Laser & Optoelectronics Progress, Volume. 62, Issue 15, 1505001(2025)

Wavefront Reconstruction Based on 2D Grating Talbot Effect Using QR Decomposition with Column Pivoting

Haoren Zhang1,2,3 and Changwei Li1,2,3、*
Author Affiliations
  • 1Nanjing Institute of Astronomical Optics & Technology, Chinese Academy of Sciences, Nanjing 210042, Jiangsu , China
  • 2Key Laboratory of Astronomical Optics & Technology, Chinese Academy of Sciences, Nanjing Institute of Astronomical Optics & Technology, Nanjing 210042, Jiangsu , China
  • 3School of Astronomy and Space Science, Chinese Academy of Sciences, Beijing 100049, China
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    Figures & Tables(8)
    Schematic diagram of Talbot effect wavefront sensor
    Flow chart of wavefront slope extraction
    Flow chart of the QRCP algorithm to compress the data volume of Zernike equation
    Schematic diagram of the Zernike matrix compression using QRCP algorithm twice
    Single Zernike polynomial 5th wavefront reconstruction results. (a) Wavefront input; (b) reconstruction result of principal component slope extracted by QRCP algorithm; (c) residual error of reconstruction result of principal component slope extracted by QRCP algorithm; (d) reconstruction result from overall wavefront slope data; (e) residual error of the reconstruction result from overall wavefront slope data
    Simulation result of Talbot effect and its input wavefront. (a) Talbot effect self-imaging result; (b) input wavefront composed by the first 65-term Zernike polynomials
    Reconstruction data and wavefront reconstruction results. (a)(b) Wavefront slope extracted by wavefront sensor based on Talbot effect; (c) wavefront reconstructed from overall slope data; (d) error of the wavefront reconstructed from overall slope data; (e)(f) location of the chunk using QRCP; (g) wavefront reconstructed from pivot data; (h) error of the wavefront reconstructed from pivot data
    Reconstructed data retained after out-of-order and wavefront reconstruction results. (a)(b) Location of the chunk retained after shuffling the priority of the pivots; (c) wavefront reconstructed from out-of-order data; (d) error of the wavefront reconstructed from out-of-order data
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    Haoren Zhang, Changwei Li. Wavefront Reconstruction Based on 2D Grating Talbot Effect Using QR Decomposition with Column Pivoting[J]. Laser & Optoelectronics Progress, 2025, 62(15): 1505001

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    Paper Information

    Category: Diffraction and Gratings

    Received: Nov. 11, 2024

    Accepted: Dec. 25, 2024

    Published Online: Jul. 8, 2025

    The Author Email: Changwei Li (cwli@niaot.ac.cn)

    DOI:10.3788/LOP242245

    CSTR:32186.14.LOP242245

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