Maxwellian materialbased absorbing boundary conditions for lossy media in 3D

David C. Wittwer, Richard W Ziolkowski

Research output: Contribution to journalArticle

5 Scopus citations


A two timederivative Lorentz material (2TDLM) which has been shown previously to be the correct Maxwellian medium choice to match an absorbing layer to a lossy region is extended here to a complete absorbing boundary condition (ABC) for threedimensional (3D) finitedifference timedomain (FDTD) simulators. The implementation of the lossy 2TDLM (L2TDLM) ABC is presented. It is shown that in contrast to the onedimensional (1D) and twodimensional (2D) versions the full 3D ABC requires a three timederivative Lorentz material in the edge and corner regions to achieve a rigorous matching of the resulting Maxwellian absorbing layer to the lossy medium. The 3D ABC implementation thus requires the introduction of an auxiliary field to handle the edge and corner regions to achieve a statespace form of the update equations in the ABC layers. Fully 3D examples including pulsed dipole radiation and pulsed Gaussian beam propagation in lossless and lossy materials as well as pulse propagation along a microstrip over lossless and lossy materials are included to illustrate the effectiveness of the L2TDLM ABC.

Original languageEnglish (US)
Pages (from-to)200213
Number of pages1
JournalIEEE Transactions on Antennas and Propagation
Issue number2
Publication statusPublished - Feb 2000



  • Lossy media
  • Perfectly matched layers

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Networks and Communications

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