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Generalized sensitivity factors for optical-axis perturbation in nonplanar ring resonators.
Dandan Wen1, Dong Li, Jianlin Zhao
1Shaanxi Key Laboratory of Optical Information Technology, Ministry of Education, School of Science, Northwestern Polytechnical University, Xi'an 710072, China.
Optics Express
|October 15, 2011
Summary
This study introduces new sensitivity factors for nonplanar ring resonators, identifying singular points and unsuitable regions for effective modes. These findings aid in optimizing resonator design and stability.
Area of Science:
- Optics and Photonics
- Laser Physics
- Optical Engineering
Background:
- Nonplanar ring resonators are crucial in laser systems but sensitive to mirror misalignments.
- Understanding optical axis perturbations is key to resonator stability and performance.
- Existing models may not fully capture the complex behavior of misaligned spherical mirrors in nonplanar configurations.
Purpose of the Study:
- To introduce novel sensitivity factors for analyzing spherical mirror displacements in nonplanar ring resonators.
- To develop a method for locating singular points of these sensitivity factors.
- To identify regions unsuitable for nonplanar ring resonators based on sensitivity analysis.
Main Methods:
- Utilized the generalized ray matrix for spherical mirror reflection.
- Introduced two new sensitivity factors accounting for radial and axial mirror displacements.
- Developed a novel approach to find the singular points of the sensitivity factors.
Main Results:
- Identified singular points in the sensitivity factors for certain nonplanar ring resonators with effective modes.
- Determined specific regions that are unsuitable for nonplanar ring resonator operation due to sensitivity issues.
- Quantified the impact of optical axis perturbation on resonator stability.
Conclusions:
- The presence of singular points in sensitivity factors indicates potential instability in nonplanar ring resonators.
- The identified unsuitable regions provide critical design constraints for stable resonator operation.
- This work offers a new perspective for analyzing and optimizing nonplanar ring resonator designs.
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