OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 10, Iss. 5 — May. 1, 1971
  • pp: 1157–1159

Mode Matching with a Single Thin Lens

G. E. Francois, F. M. Librecht, and J. J. Engelen  »View Author Affiliations

Applied Optics, Vol. 10, Issue 5, pp. 1157-1159 (1971)

View Full Text Article

Enhanced HTML    Acrobat PDF (328 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



From consideration of the physical mechanism of the matching of gaussian modes by means of a single thin lens, a straightforward method is developed for determining the position and the focal length of this lens, when the position and the size of the beam waists are given. The analytic results, although based on a quadratic equation, are unambiguous. An approximate solution is given for the case when the ratio of the beam waists approaches unity. The position of the matching lens may be determined graphically.

© 1971 Optical Society of America

Original Manuscript: August 31, 1970
Published: May 1, 1971

G. E. Francois, F. M. Librecht, and J. J. Engelen, "Mode Matching with a Single Thin Lens," Appl. Opt. 10, 1157-1159 (1971)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. H. Kogelnik, Bell Syst. Tech. J. 44, 455 (1965).
  2. S. A. Collins, Appl. Opt. 3, 1263 (1964). [CrossRef]
  3. T. Li, Appl. Opt. 3, 1315 (1964). [CrossRef]
  4. T. S. Chu, Bell Syst. Tech. J. 45, 287 (1966).
  5. H. Kogelnik, T. Li, Proc. IEEE 54, 1312 (1966). [CrossRef]
  6. P. Laures, Appl. Opt. 6, 747 (1967). [CrossRef] [PubMed]

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