• 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
  • show less
    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
    References

    [1] S. Yoon, M. Kim, M. Jang et al. Deep optical imaging within complex scattering media. Nat. Rev. Phys., 2, 141(2020).

    [2] W. Denk, J. H. Strickler, W. W. Webb. Two-photon laser scanning fluorescence microscopy. Science, 248, 73(1990).

    [3] L. Li, L. V. Wang. Optical coherence computed tomography. Appl. Phys. Lett., 91, 141107(2007).

    [4] J. Wang. Data information transfer using complex optical fields: a review and perspective (Invited Paper). Chin. Opt. Lett., 15, 030005(2017).

    [5] D. Huang, E. A. Swanson, C. P. Lin et al. Optical coherence tomography. Science, 254, 1178(1991).

    [6] J. G. Fujimoto. Optical coherence tomography for ultrahigh resolution in vivo imaging. Nat. Biotechnol., 21, 1361(2003).

    [7] F. E. Robles, C. Wilson, G. Grant et al. Molecular imaging true-colour spectroscopic optical coherence tomography. Nat. Photonics, 5, 744(2011).

    [8] W. Wei, A. Cogliati, C. Canavesi. Model-based optical coherence tomography angiography enables motion-insensitive vascular imaging. Biomed. Opt. Express, 12, 2149(2021).

    [9] T. R. Hillman, A. Curatolo, B. F. Kennedy et al. Detection of multiple scattering in optical coherence tomography by speckle correlation of angle-dependent B-scans. Opt. Lett., 35, 1998(2010).

    [10] M. Adhi, J. S. Duker. Optical coherence tomography–current and future applications. Curr. Opin. Ophthalmol., 24, 213(2013).

    [11] K. Deng, Q. Chen, Y. Bai et al. Compact long-working-distance laser-diode-based photoacoustic microscopy with a reflective objective. Chin. Opt. Lett., 19, 071701(2021).

    [12] A. Badon, D. Li, G. Lerosey et al. Smart optical coherence tomography for ultra-deep imaging through highly scattering media. Sci. Adv., 2, e1600370(2016).

    [13] Q. Yang, Y. Miao, T. Huo et al. Deep imaging in highly scattering media by combining reflection matrix measurement with Bessel-like beam based optical coherence tomography. Appl. Phys. Lett., 113, 011106(2018).

    [14] S. M. Popoff, G. Lerosey, R. Carminati et al. Measuring the transmission matrix in optics: an approach to the study and control of light propagation in disordered media. Phys. Rev. Lett., 104, 100601(2010).

    [15] A. Badon, D. Li, G. Lerosey et al. Spatio-temporal imaging of light transport in highly scattering media under white light illumination. Optica, 3, 1160(2016).

    [16] J. Cao, Q. Yang, Y. Miao et al. Enhance the delivery of light energy ultra-deep into turbid medium by controlling multiple scattering photons to travel in open channels. Light Sci. Appl., 11, 108(2022).

    [17] J. Cao, Q. Yang, Y. Miao et al. High-speed wavefront determination method based on single in-and-out electric field analysis to focus light through highly scattering medium. APL Photonics, 6, 036107(2021).

    [18] Q. Yang, J. Cao, Y. Miao et al. Extended imaging depth of en-face optical coherence tomography based on fast measurement of a reflection matrix by wide-field heterodyne detection. Opt. Lett., 45, 828(2020).

    [19] M. Kim, Y. Choi, C. Yoon et al. Maximal energy transport through disordered media with the implementation of transmission eigenchannels. Nat. Photonics, 6, 581(2012).

    [20] H. Lee, S. Yoon, P. Loohuis et al. High-throughput volumetric adaptive optical imaging using compressed time-reversal matrix. Light Sci. Appl., 11, 16(2022).

    [21] M. Kim, Y. Jo, J. H. Hong et al. Label-free neuroimaging in vivo using synchronous angular scanning microscopy with single-scattering accumulation algorithm. Nat. Commun., 10, 3152(2019).

    [22] Y. Zhang, C. Wang, S. Tong et al. Separating single-and multiple-scattering components in laser speckle contrast imaging of tissue blood flow. Biomed. Opt. Express, 13, 2881(2022).

    [23] P. Wojtaszczyk. Stability and instance optimality for Gaussian measurements in compressed sensing. Found. Comput. Math., 10, 1(2010).

    [24] E. J. Candès, J. Romberg, T. Tao. Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inf. Theory, 52, 489(2006).

    [25] M. Lustig, D. Donoho, J. M. Pauly. Sparse MRI: the application of compressed sensing for rapid MR imaging. Magn. Reson. Med., 58, 1182(2007).

    [26] Z. Guo, C. Li, L. Song et al. Compressed sensing in photoacoustic tomography in vivo. J. Biomed. Opt., 15, 021311(2010).

    [27] N. Zhang, T. Huo, C. Wang et al. Compressed sensing for optical coherence tomography with super-resolution imaging. Opt. Lett., 37, 1424(2012).

