High Precision Position Measurement Method for Laguerre-Gaussian Beams Using a Quadrant Detector
In this paper, we propose a new method to improve the position measurement accuracy for Laguerre-Gaussian beams on a quadrant detector (QD). First, the error effects of the detector diameter and the gap size are taken into account, and the position error compensation factor is introduced into the co...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-11-01
|
| Series: | Sensors |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1424-8220/18/11/4007 |
| _version_ | 1811308285835345920 |
|---|---|
| author | Qian Li Jiabin Wu Yunshan Chen Jingyuan Wang Shijie Gao Zhiyong Wu |
| author_facet | Qian Li Jiabin Wu Yunshan Chen Jingyuan Wang Shijie Gao Zhiyong Wu |
| author_sort | Qian Li |
| collection | DOAJ |
| description | In this paper, we propose a new method to improve the position measurement accuracy for Laguerre-Gaussian beams on a quadrant detector (QD). First, the error effects of the detector diameter and the gap size are taken into account, and the position error compensation factor is introduced into the conventional formula. Then, in order to reduce the number of parameters, the concept of effective radius is proposed. Thus, a new analytical expression is obtained with a best fit using the least square method. It is verified by simulation that this approach can reduce the maximum error by 97.4% when the beam radius is 0.95 mm; meanwhile, the root mean square errors under different radii are all less than 0.004 mm. The results of simulation show that the new method could effectively improve the accuracy of the QD measurement for different radii. Therefore, the new method would have a good prospect in the engineering practice of beam position measurements. |
| first_indexed | 2024-04-13T09:20:27Z |
| format | Article |
| id | doaj.art-dd272f6506ce4c509bad94814864f845 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-13T09:20:27Z |
| publishDate | 2018-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-dd272f6506ce4c509bad94814864f8452022-12-22T02:52:38ZengMDPI AGSensors1424-82202018-11-011811400710.3390/s18114007s18114007High Precision Position Measurement Method for Laguerre-Gaussian Beams Using a Quadrant DetectorQian Li0Jiabin Wu1Yunshan Chen2Jingyuan Wang3Shijie Gao4Zhiyong Wu5Changchun 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, ChinaIn this paper, we propose a new method to improve the position measurement accuracy for Laguerre-Gaussian beams on a quadrant detector (QD). First, the error effects of the detector diameter and the gap size are taken into account, and the position error compensation factor is introduced into the conventional formula. Then, in order to reduce the number of parameters, the concept of effective radius is proposed. Thus, a new analytical expression is obtained with a best fit using the least square method. It is verified by simulation that this approach can reduce the maximum error by 97.4% when the beam radius is 0.95 mm; meanwhile, the root mean square errors under different radii are all less than 0.004 mm. The results of simulation show that the new method could effectively improve the accuracy of the QD measurement for different radii. Therefore, the new method would have a good prospect in the engineering practice of beam position measurements.https://www.mdpi.com/1424-8220/18/11/4007position measurement methodquadrant detectorLaguerre-Gaussian beamsleast square methodeffective radiusdetection |
| spellingShingle | Qian Li Jiabin Wu Yunshan Chen Jingyuan Wang Shijie Gao Zhiyong Wu High Precision Position Measurement Method for Laguerre-Gaussian Beams Using a Quadrant Detector Sensors position measurement method quadrant detector Laguerre-Gaussian beams least square method effective radius detection |
| title | High Precision Position Measurement Method for Laguerre-Gaussian Beams Using a Quadrant Detector |
| title_full | High Precision Position Measurement Method for Laguerre-Gaussian Beams Using a Quadrant Detector |
| title_fullStr | High Precision Position Measurement Method for Laguerre-Gaussian Beams Using a Quadrant Detector |
| title_full_unstemmed | High Precision Position Measurement Method for Laguerre-Gaussian Beams Using a Quadrant Detector |
| title_short | High Precision Position Measurement Method for Laguerre-Gaussian Beams Using a Quadrant Detector |
| title_sort | high precision position measurement method for laguerre gaussian beams using a quadrant detector |
| topic | position measurement method quadrant detector Laguerre-Gaussian beams least square method effective radius detection |
| url | https://www.mdpi.com/1424-8220/18/11/4007 |
| work_keys_str_mv | AT qianli highprecisionpositionmeasurementmethodforlaguerregaussianbeamsusingaquadrantdetector AT jiabinwu highprecisionpositionmeasurementmethodforlaguerregaussianbeamsusingaquadrantdetector AT yunshanchen highprecisionpositionmeasurementmethodforlaguerregaussianbeamsusingaquadrantdetector AT jingyuanwang highprecisionpositionmeasurementmethodforlaguerregaussianbeamsusingaquadrantdetector AT shijiegao highprecisionpositionmeasurementmethodforlaguerregaussianbeamsusingaquadrantdetector AT zhiyongwu highprecisionpositionmeasurementmethodforlaguerregaussianbeamsusingaquadrantdetector |