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  • Vol. 36, Iss. 8 — Apr. 15, 2011
  • pp: 1503–1505

Moment analysis of focus-diverse point spread functions for modal wavefront sensing of uniformly illuminated circular-pupil systems

Hanshin Lee  »View Author Affiliations


Optics Letters, Vol. 36, Issue 8, pp. 1503-1505 (2011)
http://dx.doi.org/10.1364/OL.36.001503


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Abstract

A new concept of using focus-diverse point spread functions (PSFs) for modal wavefront sensing (WFS) is explored. This concept is based on relatively straightforward image moment analysis of measured PSFs, which differentiates it from other focal-plane WFS techniques. The presented geometric analysis shows that the image moments are nonlinear functions of wave aberration coefficients but notes that focus diversity essentially decouples the coefficients of interest from others, resulting in a set of linear equations whose solution corresponds to modal coefficient estimates. The presented proof-of-concept simulations suggest the potential of the concept in WFS with strongly aberrated high signal-to-noise ratio objects in particular.

© 2011 Optical Society of America

OCIS Codes
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(080.1010) Geometric optics : Aberrations (global)
(110.2960) Imaging systems : Image analysis
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(220.4840) Optical design and fabrication : Testing

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: November 5, 2010
Revised Manuscript: February 11, 2011
Manuscript Accepted: March 11, 2011
Published: April 15, 2011

Citation
Hanshin Lee, "Moment analysis of focus-diverse point spread functions for modal wavefront sensing of uniformly illuminated circular-pupil systems," Opt. Lett. 36, 1503-1505 (2011)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-36-8-1503


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