OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 9 — Sep. 1, 2004
  • pp: 1724–1729

Analysis of imaging properties of a vibrating thin flat mirror

Antonin Miks and Jiri Novak  »View Author Affiliations


JOSA A, Vol. 21, Issue 9, pp. 1724-1729 (2004)
http://dx.doi.org/10.1364/JOSAA.21.001724


View Full Text Article

Enhanced HTML    Acrobat PDF (479 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Thin flat mirrors are often used in designing various optical measurement systems. Such mirrors are generally deformed by environmental conditions during measurements. A detailed theory of deformation of a thin flat mirror that oscillates harmonically in the direction of the normal to its surface is introduced in our work. The mirror is treated as a vibrating membrane, and the time-dependent effect of the mirror deformation on the properties of reflected light is studied. A relation is derived for a dynamic wave aberration. On the basis of this relation, calculation of the Strehl definition of the deformed mirror is performed both by exact integration and by approximation. The results obtained can be used for analysis of the influence of mechanical vibrations on the accuracy of optical measurement systems in various practical applications where thin flat mirrors are used.

© 2004 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(080.0080) Geometric optics : Geometric optics
(080.1010) Geometric optics : Aberrations (global)
(110.0110) Imaging systems : Imaging systems
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.4820) Instrumentation, measurement, and metrology : Optical systems
(140.3300) Lasers and laser optics : Laser beam shaping
(220.0220) Optical design and fabrication : Optical design and fabrication
(220.1010) Optical design and fabrication : Aberrations (global)
(230.0230) Optical devices : Optical devices
(230.4040) Optical devices : Mirrors

History
Original Manuscript: October 17, 2003
Revised Manuscript: April 6, 2004
Manuscript Accepted: April 6, 2004
Published: September 1, 2004

Citation
Antonin Miks and Jiri Novak, "Analysis of imaging properties of a vibrating thin flat mirror," J. Opt. Soc. Am. A 21, 1724-1729 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-9-1724


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. L. D. Landau, E. M. Lifshitz, Theory of Elasticity. Course in Theoretical Physics, Vol. 7 (Pergamon, Oxford, UK, 1970).
  2. K. F. Riley, M. P. Hobson, S. J. Bence, Mathematical Methods for Physics and Engineering (Cambridge U. Press, Cambridge, UK, 2002).
  3. A. P. S. Selvadurai, Partial Differential Equations in Mechanics, Vol. 1 (Springer, Berlin, 2000).
  4. A. P. S. Selvadurai, Partial Differential Equations in Mechanics, Vol. 2 (Springer, Berlin, 2000).
  5. M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, UK, 1968).
  6. A. Miks, “Dependence of the wave-front aberration on the radius of the reference sphere,” J. Opt. Soc. Am. A 19, 1187–1190 (2002). [CrossRef]
  7. A. Miks, Applied Optics (Czech Technical University Press, Prague, 2000).
  8. C. Lanczos, Applied Analysis (Prentice Hall, New York, 1956).
  9. G. Meinardus, Approximation von Funktionen und ihre numerische Behandlung (Springer, Berlin, 1964).
  10. Melles Griot Catalogue 2003, Chap. 36.2.

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