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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 5 — May. 1, 2008
  • pp: 1000–1015

Unambiguous phase retrieval as a cophasing sensor for phased array telescopes

Fabien Baron, Isabelle Mocœur, Frédéric Cassaing, and Laurent M. Mugnier  »View Author Affiliations


JOSA A, Vol. 25, Issue 5, pp. 1000-1015 (2008)
http://dx.doi.org/10.1364/JOSAA.25.001000


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Abstract

Cophasing a multiple-aperture optical telescope (MAOT) or optical interferometer requires the knowledge of the tips/tilts and of the differential pistons on its subapertures. In this paper we demonstrate in the case of a point source object that a single focal-plane image is sufficient for MAOT cophasing. Adopting a least-square approach allows us to derive an analytic estimator of the subaperture aberrations, provided that these are small enough (typically for closed-loop operation) and that the pupil is diluted noncentrosymmetric. We then provide the validation of this estimator by simulations as well as a performance comparison with a more conventional iterative algorithm of phase retrieval. Finally, we present the experimental validation of both estimators on a laboratory test bench; our results, especially subnanometric repeatability, demonstrate that focal-plane sensors are appropriate for the cophasing of phased array telescopes.

© 2008 Optical Society of America

OCIS Codes
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval
(110.5100) Imaging systems : Phased-array imaging systems
(120.3180) Instrumentation, measurement, and metrology : Interferometry

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: August 10, 2007
Revised Manuscript: January 4, 2008
Manuscript Accepted: January 24, 2008
Published: April 9, 2008

Citation
Fabien Baron, Isabelle Mocoeur, Frédéric Cassaing, and Laurent M. Mugnier, "Unambiguous phase retrieval as a cophasing sensor for phased array telescopes," J. Opt. Soc. Am. A 25, 1000-1015 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-5-1000

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