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Fourier-modal methods applied to waveguide computational problems.

P Lalanne, E Silberstein

    Optics Letters
    |December 8, 2007
    PubMed
    Summary
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    Rigorous coupled-wave analysis, a method for grating diffraction, can be modified for aperiodic problems. This extends its use to photonic crystal waveguides, Bragg mirrors, and grating couplers.

    Area of Science:

    • Optics and Photonics
    • Computational Electromagnetics

    Background:

    • Rigorous coupled-wave analysis (RCWA) is a standard numerical technique for analyzing diffraction gratings.
    • Existing methods may be computationally intensive or limited in scope for complex structures.

    Purpose of the Study:

    • To demonstrate the adaptability of RCWA for aperiodic diffraction problems.
    • To extend the applicability of grating theories to new optical device designs.

    Main Methods:

    • Modification of the standard rigorous coupled-wave analysis (Fourier-modal method).
    • Application of the modified RCWA to simulate aperiodic structures.

    Main Results:

    • The modified RCWA efficiently analyzes aperiodic diffraction problems.

    Related Experiment Videos

  • Successful application to photonic crystal waveguides, Bragg mirrors, and grating couplers.

    • Conclusions:

    • RCWA is a versatile tool beyond periodic gratings.
    • This extension broadens the scope of grating theories for advanced optical device simulation.