    [28] X. Liu, J. U. Kang. Compressive SD-OCT: the application of compressed sensing in spectral domain optical coherence tomography. Opt. Express, 18, 22010(2010).

    [29] D. Xu, N. Vaswani, Y. Huang et al. Modified compressive sensing optical coherence tomography with noise reduction. Opt. Lett., 37, 4209(2012).

    [30] W. Liao, J. Hsieh, C. Wang et al. Compressed sensing spectral domain optical coherence tomography with a hardware sparse-sampled camera. Opt. Lett., 44, 2955(2019).

    [31] D. Xu, Y. Huang, J. U. Kang. Real-time compressive sensing spectral domain optical coherence tomography. Opt. Lett., 39, 76(2013).

    [32] J. Luo, Y. Fan, H. Zhou et al. Fabrication of different fine fiber tips for near field scanning optical microscopy by a simple chemical etching technique. Chin. Opt. Lett., 5, S232(2007).

    [33] H. Li, Z. Yu, Q. Zhao et al. Learning-based super-resolution interpolation for sub-Nyquist sampled laser speckles. Photonics Research, 11, 631(2023).

    [34] Z. Yu, H. Li, T. Zhong et al. Wavefront shaping: a versatile tool to conquer multiple scattering in multidisciplinary fields. Innovation, 3, 100292(2022).

    [35] L. Yang, T Han, J. Meng et al. Optimized number of the primary singular values for image reconstruction in reflection matrix based optical coherence tomography. Opt. Express, 30, 2680(2022).

    [36] S. Popoff, G. Lerosey, M. Fink et al. Image transmission through an opaque material. Nat. Commun., 1, 81(2010).

    [37] Y. Yang, B. S. Kang, Y. J. Choo. Application of the correlation coefficient method for determination of the focal plane to digital particle holography. Appl. Opt., 47, 817(2008).

    [38] Y. Zhang, X. Li, G. Zhao et al. Signal reconstruction of compressed sensing based on alternating direction method of multipliers. Circuits Syst. Signal Process., 39, 307(2020).

    [39] S. Chen, H. Du, L. Wu et al. Compressed sensing MRI via fast linearized preconditioned alternating direction method of multipliers. Biomed. Eng. Online, 16, 1(2017).

    [40] Z. Liu, S. Yu. Alternating direction method of multipliers based on ℓ2,0-norm for multiple measurement vector problem. IEEE Trans. Signal Process., 71, 3490(2023).

    [41] R. Heckel, M. Soltanolkotabi. Compressive sensing with un-trained neural networks: Gradient descent finds a smooth approximation. International Conference on Machine Learning, 4058(2020).

    [42] J. Li, W. Cui, X. Zhang. Projected gradient descent for spectral compressed sensing via symmetric Hankel factorization. IEEE Trans. Signal Process., 72, 1590(2024).

    [43] Y. Liu, Z. Zhan, J. F. Cai et al. Projected iterative soft-thresholding algorithm for tight frames in compressed sensing magnetic resonance imaging. IEEE Trans. Med. Imaging, 35, 2130(2016).

    [44] H. Wang, S. Yang, Y. Liu et al. Compressive sensing reconstruction for rolling bearing vibration signal based on improved iterative soft thresholding algorithm. Measurement, 210, 112528(2023).

    [45] Y. Zhang, X. Li, G. Zhao et al. Signal reconstruction of compressed sensing based on alternating direction method of multipliers. Circuits Syst. Signal Process., 39, 307(2020).

    [46] T. Van Chien, K. Q. Dinh, B. Jeon et al. Block compressive sensing of image and video with nonlocal Lagrangian multiplier and patch-based sparse representation. Signal Process. Image Commun., 54, 93(2017).

    [47] X. Zhu, L. Lu, Z. Cao et al. Transmission matrix-based electric field Monte Carlo study and experimental validation of the propagation characteristics of Bessel beams in turbid media. Opt. Lett., 43, 4835(2018).

    [48] P. Miao, Y. Zhang, C. Wang et al. Random matrix description of dynamically backscattered coherent waves propagating in a wide-field-illuminated random medium. Appl. Phys. Lett., 120(2022).

    [49] Y. Wang, P. Li, C. Jiang et al. GPU accelerated electric field Monte Carlo simulation of light propagation in turbid media using a finite-size beam model. Opt. Express, 20, 16618(2012).

    [50] Q. Zhao, L. Chen, X. Hu et al. Sub-diffraction-limit imaging with a transmission matrix in disordered media. Opt. Lett., 41, 2118(2016).

    [51] J. Dai, Y. Xu, F. Zhang et al. Novel imaging method based on spatially varying transmission matrices for enhanced resolution in complex scattering media. Biomed. Opt. Express, 12, 4130(2021).

    [52] L. Zhang, Y. Huang, X. Li et al. High-resolution optical imaging through scattering media with a dual-polarization approach. Sci. Rep., 12, 8914(2022).

    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)
    Download Citation