Sub-aperture piston phase diversity for segmented and multi-aperture systems.

Phase diversity is a method of image-based wavefront sensing that simultaneously estimates the unknown phase aberrations of an imaging system along with an image of the object. To perform this estimation a series of images differing by a known aberration, typically defocus, are used. In this paper we present a new method of introducing the diversity unique to segmented and multi-aperture systems in which individual segments or sub-apertures are pistoned with respect to one another. We compare this new diversity with the conventional focus diversity.

[1]  E. Wolf,et al.  Principles of Optics (7th Ed) , 1999 .

[2]  Stephen L. Keil,et al.  Innovative Telescopes and Instrumentation for Solar Astrophysics , 2003 .

[3]  Robert A. Gonsalves,et al.  Wavefront Sensing By Phase Retrieval , 1979, Optics & Photonics.

[4]  R. Vanderbei,et al.  Fast computation of Lyot-style coronagraph propagation. , 2007, Optics express.

[5]  H J Caulfield,et al.  Deconvolution of multiple images of the same object. , 1994, Applied optics.

[6]  James R Fienup,et al.  Noise histogram regularization for iterative image reconstruction algorithms. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[7]  Richard E. Stone,et al.  Closed-loop wavefront sensing for a sparse-aperture multitelescope array using broadband phase diversity , 2000, SPIE Optics + Photonics.

[8]  James R. Fienup,et al.  Joint estimation of object and aberrations by using phase diversity , 1992 .

[9]  Ovidio Mario Bucci,et al.  Regularizing strategy for image restoration and wave-front sensing by phase diversity , 1999 .

[10]  John R. Schott,et al.  Phase retrieval in sparse aperture systems with phase diversity: a trade space study , 2008, SPIE Defense + Commercial Sensing.

[11]  H. V. Trees Detection, Estimation, And Modulation Theory , 2001 .

[12]  Joseph J. M. Braat,et al.  Double Zernike expansion of the optical aberration function , 1993 .

[13]  James R. Fienup,et al.  Cramer-Rao Lower Bound On Wavefront Sensor Error , 1986 .

[14]  David A. Naylor,et al.  Astronomical spectroscopy using an aliased step-and-integrate Fourier transform spectrometer , 2004, SPIE Astronomical Telescopes + Instrumentation.

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

[16]  S. Kay Fundamentals of statistical signal processing: estimation theory , 1993 .

[17]  R. Penrose A Generalized inverse for matrices , 1955 .

[18]  M. Troy,et al.  Strehl ratio and modulation transfer function for segmented mirror telescopes as functions of segment phase error. , 1999, Applied optics.

[19]  Manuel Guizar-Sicairos,et al.  Efficient subpixel image registration algorithms. , 2008, Optics letters.

[20]  Mats G. Lofdahl,et al.  Evaluation of phase-diversity techniques for solar-image restoration , 1996 .

[21]  James Fienup,et al.  Multi-aperture Fourier transform imaging spectroscopy: theory and imaging properties. , 2005, Optics express.

[22]  B. Welsh,et al.  Evaluation of least-squares phase-diversity technique for space telescope wave-front sensing. , 1997, Applied optics.

[23]  H. Nyquist,et al.  Certain Topics in Telegraph Transmission Theory , 1928, Transactions of the American Institute of Electrical Engineers.

[24]  Jérôme Idier,et al.  Marginal estimation of aberrations and image restoration by use of phase diversity. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[25]  Richard G. Paxman,et al.  Fine-resolution astronomical imaging with phase-diverse speckle , 1993 .

[26]  James R. Fienup,et al.  Phase retrieval for undersampled broadband images , 1999 .

[27]  Peter R. Lawson,et al.  Terrestrial Planet Finder Interferometer : TPF-I Technology Milestone #2 Report : formation control performance demonstration , 2008 .

[28]  Mats G. Lofdahl,et al.  Diverse phase speckle inversion applied to data from the Swedish 1-meter solar telescope , 2003, SPIE Astronomical Telescopes + Instrumentation.

[29]  James R. Fienup,et al.  Phase Diversity with Broadband Illumination , 2007 .

[30]  James R. Fienup,et al.  Optical misalignment sensing and image reconstruction using phase diversity , 1988 .

[31]  James R. Fienup,et al.  Method of phase diversity in multi-aperture systems utilizing individual sub-aperture control , 2005, SPIE Optics + Photonics.

[32]  D. S. Acton,et al.  Phase-diversity wave-front sensor for imaging systems. , 1994, Applied optics.

[33]  James R. Fienup,et al.  Multiple Instrument Distributed Aperture Sensor (MIDAS) for planetary remote sensing , 2004, SPIE Asia-Pacific Remote Sensing.

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