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Stable and efficient bloch-mode computational method for one-dimensional grating waveguides.

Qing Cao1, Philippe Lalanne, Jean-Paul Hugonin

  • 1Laboratoire Charles Fabry de l'Institut d'Optique, Centre National de la Recherche Scientifique, Orsa, France.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|February 2, 2002
PubMed
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We developed a stable and efficient Bloch-mode computation method for grating waveguides. This approach enhances accuracy for TE and TM polarizations using Fourier modal and S-matrix methods.

Area of Science:

  • Photonics and Waveguide Optics
  • Computational Electromagnetics

Background:

  • Grating waveguides are crucial optical components.
  • Accurate Bloch-mode computation is essential for their design.
  • Numerical instabilities can hinder precise modeling.

Purpose of the Study:

  • To present a stable and efficient method for Bloch-mode computation.
  • To address numerical instabilities in grating waveguide analysis.
  • To achieve high accuracy in modeling.

Main Methods:

  • Fourier Modal Method (FMM) for wave propagation.
  • S-matrix algorithm to manage numerical instabilities.
  • Perfectly Matched Layers (PMLs) for boundary conditions.

Main Results:

Related Experiment Videos

  • Demonstrated stability and efficiency in Bloch-mode computation.
  • Achieved high accuracy for lamellar grating waveguides.
  • Validated performance for both TE and TM polarizations.

Conclusions:

  • The presented method offers a robust solution for grating waveguide analysis.
  • It effectively overcomes common numerical challenges.
  • Enables accurate design and simulation of photonic devices.