OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 38, Iss. 7 — Apr. 1, 2013
  • pp: 1077–1079

Thresholdless crescent waves in an elliptical ring

Kuan-Hsien Kuo, YuanYao Lin, and Ray-Kuang Lee  »View Author Affiliations

Optics Letters, Vol. 38, Issue 7, pp. 1077-1079 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (242 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



By introducing symmetry-breaking in geometry, we reveal the existence of thresholdless crescent waves, i.e., nonlinear diffractionless modes pinged to the boundary of a curvature, in an elliptical ring. An effective nonlinear Schrödinger equation along the azimuthal direction is derived by taking the transformation in the curvilinear coordinate of elliptical symmetry, which illustrates the formation of trapping potentials (barriers) along the semi-major (minor) axis. Our results demonstrate an alternative but efficient approach to access optical modes with a variety of inhomogeneous potentials.

© 2013 Optical Society of America

OCIS Codes
(240.4350) Optics at surfaces : Nonlinear optics at surfaces
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

Original Manuscript: November 26, 2012
Revised Manuscript: February 8, 2013
Manuscript Accepted: February 25, 2013
Published: March 21, 2013

Kuan-Hsien Kuo, YuanYao Lin, and Ray-Kuang Lee, "Thresholdless crescent waves in an elliptical ring," Opt. Lett. 38, 1077-1079 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. C. P. Jisha, Y. Y. Lin, T.-D. Lee, and R.-K. Lee, Phys. Rev. Lett. 107, 183902 (2011). [CrossRef]
  2. I. E. Tamm, Z. Phys. 76, 849 (1932). [CrossRef]
  3. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Lett. 32, 2948 (2007). [CrossRef]
  4. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006). [CrossRef]
  5. A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tunnermann, and Yu. S. Kivshar, Phys. Rev. Lett. 101, 203902 (2008). [CrossRef]
  6. S. M. Vukovic, I. V. Shadrivov, and Yu. S. Kivshar, Appl. Phys. Lett. 95, 041902 (2009). [CrossRef]
  7. S. H. Nam, E. Ulin-Avila, G. Bartal, and X. Zhang, Opt. Lett. 35, 1847 (2010). [CrossRef]
  8. Y. Y. Lin, R.-K. Lee, and Yu. S. Kivshar, Opt. Lett. 34, 2982 (2009). [CrossRef]
  9. W. Shockley, Phys. Rev. 56, 317 (1939). [CrossRef]
  10. W.-X. Yang, Y. Y. Lin, T.-D. Lee, R.-K. Lee, and Yu. S. Kivshar, Opt. Lett. 35, 3207 (2010). [CrossRef]
  11. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons(Academic, 2003).
  12. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Lett. 34, 283 (2009). [CrossRef]
  13. Y. Y. Lin and R.-K. Lee, Opt. Lett. 33, 1377 (2008). [CrossRef]
  14. A. S. Desyatnikov, A. A. Sukhorukov, and Yu. S. Kivshar, Phys. Rev. Lett. 95, 203904 (2005). [CrossRef]
  15. Y. V. Bludov, Y. V. Kartashov, and V. V. Konotop, Opt. Lett. 35, 3339 (2010). [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. Fig. 3.
Fig. 4.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited