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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...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6263427/ https://www.ncbi.nlm.nih.gov/pubmed/30453589 http://dx.doi.org/10.3390/s18114007 |
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author | Li, Qian Wu, Jiabin Chen, Yunshan Wang, Jingyuan Gao, Shijie Wu, Zhiyong |
author_facet | Li, Qian Wu, Jiabin Chen, Yunshan Wang, Jingyuan Gao, Shijie Wu, Zhiyong |
author_sort | Li, Qian |
collection | PubMed |
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. |
format | Online Article Text |
id | pubmed-6263427 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-62634272018-12-12 High Precision Position Measurement Method for Laguerre-Gaussian Beams Using a Quadrant Detector Li, Qian Wu, Jiabin Chen, Yunshan Wang, Jingyuan Gao, Shijie Wu, Zhiyong Sensors (Basel) Article 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. MDPI 2018-11-16 /pmc/articles/PMC6263427/ /pubmed/30453589 http://dx.doi.org/10.3390/s18114007 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Li, Qian Wu, Jiabin Chen, Yunshan Wang, Jingyuan Gao, Shijie Wu, Zhiyong High Precision Position Measurement Method for Laguerre-Gaussian Beams Using a Quadrant Detector |
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 | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6263427/ https://www.ncbi.nlm.nih.gov/pubmed/30453589 http://dx.doi.org/10.3390/s18114007 |
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