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Related Concept Videos

Electromagnetic Wave Equation01:24

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Related Experiment Video

Updated: Jun 22, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Efficient and spurious-free integral-equation-based optical waveguide mode solver.

Amit Hochman, Yehuda Leviatan

    Optics Express
    |June 25, 2009
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel matrix singularity measure to eliminate spurious solutions in waveguide modal analysis. The method enables efficient and reliable determination of true modes, even with degeneracies, for various optical waveguide structures.

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    Area of Science:

    • Electromagnetics and Optics
    • Computational Physics
    • Materials Science

    Background:

    • Modal analysis of optical waveguides using integral equation formulations is crucial for device design.
    • Spurious solutions can arise in these analyses, complicating accurate mode determination.

    Purpose of the Study:

    • To develop a robust method for eliminating spurious solutions in waveguide modal analysis.
    • To enable efficient and reliable identification of true waveguide modes, even in degenerate cases.

    Main Methods:

    • Introduction of a Rayleigh-quotient based matrix singularity measure to identify and remove spurious solutions.
    • Application of an adaptive search algorithm for efficient and reliable determination of true modes after spurious solution elimination.

    Main Results:

    • Demonstrated successful elimination of spurious solutions across various waveguide configurations.
    • Validated the method's efficacy on an elliptical dielectric waveguide, touching dielectric cylinders, a plasmonic waveguide, and a micro-structured optical fiber.

    Conclusions:

    • The proposed Rayleigh-quotient based singularity measure effectively removes spurious solutions in waveguide modal analysis.
    • The adaptive search algorithm provides efficient and reliable true mode determination, enhancing optical waveguide design and analysis.