OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 57, Iss. 1 — Jan. 1, 1967
  • pp: 51–55

Nonparaxial Imaging, Magnification, and Aberration Properties in Holography

EDWIN B. CHAMPAGNE  »View Author Affiliations


JOSA, Vol. 57, Issue 1, pp. 51-55 (1967)
http://dx.doi.org/10.1364/JOSA.57.000051


View Full Text Article

Acrobat PDF (587 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

This study extends the imaging, magnification, and aberration properties of the images formed from holograms to the nonparaxial case. This extension yields expressions which can be used to locate accurately the position of an image point in those cases where the paraxial theory fails. The readout-illumination critical angles for image formation are predicted and related to the critical angles of a diffraction grating. The ratio of readout wavelength to recording wavelength is limited, and consequently wavelength-change magnification is limited, for certain types of holograms. The expressions developed are kept in the same form as those developed for the paraxial case so that the reduction to the paraxial case is obvious, and the many prior comments made on aberration reduction are applicable by a simple change of variable.

Citation
EDWIN B. CHAMPAGNE, "Nonparaxial Imaging, Magnification, and Aberration Properties in Holography," J. Opt. Soc. Am. 57, 51-55 (1967)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-57-1-51


Sort:  Author  |  Journal  |  Reset

References

  1. R. W. Meier, J. Opt. Soc. Am. 55, 987 (1965).
  2. E. N. Leith, J. Upatnieks, and K. A. Haines, J. Opt. Soc. Am. 55, 981 (1965).
  3. J. Armstrong, IBM J. Res. Develop. 9, 171 (1965).
  4. D. Gabor, Proc. Roy. Soc. (London) A197, 454 (1949); Proc. Phys. Soc. (London) A64, 449 (1951).
  5. E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 52, 1123 (1962).
  6. I. S. Sokolnikoff, Advanced Calculus (McGraw-Hill Book Co., New York, 1939), p. 303.
  7. D. B. Neumann, J. Opt. Soc. Am. 56, 858 (1966).
  8. G. W. Stroke, in Optical and Electro-Optical Information Processing, J. T. Tippett, D. A. Berkowitz, L. C. Clapp, C. J. Koester, and A. Vanderburgh, Jr., Eds. (MIT Press, Cambridge, Mass., 1965), p. 762.
  9. E. L. O'Neill, Introduction to Statistical Optics (Addison-Wesley Pub. Co., Reading, Mass., 1963), p. 47.
  10. M. Born and E. Wolf, Principles of Optics (Pergamon Press, New York, 1964), 2nd ed., pp. 217–218.
  11. E. L. O'Neill, Ref. 9, p. 52.
  12. J. B. DeVelis, G. B. Parrent, Jr., and B. J. Thompson, J. Opt. Soc. Am. 56, 423 (1966).
  13. R. W. Meier, J. Opt. Soc. Am. 56, 219 (1966).

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