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Efficient algorithm for scalar to full-vectorial mode conversion in optical waveguides.

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    A new algorithm computes full-vectorial modes for optical waveguides using adiabatic perturbation theory. This method avoids computationally intensive eigenvalue calculations, offering high accuracy with significantly reduced computational cost for diverse waveguide structures.

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    Area of Science:

    • Photonics and Optical Engineering
    • Computational Electromagnetics

    Background:

    • Optical waveguides are essential for light manipulation, possessing eigenmodes and eigenvalues.
    • Full-vectorial modes provide comprehensive modal information, crucial for high-index contrast waveguides.
    • Conventional methods for computing these modes are computationally expensive, especially for large waveguide cross-sections.

    Purpose of the Study:

    • To develop a computationally efficient algorithm for calculating full-vectorial eigenmodes and eigenvalues of optical waveguides.
    • To overcome the limitations of traditional eigenvalue computation methods in terms of time and resources.

    Main Methods:

    • A novel algorithm based on adiabatic perturbation theory is proposed.
    • The method utilizes pre-computed scalar modes as a starting point.
    • It incorporates the effects of the index profile gradient to derive full-vectorial modes without additional eigenvalue computations.

    Main Results:

    • The proposed adiabatic perturbation theory-based algorithm accurately computes full-vectorial modes and propagation constants.
    • The method demonstrates high accuracy for both weak and strong index contrast optical waveguides.
    • Ultra-low computational cost is achieved compared to conventional techniques.

    Conclusions:

    • The new algorithm offers a highly efficient and accurate approach for full-vectorial mode computation in optical waveguides.
    • This method significantly reduces computational burden, making it suitable for complex waveguide designs.
    • It provides a valuable tool for photonic device design and analysis.