Cramer-Rao Lower Bound On Wavefront Sensor Error

Jack Cederquist; S. R. Robinson; D. Kryskowski; J. R. Fienup; C. C. Wackerman

doi:10.1117/12.7973865

1 April 1986 Cramer-Rao Lower Bound On Wavefront Sensor Error

Jack Cederquist, S. R. Robinson, D. Kryskowski, J. R. Fienup, C. C. Wackerman

Author Affiliations +

Optical Engineering, Vol. 25, Issue 4, 254586 (April 1986). https://doi.org/10.1117/12.7973865

Abstract

Wavefront sensors that can operate at low light levels, be built from present technology components, and provide accurate wavefront phase estimates in real time are required for use with adaptive optics systems. The use of estimation theory makes possible the evaluation of wavefront sensors without specification of the wavefront phase estimation algorithms. The Cramer-Rao method was used to find a lower bound on integrated rms wavefront sensor estimation error. In addition to an analysis of the general case, the error lower bound was numerically evaluated for the shearing interferometer wavefront sensor. Computer simulations of the atmosphere and wavefront sensor measurements including noise were performed. Using an appropriate algorithm, the phase was estimated and the resulting phase error was compared with the lower bound. The results support the validity of using the Cramer-Rao lower bound to evaluate wavefront sensor performance.

Citation Download Citation

Jack Cederquist, S. R. Robinson, D. Kryskowski, J. R. Fienup, and C. C. Wackerman "Cramer-Rao Lower Bound On Wavefront Sensor Error," Optical Engineering 25(4), 254586 (1 April 1986). https://doi.org/10.1117/12.7973865

Published: 1 April 1986

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

;

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE