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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Main Authors: Qiyong Xu, Anatoliy Lapchuk, Zichun Le, Di Cai, Jun Zhou, Zongshen Liu, Ivan Gorbov, Andriy Kryuchyn
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Photonics Journal
Subjects:
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.
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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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AT andriykryuchyn coherentmatrixbasedapproachforevaluationoffirstorderspeckleintensitystatisticsanditsapplicationforspecklesuppression