OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 9, Iss. 3 — Mar. 1, 1970
  • pp: 713–719

Holographic Dielectric Grating: Theory and Practice

Milton Chang and Nicholas George  »View Author Affiliations


Applied Optics, Vol. 9, Issue 3, pp. 713-719 (1970)
http://dx.doi.org/10.1364/AO.9.000713


View Full Text Article

Enhanced HTML    Acrobat PDF (765 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Lossy dielectric gratings have been analyzed using a Raman-Nath formalism modified to incorporate losses. Four second-order coupled wave equations are retained for computation of the zero, first- and second-order diffracted beams for a multitude of practical cases. Significant differences are found in comparison with computations in which only two coupled waves are retained. The entire range of losses and thicknesses encountered for holograms in film emulsions has been studied using this unified approach. Graphs have been prepared to show the efficiency, i.e., power diffracted in the first-order relative to the total incident power, vs the index modulation for a wide range of thicknesses and losses. At a given thickness, optimum frequency requires a specific exposure. The efficiency for an optimum exposure is plotted vs the loss factor with thickness as a parameter. New experimental data are presented for bleached gratings in which several diffracted orders are measured and compared to our theory for a wide range of index modulation and loss factors.

© 1970 Optical Society of America

History
Original Manuscript: August 25, 1969
Published: March 1, 1970

Citation
Milton Chang and Nicholas George, "Holographic Dielectric Grating: Theory and Practice," Appl. Opt. 9, 713-719 (1970)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-9-3-713


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. E. N. Leith, A. Kozma, J. Upatnieks, J. Marks, N. Massey, Appl. Opt. 5, 1301 (1966). [CrossRef]
  2. C. B. Burckhardt, J. Opt. Soc. Amer. 57, 601 (1967). [CrossRef]
  3. H. Kogelnik, in Modern Optics. J. Fox, Ed. (Polytechnic Press, Brooklyn, 1967).
  4. N. George, J. W. Matthews, Appl. Phys. Lett. 9, 212 (1966). [CrossRef]
  5. M. Born, E. Wolf, Principles of Optics (Pergamon Press, New York, 1965), p. 651.
  6. Ref. 5, p. 87.
  7. J. Brown, Microwave Lenses (Methuen and Co. Ltd., London, 1953).
  8. M. M. T. Chang, Holographic Dielectric Gratings (California Institute of Technology, Pasadena, 1969), Ph.D. thesis, pp. 18–19.
  9. C. E. Kenneth Mees, T. H. James, The Theory of the Photographic Process (The Macmillan Company, New York, 1952), Chap. 23, p. 499.
  10. H. Hannes, J. Opt. Soc. Amer. 58, 140 (1968). [CrossRef]
  11. C. V. Raman, N. S. N. Nath, Proc. Indian Acad. Sci. A2, 406, 413 (1935); Proc. Indian Acad. Sci. A3, 75, 119 (1936); also N. S. N. Nath, Proc. Indian Acad. Sci. A4, 222 (1936); Proc. Indian Acad. Sci. A8, 499 (1938).
  12. Ref. 5, Chap. 12.
  13. S. P. Gill, U.S. Office of Naval Research Contract Nonr 1866 (24) NR-384-903, Tech. Memo. 58 (1964).
  14. M. V. Berry, The Diffraction of Light by Ultrasound (Academic Press, Inc., London, 1966).
  15. W. R. Klein, B. D. Cook, IEEE Trans. Sonic Ultrasonics SU-14, 123 (1967). [CrossRef]
  16. Ref. 5, pp. 597, 598.
  17. H. Kogelnik, J. Opt. Soc. Amer. 57, 431 (1967). [CrossRef]
  18. Ref. 8, p. 61.
  19. P. Phariseau, Proc. Indian Acad. Sci. A44, 165 (1956).
  20. Ref. 8, p. 67.
  21. W. C. Miller, Publ. Astron. Soc. Pacific 76, 328 (1964). [CrossRef]
  22. J. C. Wyant, M. P. Givens, J. Opt. Soc. Amer. 58, 357 (1968). [CrossRef]
  23. 10 g potassium dichromate, 18 cc concentrated HCl in 1 liter of water.
  24. F. D. Perrin, J. H. Altman, J. Opt. Soc. Amer. 42, 462 (1952). [CrossRef]
  25. “Method for Producing Phase Holograms with Conventional Photographic Materials” Eastman Kodak Company, Special Applications, New York (1968).
  26. The unfixed plate is immersed in a shallow basin of water. Pour 1: 1 concentrated nitric acid into the basin until the plate starts to clear. The plate is rinsed in water and dried.
  27. J. Upatnieks, C. Leonard, Appl. Opt. 8, 85 (1969). [CrossRef] [PubMed]
  28. P. Glafkides, Photographic Chemistry (Fountain Press, London, 1960) Vol. 2, Chap. 42.

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