Fast High-Resolution Phase Diversity Wavefront Sensing with L-BFGS Algorithm
The presence of manufacture error in large mirrors introduces high-order aberrations, which can severely influence the intensity distribution of point spread function. Therefore, high-resolution phase diversity wavefront sensing is usually needed. However, high-resolution phase diversity wavefront s...
| Main Authors: | , , , , , , |
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| Format: | Article |
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MDPI AG
2023-05-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/23/10/4966 |
| _version_ | 1797598290927157248 |
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| author | Haoyuan Zhang Guohao Ju Liang Guo Boqian Xu Xiaoquan Bai Fengyi Jiang Shuyan Xu |
| author_facet | Haoyuan Zhang Guohao Ju Liang Guo Boqian Xu Xiaoquan Bai Fengyi Jiang Shuyan Xu |
| author_sort | Haoyuan Zhang |
| collection | DOAJ |
| description | The presence of manufacture error in large mirrors introduces high-order aberrations, which can severely influence the intensity distribution of point spread function. Therefore, high-resolution phase diversity wavefront sensing is usually needed. However, high-resolution phase diversity wavefront sensing is restricted with the problem of low efficiency and stagnation. This paper proposes a fast high-resolution phase diversity method with limited memory Broyden–Fletcher–Goldfarb–Shanno (L-BFGS) algorithm, which can accurately detect aberrations in the presence of high-order aberrations. An analytical gradient of the objective function for phase-diversity is integrated into the framework of the L-BFGS nonlinear optimization algorithm. L-BFGS algorithm is specifically suitable for high-resolution wavefront sensing where a large phase matrix is optimized. The performance of phase diversity with L-BFGS is compared to other iterative method through simulations and a real experiment. This work contributes to fast high-resolution image-based wavefront sensing with a high robustness. |
| first_indexed | 2024-03-11T03:20:19Z |
| format | Article |
| id | doaj.art-5bcf2a0cb3b1489cb578561a641b90ac |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-11T03:20:19Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-5bcf2a0cb3b1489cb578561a641b90ac2023-11-18T03:15:19ZengMDPI AGSensors1424-82202023-05-012310496610.3390/s23104966Fast High-Resolution Phase Diversity Wavefront Sensing with L-BFGS AlgorithmHaoyuan Zhang0Guohao Ju1Liang Guo2Boqian Xu3Xiaoquan Bai4Fengyi Jiang5Shuyan Xu6Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaThe presence of manufacture error in large mirrors introduces high-order aberrations, which can severely influence the intensity distribution of point spread function. Therefore, high-resolution phase diversity wavefront sensing is usually needed. However, high-resolution phase diversity wavefront sensing is restricted with the problem of low efficiency and stagnation. This paper proposes a fast high-resolution phase diversity method with limited memory Broyden–Fletcher–Goldfarb–Shanno (L-BFGS) algorithm, which can accurately detect aberrations in the presence of high-order aberrations. An analytical gradient of the objective function for phase-diversity is integrated into the framework of the L-BFGS nonlinear optimization algorithm. L-BFGS algorithm is specifically suitable for high-resolution wavefront sensing where a large phase matrix is optimized. The performance of phase diversity with L-BFGS is compared to other iterative method through simulations and a real experiment. This work contributes to fast high-resolution image-based wavefront sensing with a high robustness.https://www.mdpi.com/1424-8220/23/10/4966active opticsphase diversityL-BFGS |
| spellingShingle | Haoyuan Zhang Guohao Ju Liang Guo Boqian Xu Xiaoquan Bai Fengyi Jiang Shuyan Xu Fast High-Resolution Phase Diversity Wavefront Sensing with L-BFGS Algorithm Sensors active optics phase diversity L-BFGS |
| title | Fast High-Resolution Phase Diversity Wavefront Sensing with L-BFGS Algorithm |
| title_full | Fast High-Resolution Phase Diversity Wavefront Sensing with L-BFGS Algorithm |
| title_fullStr | Fast High-Resolution Phase Diversity Wavefront Sensing with L-BFGS Algorithm |
| title_full_unstemmed | Fast High-Resolution Phase Diversity Wavefront Sensing with L-BFGS Algorithm |
| title_short | Fast High-Resolution Phase Diversity Wavefront Sensing with L-BFGS Algorithm |
| title_sort | fast high resolution phase diversity wavefront sensing with l bfgs algorithm |
| topic | active optics phase diversity L-BFGS |
| url | https://www.mdpi.com/1424-8220/23/10/4966 |
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