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Updated: Jun 13, 2026
12:18
Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
Published on: August 5, 2013
Summary
Phase conjugate optical resonators with hard-edged apertures do not exhibit unstable modes like conventional resonators. Numerical analysis reveals mode patterns are nearly Hermite-Gaussians, with scalable eigenvalues under specific conditions.
Area of Science:
- Optics and Photonics
- Computational Physics
Background:
- Phase conjugate optical resonators are crucial for advanced laser systems.
- Understanding higher-order modes is essential for resonator design and stability.
- Hard-edged apertures introduce diffraction effects that influence resonator modes.
Purpose of the Study:
- To investigate higher-order modes in phase conjugate optical resonators with hard-edged apertures.
- To determine if phase conjugate resonators exhibit an analog to conventional unstable resonators.
- To calculate resonator eigenvalues and phase matching parameters.
Main Methods:
- Numerical analysis utilizing the Prony algorithm.
- Calculation of mode patterns, eigenvalues, and phase matching parameters.
- Exploration of various resonator configurations and parameters.
Main Results:
- Mode patterns were found to be nearly Hermite-Gaussians, even in unstable configurations.
- No direct phase conjugate analog to conventional unstable resonators was identified.
- Eigenvalues and phase matching parameters demonstrated scalability by the ratio g/N under specific aperture conditions.
Conclusions:
- Phase conjugate resonators with hard-edged apertures behave differently from conventional unstable resonators.
- The Hermite-Gaussian nature of modes simplifies analysis in certain configurations.
- Scalability of key parameters offers insights for designing phase conjugate resonators with limiting apertures.
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