 2,637-2,642 (issn: 0895-2477, eissn: 1098-2760,

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Authors: Jiunn‐Nan Hwang; Fu‐Chiarng Chen;

doi: 10.1002/mop.28658

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

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Abstract

ABSTRACTThe 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. © 2014 Wiley Periodicals, Inc. Microwave Opt Technol Lett 56:2637–2642, 2014

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National Chiao Tung University
Taiwan
National Taiwan University of Arts
Taiwan

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