Method of obtaining wavefront slope data from through-focus point spread function measurements.

A method is described for analyzing point source imagery collected with various amounts of defocus to obtain wavefront slope data at the exit pupil of an imaging system. Integration of this slope data yields the system wavefront aberration function. The method is based on a geometric optics interpretation of intensity point spread function measurements in the caustic region near focus. Algorithm performance is examined through Monte Carlo simulations. Application of the method to segmented-aperture systems is also explored. The proposed method is used to generate initial wavefront estimates for an iterative phase retrieval algorithm, significantly improving the capture range over a blind phase retrieval approach when segment tilt errors are large.

[1]  Lee D. Feinberg,et al.  TRL-6 for JWST wavefront sensing and control , 2007, SPIE Optical Engineering + Applications.

[2]  F. Shi,et al.  Experimental verification of dispersed fringe sensing as a segment phasing technique using the Keck telescope. , 2004, Applied optics.

[3]  Catherine Mayumi Ohara,et al.  Experimental verification of dispersed fringe sensing as a segment-phasing technique using the Keck Telescope , 2004, SPIE Astronomical Telescopes + Instrumentation.

[4]  T. Mast,et al.  Phasing the mirror segments of the Keck telescopes: the broadband phasing algorithm. , 1998, Applied optics.

[5]  W. Southwell Wave-front estimation from wave-front slope measurements , 1980 .

[6]  J. Fienup,et al.  Wave-front phase estimation from Fourier intensity measurements , 1989 .

[7]  R. Noll Zernike polynomials and atmospheric turbulence , 1976 .

[8]  James R. Fienup,et al.  Extending Wavefront Sensing Capture Range for Segmented Systems through Tip and Tilt Estimation , 2006 .

[9]  R. Hudgin Wave-front reconstruction for compensated imaging , 1977 .

[10]  E. Acosta,et al.  Determination of phase mode components in terms of local wave-front slopes: an analytical approach. , 1995, Optics letters.

[11]  D. Scott Acton,et al.  End-to-end commissioning demonstration of the James Webb Space Telescope , 2007, SPIE Optical Engineering + Applications.

[12]  James R Fienup,et al.  Phase retrieval with signal bias. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

[13]  J. Goodman Introduction to Fourier optics , 1969 .

[14]  R. Lane,et al.  Simulation of a Kolmogorov phase screen , 1992 .

[15]  David L. Fried,et al.  Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements , 1977 .

[16]  F Roddier,et al.  Curvature sensing and compensation: a new concept in adaptive optics. , 1988, Applied optics.