OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 17, Iss. 23 — Dec. 1, 1978
  • pp: 3785–3793

Dynamic statistical properties of vibrating laser speckle in the diffraction field

N. Takai and T. Asakura  »View Author Affiliations


Applied Optics, Vol. 17, Issue 23, pp. 3785-3793 (1978)
http://dx.doi.org/10.1364/AO.17.003785


View Full Text Article

Enhanced HTML    Acrobat PDF (1283 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Dynamic statistical properties of laser speckle produced in the diffraction field from an out-of-plane vibrating object are studied theoretically and experimentally. The equations expressing the averaged power spectrum and the autocorrelation function of vibrating laser speckle intensity fluctuations are derived for the first time and evaluated numerically. An analysis of those equations shows that the statistical properties of the averaged power spectrum and the autocorrelation function of vibrating speckle are determined by a product of both the derivative value (vibration slope) of vibrating amplitudes of the object and the laser beam width used for illumination of the object. The correlation length and the power spectrum of vibrating speckle are investigated in detail as a function of the vibration slope of the object and the beam width of illumination. It is shown from numerical evaluation of the equations that the power spectral width of vibrating speckles is linearly dependent on the product of the vibration slope and the beam width except for extremely small values. Experiments confirming the theory were performed and show excellent agreement with the theoretical results.

© 1978 Optical Society of America

History
Original Manuscript: June 1, 1978
Published: December 1, 1978

Citation
N. Takai and T. Asakura, "Dynamic statistical properties of vibrating laser speckle in the diffraction field," Appl. Opt. 17, 3785-3793 (1978)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-17-23-3785


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. N. Takai, Jpn. J. Appl. Phys. 13, 2025 (1974). [CrossRef]
  2. E. Jakeman, J. G. McWhirter, J. Phys. A 9, 785 (1976). [CrossRef]
  3. P. N. Pusey, J. Phys. D 9, 1399 (1976). [CrossRef]
  4. G. Stavis, Instrum. Control Syst. 39, 99 (1966).
  5. H. Ogiwara, H. Ukita, Jpn. J. Appl. Phys. 14, Suppl. 1, 307 (1975). [CrossRef]
  6. S. Komatsu, I. Yamaguchi, H. Saito, Opt. Commun. 18, 314 (1976). [CrossRef]
  7. J. Ohtsubo, T. Asakura, Opt. Quantum. Electron. 8, 523 (1976). [CrossRef]
  8. A. W. Lohmann, G. P. Weigelt, Opt. Commun. 14, 252 (1975). [CrossRef]
  9. A. W. Lohmann, G. P. Weigelt, Opt. Commun. 17, 47 (1976). [CrossRef]
  10. A. W. Lohmann, G. P. Weigelt, J. Opt. Soc. Am. 66, 1271 (1976). [CrossRef]
  11. E. Archbold, A. E. Ennos, P. A. Taylor, Optical Instruments and Techniques (Oriel Press, Newcastle-upon-Tyne, 1969), p. 265.
  12. E. Archbold, A. E. Ennos, Opt. Laser Technol. 7, 17 (1975). [CrossRef]
  13. E. Archbold, A. E. Ennos, Opt. Acta 19, 253 (1972). [CrossRef]
  14. A. E. Ennos, in Laser Speckle and Related Phenomena, J. C. Dainty, Ed. (Springer, Berlin, 1975), p. 203. [CrossRef]
  15. F. P. Chiang, R. M. Juang, Appl. Opt. 15, 2199 (1976). [CrossRef] [PubMed]
  16. F. P. Chiang, R. M. Juang, Opt. Acta 23, 997 (1976). [CrossRef]
  17. H. J. Tiziani, Opt. Acta 18, 891 (1971). [CrossRef]
  18. H. J. Tiziani, Opt. Commun. 5, 271 (1972). [CrossRef]
  19. L. Ek, N. E. Molin, Opt. Commun. 2, 419 (1971). [CrossRef]
  20. N. Fernelius, C. Tome, J. Opt. Soc. Am. 61, 566 (1971). [CrossRef]
  21. J. J. Hopkins, G. H. Tidbery, Opt. Acta 24, 773 (1977). [CrossRef]
  22. D. Joyeux, S. Lowenthal, Opt. Commun. 4, 108 (1971). [CrossRef]
  23. K. J. Ebeling, Opt. Commun. 24, 125 (1978). [CrossRef]
  24. B. Eliasson, F. M. Mottier, J. Opt. Soc. Am. 61, 559 (1971). [CrossRef]
  25. N. Takai, Opt. Commun. 25, 31 (1978). [CrossRef]

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