Coherent Matrix-Based Approach for Evaluation of First-Order Speckle Intensity Statistics and Its Application for Speckle Suppression
The existing approach for evaluating the statistical characteristics of speckle intensity distribution is applicable only to completely decorrelated laser beams. In the current study, a theoretical method based on a coherent matrix is developed for evaluating the first-order speckle statistics of pa...
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IEEE
2022-01-01
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Series: | IEEE Photonics Journal |
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Online Access: | https://ieeexplore.ieee.org/document/9757869/ |
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author | Qiyong Xu Anatoliy Lapchuk Zichun Le Di Cai Jun Zhou Zongshen Liu Ivan Gorbov Andriy Kryuchyn |
author_facet | Qiyong Xu Anatoliy Lapchuk Zichun Le Di Cai Jun Zhou Zongshen Liu Ivan Gorbov Andriy Kryuchyn |
author_sort | Qiyong Xu |
collection | DOAJ |
description | The existing approach for evaluating the statistical characteristics of speckle intensity distribution is applicable only to completely decorrelated laser beams. In the current study, a theoretical method based on a coherent matrix is developed for evaluating the first-order speckle statistics of partially correlated beams. A rigorous analytical formula for the calculation of speckle contrast is obtained based on the proposed coherent matrix method. Subsequently, an approximate analysis model of the speckle intensity distribution in a laser spot illuminated by partially correlated beams is proposed. The simulation results show that the accuracy of the approximate analysis model increases with the number of beams and is acceptable for practical application, even for a small number of beams. Applications of the proposed method are presented for analyzing two different optical schemes for speckle suppression. It is shown that the developed theoretical method is straightforward and effective for the analysis of light intensity statistics of laser spots illuminated by partially correlated beams. Therefore, the developed method can be easily generalized to imaging systems with partially correlated laser beams for evaluating the speckle intensity statistics. |
first_indexed | 2024-04-14T05:47:48Z |
format | Article |
id | doaj.art-a39808cdd2e9494a8a77fdfc680127a1 |
institution | Directory Open Access Journal |
issn | 1943-0655 |
language | English |
last_indexed | 2024-04-14T05:47:48Z |
publishDate | 2022-01-01 |
publisher | IEEE |
record_format | Article |
series | IEEE Photonics Journal |
spelling | doaj.art-a39808cdd2e9494a8a77fdfc680127a12022-12-22T02:09:13ZengIEEEIEEE Photonics Journal1943-06552022-01-011431910.1109/JPHOT.2022.31674529757869Coherent Matrix-Based Approach for Evaluation of First-Order Speckle Intensity Statistics and Its Application for Speckle SuppressionQiyong Xu0Anatoliy Lapchuk1https://orcid.org/0000-0002-6577-0984Zichun Le2https://orcid.org/0000-0002-9745-8565Di Cai3Jun Zhou4https://orcid.org/0000-0001-6988-683XZongshen Liu5https://orcid.org/0000-0002-9456-5349Ivan Gorbov6Andriy Kryuchyn7College of Science, Zhejiang University of Technology, Hangzhou, ChinaInstitute for Information Recording of NAS of Ukraine, Kiev, UkraineCollege of Science, Zhejiang University of Technology, Hangzhou, ChinaCollege of Science, Zhejiang University of Technology, Hangzhou, ChinaCollege of Science, Zhejiang University of Technology, Hangzhou, ChinaCollege of Science, Zhejiang University of Technology, Hangzhou, ChinaInstitute for Information Recording of NAS of Ukraine, Kiev, UkraineInstitute for Information Recording of NAS of Ukraine, Kiev, UkraineThe existing approach for evaluating the statistical characteristics of speckle intensity distribution is applicable only to completely decorrelated laser beams. In the current study, a theoretical method based on a coherent matrix is developed for evaluating the first-order speckle statistics of partially correlated beams. A rigorous analytical formula for the calculation of speckle contrast is obtained based on the proposed coherent matrix method. Subsequently, an approximate analysis model of the speckle intensity distribution in a laser spot illuminated by partially correlated beams is proposed. The simulation results show that the accuracy of the approximate analysis model increases with the number of beams and is acceptable for practical application, even for a small number of beams. Applications of the proposed method are presented for analyzing two different optical schemes for speckle suppression. It is shown that the developed theoretical method is straightforward and effective for the analysis of light intensity statistics of laser spots illuminated by partially correlated beams. Therefore, the developed method can be easily generalized to imaging systems with partially correlated laser beams for evaluating the speckle intensity statistics.https://ieeexplore.ieee.org/document/9757869/Coherent matrixfirst-order speckle intensity statisticshadamard matrixpartially correlated laser beams |
spellingShingle | Qiyong Xu Anatoliy Lapchuk Zichun Le Di Cai Jun Zhou Zongshen Liu Ivan Gorbov Andriy Kryuchyn Coherent Matrix-Based Approach for Evaluation of First-Order Speckle Intensity Statistics and Its Application for Speckle Suppression IEEE Photonics Journal Coherent matrix first-order speckle intensity statistics hadamard matrix partially correlated laser beams |
title | Coherent Matrix-Based Approach for Evaluation of First-Order Speckle Intensity Statistics and Its Application for Speckle Suppression |
title_full | Coherent Matrix-Based Approach for Evaluation of First-Order Speckle Intensity Statistics and Its Application for Speckle Suppression |
title_fullStr | Coherent Matrix-Based Approach for Evaluation of First-Order Speckle Intensity Statistics and Its Application for Speckle Suppression |
title_full_unstemmed | Coherent Matrix-Based Approach for Evaluation of First-Order Speckle Intensity Statistics and Its Application for Speckle Suppression |
title_short | Coherent Matrix-Based Approach for Evaluation of First-Order Speckle Intensity Statistics and Its Application for Speckle Suppression |
title_sort | coherent matrix based approach for evaluation of first order speckle intensity statistics and its application for speckle suppression |
topic | Coherent matrix first-order speckle intensity statistics hadamard matrix partially correlated laser beams |
url | https://ieeexplore.ieee.org/document/9757869/ |
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