Maxwellian material based absorbing boundary conditions

Richard W. Ziolkowski

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


Absorbing boundary conditions (ABCs) for the finite-difference time-domain (FDTD) method are introduced which arise from surrounding the simulation space with lossy Maxwellian material layers. Generalizations of the standard Lorentz dispersion material model, the time-derivative and two-time-derivative Lorentz material models, are developed for this purpose. The advantages of this approach include the close connection of the ABCs with the actual absorber physics associated with Maxwell's equations, the avoidance of the field-equation splitting required by the Berenger PML layers, and reduced memory and operation counts. Several multi-dimensional cases are presented to quantify the efficacy of this Maxwellian material-based approach.

Original languageEnglish (US)
Pages (from-to)237-262
Number of pages26
JournalComputer Methods in Applied Mechanics and Engineering
Issue number3-4
StatePublished - Feb 12 1999
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


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