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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...

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Detalles Bibliográficos
Autores principales: Li, Qian, Wu, Jiabin, Chen, Yunshan, Wang, Jingyuan, Gao, Shijie, Wu, Zhiyong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
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.
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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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