OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 4, Iss. 9 — Sep. 1, 1979
  • pp: 300–302

Asymptotic approaches to marginally stable resonators

J. Nagel, D. Rogovin, P. Avizonis, and R. Butts  »View Author Affiliations


Optics Letters, Vol. 4, Issue 9, pp. 300-302 (1979)
http://dx.doi.org/10.1364/OL.4.000300


View Full Text Article

Enhanced HTML    Acrobat PDF (351 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present analytical solutions valid for large Fresnel number of the Fresnel–Kirchhoff integral equation for marginally stable resonators, for the specific case of flat circular mirrors. The asymptotic approaches used for curved mirrors have been extended to the waveguide region given by m < 1 + 1 / N. The resonator modes are expressed in terms of a slowly varying core term similar in form to the electromagnetic fields of a closed resonator and a small, rapidly oscillating term arising from diffraction around the mirror edge.

© 1979 Optical Society of America

History
Original Manuscript: April 30, 1979
Published: September 1, 1979

Citation
J. Nagel, P. Avizonis, R. Butts, and D. Rogovin, "Asymptotic approaches to marginally stable resonators," Opt. Lett. 4, 300-302 (1979)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-4-9-300


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. R. R. Butts, P. V. Avizonis, “Asymptotic analysis of unstable resonators with circular mirrors,” J. Opt. Soc. Am. 68, 1071–1076 (1978). [CrossRef]
  2. P. Horowitz, “Asymptotic theory of unstable resonator modes,” J. Opt. Soc. Am. 63, 1528–1542 (1973). [CrossRef]
  3. L. Weinstein, Open Resonators and Open Waveguides (Golem Press, Boulder, Colorado, 1969).
  4. H. Kogelnik, T. Li, “Laser beams and resonators,” Proc. IEEE 54, 1312–1329 (1966). [CrossRef]
  5. A. Fox, T. Li, “Resonant modes in a maser interferometer,” Bell Syst. Tech. J. 40, 453–488 (1961).

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.

Figures

Fig. 1
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited