OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 19, Iss. 21 — Nov. 1, 1994
  • pp: 1693–1695

Q spoiling and directionality in deformed ring cavities

J. U. Nöckel, A. D. Stone, and R. K. Chang  »View Author Affiliations

Optics Letters, Vol. 19, Issue 21, pp. 1693-1695 (1994)

View Full Text Article

Enhanced HTML    Acrobat PDF (461 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A ray-optics model is developed to describe the spoiling of the high-Q (whispering gallery) modes of ring-shaped cavities as they are deformed from perfect circularity. A sharp threshold is found for the onset of Q spoiling as predicted by the Kolmogorov-Arnol’d-Moser (KAM) theorem of nonlinear dynamics. Beyond the critical deformation bc, Q ~ (bbc)−α,α ≈ 2.4–2.6. The escaping light emerges in certain specific directions, which may be predicted.

© 1994 Optical Society of America

Original Manuscript: June 20, 1994
Published: November 1, 1994

J. U. Nöckel, A. D. Stone, and R. K. Chang, "Q spoiling and directionality in deformed ring cavities," Opt. Lett. 19, 1693-1695 (1994)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. F. Owen, P. W. Barber, P. B. Dorain, R. K. Chang, Phys. Rev. Lett. 47, 1075 (1981). [CrossRef]
  2. S. C. Hill, R. E. Benner, in Optical Effects Associated with Small Particles, P. W. Barber, R. K. Chang, eds. (World Scientific, Singapore, 1988), p. 3.
  3. L. Collot, V. Lefè-Seguin, M. Brune, J. M. Raimond, S. Haroche, Europhys. Lett. 23, 327 (1993). [CrossRef]
  4. S. L. McCall, A. F. Levi, R. E Slusher, S. J. Pearton, R. A. Logan, Appl. Phys. Lett. 60, 289 (1992). [CrossRef]
  5. B. R. Johnson, J. Opt. Soc. Am. A 10, 343 (1993). [CrossRef]
  6. L. E. Reichl, The Transition to Chaos (Springer-Verlag, Berlin, 1992), Chap. 2, p. 39.
  7. D. D. Holm, G. Kovacic, Physica D 51, 177 (1991). [CrossRef]
  8. M. Robnik, J. Phys. A 16,3971 (1983); M. Robnik, J. Phys. A 17,1049 (1983). [CrossRef] [PubMed]
  9. M. V. Berry, M. Robnik, J. Phys. A 19,649 (1986). [CrossRef]
  10. M. V. Berry, Eur. J. Phys. 2, 91 (1981). [CrossRef]
  11. D. Q. Chowdhury, P. W. Barber, S. C. Hill, Appl. Opt. 31, 3518 (1992). [CrossRef] [PubMed]
  12. B. Chirikov, Phys. Rep. 52, 263 (1979). [CrossRef]

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