论文信息 - The comparisons between the preconditioned conjugate-gradient method and the Fourier transform method in lateral shearing interferometry

The comparisons between the preconditioned conjugate-gradient method and the Fourier transform method in lateral shearing interferometry

The wavefront reconstruction of the preconditioned conjugate-gradient method and the Fourier transform method in the lateral shearing interferometry are discussed for their feasibility and accuracy in this paper. The numerical simulation study on the accuracy of both the wavefront reconstruction method under ideal situation and under the simulated noisy situation is also introduced. Simulation experiments show that the preconditioned conjugate-gradient method has better anti-noise performance, and provides higher precision for discontinuous phase wavefront reconstruction. The two-grating lateral shearing interference experiment is carried out to verify the simulated results based on both the preconditioned conjugate-gradient method and the Fourier transform method.

[1] Ji Xu,et al. Two-dimensional wavefront reconstruction from lateral multi-shear interferograms. , 2012, Optics express.

[2] Peiying Liang,et al. Two-dimensional wave-front reconstruction from lateral shearing interferograms. , 2006, Optics express.

[3] Louis A. Romero,et al. Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods , 1994 .

[4] Hedser H. van Brug,et al. Zernike polynomials as a basis for wave-front fitting in lateral shearing interferometry. , 1997 .

[5] Chris L. Koliopoulos,et al. Modal estimation of a wave front from difference measurements using the discrete Fourier transform , 1986 .

[6] Huaying Wang,et al. Improvement of phase unwrapping algorithm based on image segmentation and merging , 2013 .

[7] Christopher Dainty,et al. Wave-front reconstruction from shear phase maps by use of the discrete Fourier transform. , 2004, Applied optics.

[8] Osami Sasaki,et al. Use of numerical orthogonal transformation for the Zernike analysis of lateral shearing interferograms. , 2012, Optics express.

[9] M Itoh,et al. Simple algorithm for large-grid phase reconstruction of lateral-shearing interferometry. , 1995, Applied optics.

[10] Shanyong Chen,et al. Exact recovery of wavefront from multishearing interferograms in spatial domain. , 2016, Applied optics.