Abstract

We describe a deformable-mirror control algorithm based on mirror-actuator influence functions. Since these influence functions are nonorthogonal, the voltages transmitted to the actuators are calculated using a least-squares technique. The resulting solution was then optimized to take into account the constraints on maximum permissible actuator voltages. A practical demonstration of this algorithm was performed in MATLAB, using the example of a deformable mirror with 49 actuators. We show that in certain cases, the root-mean-square deviation between the surface and the specified shape can be reduced by as much as 70% through additional optimization.

© 2021 Optical Society of America

Modified Gaussian influence function of deformable mirror actuators

Linhai Huang, Changhui Rao, and Wenhan Jiang
Opt. Express 16(1) 108-114 (2008)

Influence functions for a hysteretic deformable mirror with a high-density 2D array of actuators

A. E. M. Schmerbauch, M. A. Vasquez-Beltran, A. I. Vakis, R. Huisman, and B. Jayawardhana
Appl. Opt. 59(27) 8077-8088 (2020)

Effect of the influence function of deformable mirrors on laser beam shaping

Héctor González-Núñez, Clémentine Béchet, Boris Ayancán, Benoit Neichel, and Andrés Guesalaga
Appl. Opt. 56(6) 1637-1646 (2017)

Stroke saturation on a MEMS deformable mirror for woofer-tweeter adaptive optics

Katie Morzinski, Bruce Macintosh, Donald Gavel, and Daren Dillon
Opt. Express 17(7) 5829-5844 (2009)

Actuator influence functions of active mirrors

Arthur Menikoff
Appl. Opt. 30(7) 833-838 (1991)