Laser & Optoelectronics Progress, Volume. 62, Issue 15, 1505001(2025)
Wavefront Reconstruction Based on 2D Grating Talbot Effect Using QR Decomposition with Column Pivoting
Fig. 3. Flow chart of the QRCP algorithm to compress the data volume of Zernike equation
Fig. 4. Schematic diagram of the Zernike matrix compression using QRCP algorithm twice
Fig. 5. 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
Fig. 6. 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
Fig. 7. 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
Fig. 8. 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
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)
CSTR:32186.14.LOP242245