OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 11, Iss. 2 — Feb. 1, 1986
  • pp: 76–78

Unstable resonators with negative equivalent Fresnel numbers

A. H. Paxton  »View Author Affiliations


Optics Letters, Vol. 11, Issue 2, pp. 76-78 (1986)
http://dx.doi.org/10.1364/OL.11.000076


View Full Text Article

Enhanced HTML    Acrobat PDF (302 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The equivalent Fresnel numbers of two unstable resonators of current interest for application in free-electron lasers are negative. For a resonator of this class, the equivalent collimated round-trip propagation of Siegman’s canonical formulation is a time-reversed propagation, and the modes and eigenvalues are the complex conjugates of those corresponding to a resonator having a positive equivalent Fresnel number with the same magnitude.

© 1986 Optical Society of America

History
Original Manuscript: August 12, 1985
Manuscript Accepted: November 18, 1985
Published: February 1, 1986

Citation
A. H. Paxton, "Unstable resonators with negative equivalent Fresnel numbers," Opt. Lett. 11, 76-78 (1986)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-11-2-76


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. E. Siegman, IEEE J. Quantum Electron. QE-12, 35 (1976). [CrossRef]
  2. A. H. Paxton, T. C. Salvi, Opt. Commun. 26, 305 (1978); T. C. Salvi, A. H. Paxton, Appl. Opt. 18, 2098 (1979). [CrossRef]
  3. M. Piche, P. Lavigne, F. Martin, P.A. Belanger, Appl. Opt. 22, 1999 (1983). [CrossRef] [PubMed]
  4. K. E. Oughstun, P. A. Slaymaker, K. A. Bush, IEEE J. Quantum Electron. QE-19, 1558 (1983). [CrossRef]
  5. P. G. Gobbi, G. C. Reali, Opt. Commun. 52, 195 (1984); P. G. Gobbi, S. Morosi, G. C. Reali, A. S. Zarkasi, Appl. Opt. 24, 26 (1985). [CrossRef] [PubMed]
  6. A. H. Paxton, L. M. Gutheinz, Electro-Opt. Syst. Design 14, 31 (1982).
  7. G. T. Moore, Proc. Soc. Photo-Opt. Instrum. Eng. 453, 255 (1983).
  8. S. A. Mani, J. H. Hammond, in Proceedings of the International Conference on Lasers 81, C. B. Collins, ed. (STS, McLean, Va., 1981), p. 586.
  9. P. R. Akkapeddi, P. Glenn, A. Fuschetto, Q. Appert, V. K. Viswanathan, presented at Southwest Conference on Optics, March 4–8, 1985, Albuquerque, N.M.
  10. A. Sarnik, P. Glenn, presented at Southwest Conference on Optics, March 4–8, 1985, Albuquerque, N.M.
  11. If, however, the resonator mode has a focus between the image location and the outcoupling aperture, an image location before the outcoupling aperture corresponds to a negative equivalent Fresnel number. A similarity transformation of the round-trip propagation matrix will move the image location past the outcoupling aperture, with no intervening focus. The appropriate similarity transformation corresponds to the placement of a lens with some focal length f1 immediately in front of the outcoupling aperture and a lens with focal length −f1 immediately behind the outcoupling aperture.
  12. E. A. Sziklas, A. E. Siegman, Appl. Opt. 14, 1874 (1975). [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.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4 Fig. 5
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited