OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 67, Iss. 3 — Mar. 1, 1977
  • pp: 393–395

Wave-front compensation error due to finite corrector-element size

Richard Hudgin  »View Author Affiliations

JOSA, Vol. 67, Issue 3, pp. 393-395 (1977)

View Full Text Article

Acrobat PDF (287 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A critical component of an active optical-compensation system is the formable mirror or other phase corrector. Because the corrector will have a finite number of controllable elements, it cannot perfectly correct a distorted wave front and the resulting error must be evaluated to model and design the system properly. This paper presents the full theory of the phase corrector in two common situations: one, where a particular known type of distortion such as focus or coma is to be corrected, and two, where the distortion is a random function of position, such as might arise from atmospheric turbulence. Results for a typical corrector are presented for both situations.

© 1977 Optical Society of America

Richard Hudgin, "Wave-front compensation error due to finite corrector-element size," J. Opt. Soc. Am. 67, 393-395 (1977)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. R. A. Muller and A. Buffington, "Real-time correction of atmospherically degraded telescope images through image sharpening," J. Opt. Soc. Am. 64, 1200–1210 (1974).
  2. W. D. Bridges, P. T. Brunner, S. P. Lazzara, T. A. Nussmeier, T. R. O'Meara, J. A. Sanguinet, and W. P. Brown, "Coherent Optical Adaptive Techniques," J. Appl. Opt. 13, 291–300 (1974).
  3. J. W. Hard, J. Feinleib, and J. C. Wyant, in "Real-Time Phase Correction of Optical Imaging Systems," Digest of Technical Papers, Topical Meeting on Optical Propagation through Turbulence, sponsored by the OSA, ThB1-1 through ThB1-4.
  4. L. Miller, W. P. Brown, Jr., J. A. Jenney, and T. H. O'Meara, "Imaging Through Turbulence with Coherent Optical Adaptive Techniques," Ref. 3, ThB2-1 through ThB2-4.
  5. R. F. Ogrodnik, "Adaptive Aperture Wavefront Turbulence Compensation Techniques," Ref. 3, ThB4-4.
  6. J. E. Pearson, W. B. Bridges, L. S. Horwitz, T. J. Walsh, and R. F. Ogrodnik, "Atmospheric Turbulence Compensation Using Coherent Optical Adaptive Techniques," Ref. 3, ThB5-1 through ThB-3.
  7. R. M. Scott, "New Technique for Controlling Optical Mirror Shapes," Opt. Eng. 14, 112–115 (1975).
  8. R. Hudgin and S. Lipson, "Analysis of a Monolithic Piezoelectric Mirror," J. Appl. Phys. 46, 510–512 (1975).
  9. J. Feinleib, S. Lipson, and P. Cone, "Monolithic Piezoelectric Mirror for Wavefront Correction," Appl. Phys. Lett. 25, 311–313 (1974).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited