Wavefront Error Compensation Capabilities Of Multi-Actuator Deformable Mirrors

James E. Harvey; Gary M. Callahan

doi:10.1117/12.956512

8 August 1978 Wavefront Error Compensation Capabilities Of Multi-Actuator Deformable Mirrors

James E. Harvey, Gary M. Callahan

Proceedings Volume 0141, Adaptive Optical Components I; (1978) https://doi.org/10.1117/12.956512
Event: 1978 Technical Symposium East, 1978, Washington, D.C., United States

Abstract

The concept of a multi-actuator deformable mirror as a high-pass spatial frequency filter which operates upon the spatial frequency spectrum of the incident wavefront error allows us to apply the well-known techniques of linear systems theory to the wavefront error compensation process. The deformable mirror filter function, given by the ratio of the spatial frequency spectrum of the residual wavefront error after compensation to the spatial frequency spectrum of the uncorrected wavefront error, can be considered to be a transfer function characterizing the wavefront error compensation capabilities of the mirror. This concept has been implemented by constructing a realistic transfer function from measured actuator influence function data and incorporating the effects of several different types of wavefront sensors and control algorithms. For the special case of random wavefront errors with Gaussian statistics this transfer function can be used to predict the variance of the residual wavefront error as a function of the autocovariance length of the uncorrected wavefront error for any desired actuator density. The resulting design curves provide a simple method of determining the actuator density and stroke requirements of a deformable mirror capable of achieving a specified degree of wavefront error compensation. The actuator influence function is also explored as a variable in the design of deformable mirrors. The simple analytic model developed here is a valuable tool in the design and evaluation of wavefront error compensation systems.

Citation Download Citation

James E. Harvey and Gary M. Callahan "Wavefront Error Compensation Capabilities Of Multi-Actuator Deformable Mirrors", Proc. SPIE 0141, Adaptive Optical Components I, (8 August 1978); https://doi.org/10.1117/12.956512

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

Includes PDF, HTML & Video, when available