Fully vectorial modeling of cylindrical microresonators with aperiodic Fourier modal method

Area of Science:

• Optics and Photonics
• Computational Electromagnetics
• Nanophotonics

Background:

• Cylindrical resonators are crucial in photonics for applications like lasers and filters.
• Accurate modeling of whispering-gallery modes is essential for resonator design.
• Existing methods may face limitations in efficiency or accuracy for fully vectorial analysis.

Purpose of the Study:

• To introduce a novel, fully vectorial modeling approach for cylindrical resonators.
• To enable efficient and accurate calculation of key resonator parameters.
• To validate the method using established resonator types.

Main Methods:

• Development of an aperiodic Fourier modal method (AFMM) for vectorial modeling.
• Application of AFMM to rotationally symmetric resonators.
• Numerical simulation and convergence analysis.

Main Results:

• The AFMM provides efficient and accurate calculations of resonant wavelength.
• The method accurately determines the quality factor of resonators.
• Full-field calculations for whispering-gallery modes are achieved.
• Validation through converged results for microdisk and microring resonators.

Conclusions:

• The proposed AFMM is a valid and efficient technique for modeling cylindrical resonators.
• This approach offers a powerful tool for the design and analysis of photonic devices.
• The method demonstrates superior performance compared to other existing approaches.