Accelerated convergence method for fast Fourier transform simulation of coupled cavities

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.