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Resolution Enhancement in Terahertz Digital In-line Holography by Sparsity-Based Extrapolation

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Abstract

We introduce a generalized extrapolation framework as a constrained optimization problem to enhance the resolution in terahertz digital in-line holography. The alternating minimization method is employed to iteratively extrapolate the hologram beyond the actually detecting area and to reconstruct the complex amplitude distribution of the object wavefront. Within this framework, we propose a sparsity-based extrapolation model based on L1-norm, where the object mask is not required and the generalized positive absorption constraint can be utilized. This work can achieve super-resolution reconstruction completely by numerical postprocessing without any modification to the imaging system. Both the simulation and experiments on the terahertz band demonstrate the feasibility of the proposed algorithms, and the limit of resolution can be extended by a factor of 1.67.

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Funding

This work is supported by Sichuan Science and Technology Program (2020YJ0205) and National Natural Science Foundation of China (11804320).

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Authors and Affiliations

  1. Research Center of Laser Fusion, CAEP, Mianyang, 621900, China

    Zeyu Li, Qiang Yan, Yu Qin, Weipeng Kong, Mingrui Zou & Xun Zhou

  2. Microsystem & Terahertz Research Center, CAEP, Chengdu, 610200, China

    Zeyu Li, Qiang Yan, Yu Qin, Weipeng Kong, Mingrui Zou & Xun Zhou

  3. The National Key Laboratory of Fundamental Science on Synthetic Vision, Sichuan University, Chengdu, 610065, China

    Zhisheng You

  4. The School of Aeronautics and Astronautics, Sichuan University, Chengdu, 610065, China

    Zhisheng You & Peng Cheng

Authors
  1. Zeyu Li
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  2. Qiang Yan
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  3. Yu Qin
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  4. Weipeng Kong
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  5. Mingrui Zou
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  6. Xun Zhou
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  7. Zhisheng You
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  8. Peng Cheng
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Correspondence to Zeyu Li or Peng Cheng.

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Li, Z., Yan, Q., Qin, Y. et al. Resolution Enhancement in Terahertz Digital In-line Holography by Sparsity-Based Extrapolation. J Infrared Milli Terahz Waves 42, 479–492 (2021). https://doi.org/10.1007/s10762-021-00796-5

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  • DOI: https://doi.org/10.1007/s10762-021-00796-5

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