OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 10, Iss. 5 — May. 1, 1971
  • pp: 1160–1163

Equivalence Relations in a Class of Distributed Optical Systems–Lenslike Media

S. Yamamoto and T. Makimoto  »View Author Affiliations

Applied Optics, Vol. 10, Issue 5, pp. 1160-1163 (1971)

View Full Text Article

Enhanced HTML    Acrobat PDF (444 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Equivalence properties of lenslike media with parabolic index profiles are analyzed on the basis of geometrical optics. By equivalent media we mean here those with the same ray-transfer matrix representation. An equivalence theorem is presented that provides a simple method of equivalent transformation of parabolic media. The practical importance of the equivalent transformation is that it leads to flexibility in the design of distributed optical structures, such as gas lenses and inhomogeneous optical fibers.

© 1971 Optical Society of America

Original Manuscript: December 21, 1970
Published: May 1, 1971

S. Yamamoto and T. Makimoto, "Equivalence Relations in a Class of Distributed Optical Systems–Lenslike Media," Appl. Opt. 10, 1160-1163 (1971)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. P. Gordon, H. Kogelnik, Bell Syst. Tech. J. 43, 2873 (1964).
  2. D. Marcuse, IEEE Trans. MTT–13734 (1965).
  3. P. K. Tien, J. P. Gordon, J. R. Whinnery, Proc. IEEE 53, 129 (1965). [CrossRef]
  4. K. Nishida, Y. Nannichi, T. Uchida, I. Kitano, Proc. IEEE (Lett.) 58, 790 (1970). [CrossRef]
  5. H. Kogelnik, T. Li, Proc. IEEE 54, 1312 (1966). [CrossRef]
  6. D. W. Berreman, Bell Syst. Tech. J. 43, 1469 (1964).
  7. H. G. Unger, Arch. Elek. Übertrag. 19, 189 (1965).
  8. H. Kogelnik, Appl. Opt. 4, 1562 (1965). [CrossRef]
  9. Y. Suematsu, T. Kitano, IECE Natl. Conv. Rec. (Japan), No. 535 (1967).
  10. S. E. Miller, Bell Syst. Tech. J. 43, 1741 (1964).

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.


Fig. 1 Fig. 2

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited