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R A Day, G Vajente, M Pichot du Mezeray

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
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    An accelerated convergence scheme significantly speeds up optical cavity simulations. This study optimizes the method for high-finesse cavities and complex configurations, improving performance and stability.

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    Area of Science:

    • Optics and Photonics
    • Computational Physics
    • Optical Engineering

    Background:

    • Fast Fourier Transform (FFT) simulations are crucial for analyzing optical cavities, but are slow for high-finesse systems.
    • Geometric imperfections and mirror aberrations significantly impact cavity field characteristics.
    • Existing simulation methods face limitations in speed and applicability to complex optical setups.

    Purpose of the Study:

    • To investigate and optimize an accelerated convergence scheme for optical cavity simulations.
    • To understand and address the limitations of the accelerated method, particularly in high-finesse cavities.
    • To formulate and validate the application of this accelerated method in multiple cavity configurations.

    Main Methods:

    • Utilized Fast Fourier Transform (FFT) simulation as a baseline for calculating resonant field power and spatial distribution.
    • Implemented and studied an accelerated convergence scheme to enhance simulation speed for high-finesse optical cavities.
    • Developed and analyzed a formulation for applying the accelerated method to multiple cavity configurations.

    Main Results:

    • Achieved orders of magnitude faster steady-state cavity field calculations using the accelerated convergence scheme.
    • Identified and mitigated factors that unpredictably affect the convergence rate of the accelerated method.
    • Successfully formulated and applied the optimized method to previously intractable multiple cavity configurations.

    Conclusions:

    • The optimized accelerated convergence method offers consistent performance and stability improvements for optical cavity simulations.
    • This enhanced method enables the simulation of complex optical configurations that were not feasible with traditional FFT approaches.
    • The study provides a robust framework for utilizing accelerated convergence in diverse optical cavity designs.