Extension of the modal wave-front reconstruction algorithm to non-uniform illumination.

Attempts are made to eliminate the effects of non-uniform illumination on the precision of wave-front measurement. To achieve this, the relationship between the wave-front slope at a single sub-aperture and the distributions of the phase and light intensity of the wave-front were first analyzed to obtain the relevant theoretical formulae. Then, based on the principle of modal wave-front reconstruction, the influence of the light intensity distribution on the wave-front slope is introduced into the calculation of the reconstruction matrix. Experiments were conducted to prove that the corrected modal wave-front reconstruction algorithm improved the accuracy of wave-front reconstruction. Moreover, the correction is conducive to high-precision wave-front measurement using a Hartmann wave-front sensor in the presence of non-uniform illumination.

[1]  Wenhan Jiang,et al.  Detection error of Shack-Hartmann wavefront sensors , 1997, Optics & Photonics.

[2]  Changhui Rao,et al.  Absolute calibration of Hartmann-Shack wavefront sensor by spherical wavefronts , 2010 .

[3]  E. Ribak,et al.  Centroid distortion of a wavefront with varying amplitude due to asymmetry in lens diffraction. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

[4]  Valentina Ye. Zavalova,et al.  Shack-Hartmann wavefront sensor for laser beam analyses , 2002, Optics + Photonics.

[5]  Jesper Munch,et al.  Accurate and precise optical testing with a differential Hartmann wavefront sensor. , 2007, Applied optics.

[6]  Allan Wirth,et al.  Applying Hartmann wavefront-sensing technology to precision optical testing of the Hubble Space Telescope correctors , 1993, Smart Structures.

[7]  Toru Fujii,et al.  Portable phase measuring interferometer using Shack-Hartmann method , 2003, SPIE Advanced Lithography.

[8]  R G Lane,et al.  Wave-front reconstruction using a Shack-Hartmann sensor. , 1992, Applied Optics.

[9]  Sergio Barbero,et al.  Wavefront sensing and reconstruction from gradient and Laplacian data measured with a Hartmann-Shack sensor. , 2006, Optics letters.

[10]  Xin Yu,et al.  Accuracy analysis of a Hartmann-Shack wavefront sensor operated with a faint object , 1994 .

[11]  S. Ríos,et al.  Modified Shack-Hartmann wavefront sensor using an array of superresolution pupil filters. , 2009, Optics express.

[12]  Mingzhou Chen,et al.  Detection of phase singularities with a Shack-Hartmann wavefront sensor. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[13]  J. Gonglewski,et al.  Atmospheric structure function measurements with a Shack-Hartmann wave-front sensor. , 1992, Optics letters.

[14]  Carmen Canovas,et al.  Comparison of Hartmann analysis methods. , 2007, Applied optics.

[15]  Geunyoung Yoon,et al.  Use of a microelectromechanical mirror for adaptive optics in the human eye. , 2002, Optics letters.

[16]  Changhui Rao,et al.  Error analysis of CCD-based point source centroid computation under the background light. , 2009, Optics express.

[17]  Changhui Rao,et al.  Atmospheric characterization with Shack-Hartmann wavefront sensors for non-Kolmogorov turbulence , 2002 .

[18]  L G Seppala,et al.  Experimental comparison of a Shack-Hartmann sensor and a phase-shifting interferometer for large-optics metrology applications. , 2000, Applied optics.

[19]  R. Shack,et al.  History and principles of Shack-Hartmann wavefront sensing. , 2001, Journal of refractive surgery.