OSA's Digital Library

Optics Express

Optics Express

  • Editor: Martijn de Sterke
  • Vol. 16, Iss. 20 — Sep. 29, 2008
  • pp: 16247–16254

Optical Snakes and Ladders: Dispersion and nonlinearity in microcoil resonators

N. G. R. Broderick  »View Author Affiliations

Optics Express, Vol. 16, Issue 20, pp. 16247-16254 (2008)

View Full Text Article

Enhanced HTML    Acrobat PDF (245 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Microcoil resonators are a radical new geometry for high Q resonators with unique linear features. In this paper I briefly summarise their linear properties before extending the analysis to nonlinear interactions in microcoil resonators. As expected such nonlinear resonators are bistable and exhibit hysteresis. Finally I discuss possible applications and extensions to such resonators.

© 2008 Optical Society of America

OCIS Codes
(060.2340) Fiber optics and optical communications : Fiber optics components
(190.4370) Nonlinear optics : Nonlinear optics, fibers

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: August 5, 2008
Revised Manuscript: August 27, 2008
Manuscript Accepted: September 1, 2008
Published: September 26, 2008

N. G. Broderick, "Optical Snakes and Ladders: Dispersion and nonlinearity in microcoil resonators," Opt. Express 16, 16247-16254 (2008)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. Sumetsky, "Optical fiber microcoil resonator," Optics Express 12,2303 (2004). [CrossRef] [PubMed]
  2. M. Sumetsky, "Uniform coil optical resonator and waveguide: transmission spectrum, eigenmodes, and dispersion relation," Optics Express 13,4331 (2005). [CrossRef] [PubMed]
  3. M. Sumetsky, "Basic elements for microfiber photonics: Micro/nanofibers and microfibre coil resonators," IEEE J. Light. Tech. 26,21-27 (2008). [CrossRef]
  4. F. Xu and G. Brambilla, "Manufacture of 3-D microfiber coil resonators," IEEE Photonics Technology Letters 19,1481-1483 (2007). [CrossRef]
  5. F. Xu and G. Brambilla, "Embedding optical microfiber coil resonators in Teflon," Opt. Lett. 32,2164-2166 (2007). [CrossRef] [PubMed]
  6. F. Xu, P. Horak, and G. Brambilla, "Optimised design of microcoil resonators," IEEE J. Light. Tech. 25,1561- 1567 (2007). [CrossRef]
  7. It should be noted that there are at least two misprints in Sumetsky???s Optics Express paper [2]. Firstly in Eq. 1 there is a factor i missing on the L.H.S. Secondly in the equation for the transmission a factor of exp(i® l) is missing. Both of these misprints do not occur in his original paper.
  8. G. P. Agrawal, Nonlinear Fibre Optics, 3rd ed. (Academic Press, San Diego, 2001).
  9. A. B. Aceves, C. DeAngelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete selftrapping, soliton interactions and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53,1172-1189 (1996). [CrossRef]
  10. K. Ogusu, "Dynamic Behavior of Reflection Optical Bistability in a Nonlinear Fiber Ring Resonator," IEEE J. Quant. Elect. 32,1537-1543 (1996). [CrossRef]
  11. Q. Xu and M. Lipson, "Carrier-induced optical bistability in silicon ring resonators," Opt. Lett. 31,341-343 (2006). [CrossRef] [PubMed]
  12. J. Nocedal and S. J. Wright, Numerical Optimisation, 1st ed. (Springer-Verlag, New York, 1999). [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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited