OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 65, Iss. 1 — Jan. 1, 1975
  • pp: 56–58

Expansion of a plane wave in terms of Laguerre-gaussian functions and the spectral response of Selfocs®

P. M. Tannenbaum  »View Author Affiliations


JOSA, Vol. 65, Issue 1, pp. 56-58 (1975)
http://dx.doi.org/10.1364/JOSA.65.000056


View Full Text Article

Acrobat PDF (262 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The coefficients for the expansion of a plane wave in terms of the eigenstates (modes) of a Selfoc® fiber are derived. This result is used as the basis for a suggestion for a new optical fiber whose spectral response could be any one of the functions used extensively in colorimetric instrumentation.

Citation
P. M. Tannenbaum, "Expansion of a plane wave in terms of Laguerre-gaussian functions and the spectral response of Selfocs®," J. Opt. Soc. Am. 65, 56-58 (1975)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-65-1-56


Sort:  Author  |  Journal  |  Reset

References

  1. A. Messiah, Quanlum Mechanics (North–Holland, Amsterdam, 1961), p. 359.
  2. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1962), Ch. 16.
  3. Reference 1, Ch. 16.
  4. H. Kogelnik, in Proceedings of Symposium on Quasi-Optics (Polytechnic Press, New York, 1964).
  5. Reference 1, Ch. 5.
  6. W. Streifer and C. N. Kurtz, J. Opt. Soc. Am. 57, 779 (1967).
  7. Reference 1, Appendix A.
  8. G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University, London, 1922), p. 20.
  9. W. Magnus and F. Oberhettinger, Formulas and Theory for Special Functions of Mathematical Physics (Springer, New York, 1966), Ch. 5.
  10. Reference 8, p. 395.
  11. Reference 8, p. 394.
  12. Reference 9, Ch. 6.
  13. Reference 9, Ch. 5.
  14. R. Eisberg, Fundamentals of Modern Physics (Wiley, New York, 1961), p. 57.
  15. A. W. Snyder and C. Pask, J. Opt. Soc. Am. 63, 806 (1973).
  16. D. Marcuse, Light Transmission Optics (Van Nostrand-Reinhold, New York, 1972).
  17. P. M. Tannenbaum, J. Opt. Soc. Am. 64, 89 (1974).
  18. Millimeter and Submillimeter Techniques, edited by R. A. Benson (ILI FFE Books, London, 1969), Ch. 18.
  19. Reference 16, p. 250.

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