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. 5, Iss. 8 — Aug. 1, 1988
  • pp: 1287–1296

Holograms in motion. I. Effect of fluid motion on volume holograms

Juan C. Agüí and L. Hesselink  »View Author Affiliations


JOSA A, Vol. 5, Issue 8, pp. 1287-1296 (1988)
http://dx.doi.org/10.1364/JOSAA.5.001287


View Full Text Article

Enhanced HTML    Acrobat PDF (1223 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The effect of flow motion on a volume hologram written in a fluid medium is studied. The hologram is written in a sensitized fluid by either thermal absorption or the photochromic effect or by other mechanisms. After being written, the hologram is deformed because of the motion of the supporting fluid. The effect of several representative fluid motions on the hologram deformation, i.e., a plane shear flow and a symmetric plane jet, is found by solving the associated convection-diffusion equation. The effect of diffusion on the fading of the hologram is also studied for several diffusion rates corresponding to different hologram-writing mechanisms. The result of the calculation is the determination of the new shape and intensity of the hologram as functions of time. The analysis is carried out entirely in the Fourier domain, where the convection–diffusion equation is solved more easily. The output is therefore given in terms of spatial Fourier components that represent the deformed and convected hologram. The use of volume holograms for the determination of velocity gradients corresponding to small-scale fluid motion is discussed. In this paper we describe the deformation process that the hologram undertakes under the effect of fluid motion. In part II of this series [ J. Opt. Soc. Am. A 5, 1297 ( 1988)] we describe a method for predicting the diffracting characteristics of strained holograms. That method directly incorporates the results presented here.

© 1988 Optical Society of America

Citation
Juan C. Agüí and L. Hesselink, "Holograms in motion. I. Effect of fluid motion on volume holograms," J. Opt. Soc. Am. A 5, 1287-1296 (1988)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-5-8-1287


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. J. Eichler, P. Günter, and D. W. Pohl, Laser Induced Dynamic Gratings (Springer-Verlag, Berlin, 1986). [CrossRef]
  2. M. Cloitre and E. Guyon, "Forced Rayleigh scattering in turbulent plane Poiseuille flows. I. Study of the transverse velocity-gradient component," J. Fluid Mech. 164, 217–236 (1986). [CrossRef]
  3. W. J. Tomlinson, "Volume holograms in photochromic materials," Appl. Opt. 14, 2456–2467 (1975). [CrossRef] [PubMed]
  4. J. C. Agüí and J. Hesselink, "Holographic measurements of velocity gradients in fluids," Bull. Am. Phys. Soc. 32, 2106 (1987).
  5. J. C. Agüí and L. Hesselink, "Holograms in motion. II. Diffracting capabilities of strained holograms," J. Opt. Soc. Am. A 5, 1297–1308 (1988). [CrossRef]
  6. H. J. Eichler, "Forced light scattering at laser induced gratings—a method for investigation of optically excited solids," Festkoerperprobleme 8, 241–263 (1978).
  7. J. C. Agüí and J. Hesselink, "Volume holography in flowing liquids," J. Opt. Soc. Am. A 4(13), P76 (1987).
  8. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  9. J. A. Ratcliffe, "Some aspects of diffraction theory and their application to the ionosphere," Rep. Prog. Phys. 19, 188–267 (1956). [CrossRef]
  10. H. Tennekes and J. L. Lumley, A First Course in Turbulence (MIT Press, Cambridge, Mass., 1972).
  11. G. H. Brown, ed., Photochromism, Vol. III of Techniques of Chemistry (Wiley-Interscience, New York, 1971).
  12. R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography (Academic, New York, 1971).
  13. R. N. Bracewell, Fourier Transform and Its Applications (McGraw-Hill, New York, 1978).
  14. R. S. Rogallo, "Numerical experiments in homogeneous turbulence," Tech. Rep. Tm 81315 (National Aeronautics and Space Administration, Ames Research Center, Moffett Field, Calif., 1981).
  15. J. H. Ferziger, Numerical Methods for Engineering Applications (Wiley-Interscience, New York, 1981).

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