Abstract

The variance σS2 of the Strehl ratio of a reasonably well-corrected adaptive optics system is derived as a power series in the log-amplitude variance σl2 and the residual phase error variance σδϕ2. It is shown that, to leading order, the variance of the Strehl ratio is dependent on the first power of the log-amplitude variance, (σl2)1, of the incident optical field but only on the second power of the residual phase variance, (σδϕ2)2, of that field after adaptive optics correction, and on the first power of the product of the log-amplitude variance times the phase variance, (σl2σδϕ2)1. As long as the adaptive optics correction is good enough to ensure that the variance of the residual phase, σδϕ2, is significantly less than unity, then even for fairly small values of the log-amplitude variance σl2, the value of the variance of the Strehl ratio, σS2, will be dominated by the value of the log-amplitude variance.

© 1998 Optical Society of America

Full Article  |  PDF Article
Related Articles
Estimation of the adaptive optics long-exposure point-spread function using control loop data

Jean-Pierre Véran, François Rigaut, Henri Maı̂tre, and Daniel Rouan
J. Opt. Soc. Am. A 14(11) 3057-3069 (1997)

Phase variance and Strehl ratio in adaptive optics

Jan Herrmann
J. Opt. Soc. Am. A 9(12) 2257-2258 (1992)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (36)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription