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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: Franco Gori
  • Vol. 30, Iss. 1 — Jan. 1, 2013
  • pp: 128–139

Kalman filtering techniques for focal plane electric field estimation

Tyler D. Groff and N. Jeremy Kasdin  »View Author Affiliations


JOSA A, Vol. 30, Issue 1, pp. 128-139 (2013)
http://dx.doi.org/10.1364/JOSAA.30.000128


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Abstract

For a coronagraph to detect faint exoplanets, it will require focal plane wavefront control techniques to continue reaching smaller angular separations and higher contrast levels. These correction algorithms are iterative and the control methods need an estimate of the electric field at the science camera, which requires nearly all of the images taken for the correction. The best way to make such algorithms the least disruptive to science exposures is to reduce the number required to estimate the field. We demonstrate a Kalman filter estimator that uses prior knowledge to create the estimate of the electric field, dramatically reducing the number of exposures required to estimate the image plane electric field while stabilizing the suppression against poor signal-to-noise. In addition to a significant reduction in exposures, we discuss the relative merit of this algorithm to estimation schemes that do not incorporate prior state estimate history, particularly in regard to estimate error and covariance. Ultimately the filter will lead to an adaptive algorithm which can estimate physical parameters in the laboratory for robustness to variance in the optical train.

© 2012 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(110.6770) Imaging systems : Telescopes
(350.1260) Other areas of optics : Astronomical optics
(350.1270) Other areas of optics : Astronomy and astrophysics
(110.1080) Imaging systems : Active or adaptive optics

ToC Category:
Imaging Systems

History
Original Manuscript: August 22, 2012
Manuscript Accepted: October 28, 2012
Published: December 21, 2012

Citation
Tyler D. Groff and N. Jeremy Kasdin, "Kalman filtering techniques for focal plane electric field estimation," J. Opt. Soc. Am. A 30, 128-139 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-1-128

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