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Perfectly matched layers as nonlinear coordinate transforms: a generalized formalization.

Jean Paul Hugonin1, Philippe Lalanne

  • 1Laboratoire Charles Fabry de l'Institut d'Optique, Centre National de la Recherche Scientifique, F-91403 Orsay cedex, France. Jean-Paul.Hugonin@iota.u-psud.fr

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|October 11, 2005
PubMed
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This study introduces modified Maxwell

Area of Science:

  • Electromagnetism
  • Computational Physics

Background:

  • Maxwell's equations are fundamental in electromagnetism.
  • Simulating electromagnetic waves in infinite domains requires special boundary conditions.

Purpose of the Study:

  • To present a modified formulation of Maxwell's equations.
  • To enable mapping infinite spaces to finite ones and implement effective absorbing boundaries.

Main Methods:

  • Incorporation of complex and nonlinear coordinate transforms into Maxwell's equations.
  • Development of graded perfectly matched absorbing boundaries.
  • Validation using Fourier-modal methods.

Main Results:

  • The modified equations allow for mapping infinite to finite spaces.

Related Experiment Videos

  • Effective graded perfectly matched absorbing boundaries are achieved.
  • Numerical results demonstrate enhanced convergence and accuracy.

    • Conclusions:

    • The modified Maxwell's equations offer a powerful approach for electromagnetic simulations.
    • This method improves the efficiency and accuracy of handling wave propagation in bounded domains.