Analysis of a High-resolution Optical Wave-front Control System

Author(s)

Eric W. Justh, University of Maryland at College Park
P. S. Krishnaprasad, University of Maryland at College Park
Mikhail Vorontsov, University of DaytonFollow

Document Type

Article

Publication Date

7-2004

Publication Source

Automatica

Abstract

We consider the formulation and analysis of a problem of automatic control: correcting for the distortion induced in an optical wave front due to propagation through a turbulent atmosphere. It has recently been demonstrated that high-resolution optical wave-front distortion suppression can be achieved using feedback systems based on high-resolution spatial light modulators and phase-contrast techniques. We examine the modeling and analysis of such adaptive optic systems, and show that under certain conditions, the nonlinear dynamical system models obtained are gradient systems (with energy functions that also serve as Lyapunov functions). These gradient systems (employing fixed phase-contrast sensors) serve as a starting point for understanding the design of practical high-resolution wave-front correction systems, in which the phase-contrast sensor itself is subject to control.

Inclusive pages

1129-1141

ISBN/ISSN

0005-1098

Comments

Permission documentation on file.

Copyright

Copyright © 2004, Elsevier

Publisher

Elsevier

Volume

40

Issue

7

Peer Reviewed

yes

eCommons Citation

Justh, Eric W.; Krishnaprasad, P. S.; and Vorontsov, Mikhail, "Analysis of a High-resolution Optical Wave-front Control System" (2004). Electro-Optics and Photonics Faculty Publications. 106.
https://ecommons.udayton.edu/eop_fac_pub/106