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Full vectorial mode solver based on the non-Hermitian adiabatic perturbation method.

Junhe Zhou, Yuekai Zhang, Chengwen Huang

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    This study introduces an efficient optical waveguide mode solver using non-Hermitian adiabatic perturbation theory. The method significantly reduces computation time while maintaining high accuracy for various waveguide structures.

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    Area of Science:

    • Photonics and Waveguide Engineering
    • Computational Electromagnetics

    Background:

    • Calculating optical waveguide modes requires significant computational resources.
    • Existing methods for full vectorial mode solving are computationally intensive.

    Purpose of the Study:

    • To develop a computationally efficient and accurate full vectorial mode solver for optical waveguides.
    • To leverage non-Hermitian adiabatic perturbation theory for mode analysis.

    Main Methods:

    • A novel full vectorial mode solver integrating a scalar mode solver with non-Hermitian adiabatic perturbation theory.
    • The method incorporates waveguide index gradients and modal non-orthogonality during mode conversion.

    Main Results:

    • The proposed solver reduces computational time by approximately 75% compared to conventional methods.
    • High accuracy was demonstrated across low/high index contrast and large/small cross-section waveguides.
    • Effective index discrepancies were minimal, below 4e-9 for weakly guided and 0.17 for strongly guided waveguides.

    Conclusions:

    • The non-Hermitian adiabatic perturbation method offers a significant speed-up for optical waveguide analysis.
    • The method is accurate and versatile for diverse waveguide designs.
    • Potential applications extend to other non-Hermitian eigenmode problems.