Modeling and Control of a Deformable Mirror

[+] Author and Article Information
S. E. Winters

Department of Mechanical Engineering, Lawrence Livermore National Laboratory, Livermore, CA 94550

J. H. Chung

Department of Mechanical Engineering, Stevens Institute of Technology, Hoboken, NJ 07030

S. A. Velinsky

Department of Mechanical and Aeronautical Engineering, University of California at Davis, Davis, CA 95616

J. Dyn. Sys., Meas., Control 124(2), 297-302 (May 10, 2002) (6 pages) doi:10.1115/1.1470175 History: Received July 01, 2000; Online May 10, 2002
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.


Apollonov,  V. V., Vdovin,  G. V., Ivanova,  E. A., Prokhorov,  A. M., and Shetkin,  S. A., 1990, “Analytic Model of an Adaptive Mirror in the Form of a Thin Plate with Discrete Actuators,” Sov. J. Quantum Electron., 20(11), pp. 1414–1418.
Creedon,  J. F., and Lindgren,  A. G., 1970, “Control of the Optical Surface of a Thin, Deformable Primary Mirror with Application to an Orbiting Astronomical Observatory,” Automatica, 6, pp. 643–660.
Chiarappa,  D. J., and Claysmith,  C. R., 1981, “Deformable Mirror Surface Control Techniques,” J. Guid. Control Dyn., 4(1), pp. 7–34.
Ealey,  M. A., 1991, “Active and Adaptive Optical Components: The Technology and Future Trends,” Active and Adaptive Optical Components, SPIE 1543, pp. 2–34.
Dimitriadis, E. K., and Fuller, C. R., 1989, “Investigation of Active Control of Sound Transmission Through Elastic Plates Using Piezoelectric Actuators.” AIAA 27th Aerospace Sciences Conference, Reno, Nevada, Jan. 8–12, Paper 89–106.
Walker,  L. A., and Yaneskek,  P. P., 1976, “The Damping of the Plate Vibrations by Means of Multiple Active Control Systems,” J. Sound Vib., 46, pp. 177–193.
Livne, E., and Li, W. L., 1995, “Aeroservoelastic aspects of Wing/Control Surface Platform Shape Optimization,” 55 (2), pp. 302–311.
Junkins, J. L., 1990, Mechanics and Control of Large Flexible Structures, American Institute of Aeronautics and Astronautics, Inc.
Meirovitch, L., 1990, Dynamics and Control of Structures, Wiley, NY.
Tyson, R. K., 1998, Principles of Adaptive Optics, Academic Press, NY.
Salmon,  J. T., Bergum,  J. W., Kartz,  M. W., Presta,  R. W., and Swift,  C. D., 1993, “Wavefront Correction System Based on an Equilateral Triangular Arrangement of Actuators,” SPIE, 1920, pp. 20–28.
Furber,  M. E., Blaszak,  D. D., and Pieri,  M. R., 1994a, “Correctability Modeling of a Large Deformable Mirror,” Adaptive Optics in Astronomy, SPIE, 2201, pp. 856–866.
Shishakov,  K. V., and Shmal’gauzen,  V. I., 1992, “Optimization of Surface Shape Control in Feedback Systems,” Automation and Remote Control, No. 53, pp. 1866–1871.
Bushnell,  D., 1979, “Control of Surface Configuration by Application of Concentrated Loads,” AIAA J., 7(1), pp. 71–77.
Lyakhov,  D. M., 1994, “Optimizing the Control of the Shape of the Optical Surface of Plates with Point Connections,” J. Opt. Technol., 61(7), pp. 518–522.
Bigelow,  B. C., Bingham,  R. G., and Walker,  D. D., 1994, “Optimizing a Deformable Secondary Mirror for Adaptive Optics,” Adaptive Optics in Astronomy, SPIE, 2201, pp. 800–810.
Ealey,  M. A., and Wellman,  J. A., 1991, “Deformable Mirrors: Design Fundamentals, Key Performance Specifications and Parametric Trades,” Active and Adaptive Optical Components, SPIE, 1543, pp. 36–51.
Hiddleston,  H. R., Lyman,  D. D., and Schafer,  E. L., 1991, “Comparisons of Deformable Mirror Models and Influence Functions,” SPIE Vol. 1542 Active and Adaptive Optical Systems, 20–33.
Lawry, M. H., 1997, SDRC Master Series Student Guide, SDRC.
Russell,  R., 1996, “Don’t Trust the Pretty Pictures,” Machine Design CAM/CAD Industry Report, May.
Zacharias, R., Bliss, E., Feldman, M., Gray, A., Henesian, M., Koch, J., Lawson, J., Sacks, R., Salmon, T., Toeppen, J., Van Atta, L., and Winters, S., 1998, “The National Ignition Facility Wavefront Control System,” Solid State Lasers for Application to Inertial Confinement Fusion, Montery CA. June.
Furber,  M. E., Cox,  C. D., Blaszak,  D. D., and Houghton,  C. D., 1994, “Interferometric Measurement and Analysis of Influence Functions for a Large Deformable Mirror,” Adaptive Optics in Astronomy, SPIE, 2201, pp. 788–799.
Cielinski,  A. J., 1991, “Wavefront Control Model of A Beam Control Experiment,” SPIE, 1542, Active and Adaptive Optical Systems, pp. 434–448.


Grahic Jump Location
National Ignition Facility prototype deformable mirror
Grahic Jump Location
Schematic of deformable mirror including actuators, clear aperture, and projected lenslets
Grahic Jump Location
Deformable mirror-interferometer layout used for experiments
Grahic Jump Location
(a) Difference (in mm) between Finite Element model and experimental data for actuator #20; (b) difference (in mm) between Gaussian model and experimental data for actuator #20
Grahic Jump Location
(a) Correction of a piston aberration with Finite Element model based control-error in mm; (b) correction of a piston aberration with Gaussian model based control-error in mm




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In