• Photonics Research
  • Vol. 12, Issue 5, 876 (2024)
Qiaozhi He1、2, Rongjun Shao1, Yuan Qu1、2, Linxian Liu1、3, Chunxu Ding1, and Jiamiao Yang1、2、*
Author Affiliations
  • 1School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2Institute of Marine Equipment, Shanghai Jiao Tong University, Shanghai 200240, China
  • 3School of Automation and Software Engineering, Shanxi University, Taiyuan 030006, China
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    DOI: 10.1364/PRJ.513519 Cite this Article Set citation alerts
    Qiaozhi He, Rongjun Shao, Yuan Qu, Linxian Liu, Chunxu Ding, Jiamiao Yang. Complex transmission matrix retrieval for a highly scattering medium via regional phase differentiation[J]. Photonics Research, 2024, 12(5): 876 Copy Citation Text show less

    Abstract

    Accurately measuring the complex transmission matrix (CTM) of the scattering medium (SM) holds critical significance for applications in anti-scattering optical imaging, phototherapy, and optical neural networks. Non-interferometric approaches, utilizing phase retrieval algorithms, can robustly extract the CTM from the speckle patterns formed by multiple probing fields traversing the SM. However, in cases where an amplitude-type spatial light modulator is employed for probing field modulation, the absence of phase control frequently results in the convergence towards a local optimum, undermining the measurement accuracy. Here, we propose a high-accuracy CTM retrieval (CTMR) approach based on regional phase differentiation (RPD). It incorporates a sequence of additional phase masks into the probing fields, imposing a priori constraints on the phase retrieval algorithms. By distinguishing the variance of speckle patterns produced by different phase masks, the RPD-CTMR can effectively direct the algorithm towards a solution that closely approximates the CTM of the SM. We built a prototype of a digital micromirror device modulated RPD-CTMR. By accurately measuring the CTM of diffusers, we achieved an enhancement in the peak-to-background ratio of anti-scattering focusing by a factor of 3.6, alongside a reduction in the bit error rate of anti-scattering image transmission by a factor of 24. Our proposed approach aims to facilitate precise modulation of scattered optical fields, thereby fostering advancements in diverse fields including high-resolution microscopy, biomedical optical imaging, and optical communications.
    XM×N=argminXM×Nk=1KIL×Mk|(PL×NΘL×Nk)XM×N*|.

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    Im=|n=1NxmnAnexp(jϕ)|.

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    Qiaozhi He, Rongjun Shao, Yuan Qu, Linxian Liu, Chunxu Ding, Jiamiao Yang. Complex transmission matrix retrieval for a highly scattering medium via regional phase differentiation[J]. Photonics Research, 2024, 12(5): 876
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