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

Jiunn Nan Hwang, Fu-Chiarng Chen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)2637-2642
Number of pages6
JournalMicrowave and Optical Technology Letters
Issue number11
StatePublished - 1 Jan 2014


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


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