• Chinese Optics Letters
  • Vol. 23, Issue 4, 041102 (2025)
Kang Liu1, Jia Wu1, Jing Cao2, Rusheng Zhuo1, Kun Li1, Xiaoxi Chen1, Qiang Zhou1、4、5, Pinghe Wang1、*, and Guohua Shi3、**
Author Affiliations
  • 1School of Optoelectronic Science and Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China
  • 2Key Laboratory of Biomedical Engineering of Hainan Province, School of Biomedical Engineering, Hainan University, Haikou 570228, China
  • 3Suzhou Institute of Biomedical Engineering and Technology, Chinese Academy of Sciences, Suzhou 215163, China
  • 4Research Center for Quantum Internet, Tianfu Jiangxi Laboratory, Chengdu 641419, China
  • 5Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China
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    DOI: 10.3788/COL202523.041102 Cite this Article Set citation alerts
    Kang Liu, Jia Wu, Jing Cao, Rusheng Zhuo, Kun Li, Xiaoxi Chen, Qiang Zhou, Pinghe Wang, Guohua Shi, "Compressed sensing reflection matrix optical coherent tomography," Chin. Opt. Lett. 23, 041102 (2025) Copy Citation Text show less

    Abstract

    The reflection matrix optical coherence tomography (RM-OCT) method has made significant progress in extending imaging depth within scattering media. However, the current method of measuring the reflection matrix (RM) through uniform sampling results in relatively long data collection time. This study demonstrates that the RM in scattering media exhibits sparsity. Consequently, a compressed sensing (CS)-based technique for measuring the RM is proposed and applied to RM-OCT images. Experimental results show that this method requires less than 50% of the traditional sampling data to recover target information within scattering media, thereby significantly reducing data acquisition time. These findings not only expand the theory of the RM but also provide a more efficient measurement approach. This advancement opens up broader applications for CS techniques in RM-OCT and holds great potential for improving imaging efficiency in scattering media.
    Y=A×RM,

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    minRMYA×RMF2+λi,jWi,j|RMi,j|.

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    Wi,j=exp(α|ij|),

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    minRM,ZYA×RMF2+λi,jWi,j|Zi,j|,

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    subject toZ=RM.

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    RM=UΣV*

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    Iss=i=1tσi|U¯i°V¯i|,

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    Ims=i=tnσi|U¯i°V¯i|,

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    Kang Liu, Jia Wu, Jing Cao, Rusheng Zhuo, Kun Li, Xiaoxi Chen, Qiang Zhou, Pinghe Wang, Guohua Shi, "Compressed sensing reflection matrix optical coherent tomography," Chin. Opt. Lett. 23, 041102 (2025)
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