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

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]

IEEE J. Light. Tech.

• M. Sumetsky, "Basic elements for microfiber photonics: Micro/nanofibers and microfibre coil resonators," IEEE J. Light. Tech. 26,21-27 (2008). [CrossRef]
• F. Xu, P. Horak, and G. Brambilla, "Optimised design of microcoil resonators," IEEE J. Light. Tech. 25,1561- 1567 (2007). [CrossRef]

IEEE J. Quant. Elect.

• K. Ogusu, "Dynamic Behavior of Reflection Optical Bistability in a Nonlinear Fiber Ring Resonator," IEEE J. Quant. Elect. 32,1537-1543 (1996). [CrossRef]

IEEE Photonics Technology Letters

• F. Xu and G. Brambilla, "Manufacture of 3-D microfiber coil resonators," IEEE Photonics Technology Letters 19,1481-1483 (2007). [CrossRef]

Opt. Lett.

• F. Xu and G. Brambilla, "Embedding optical microfiber coil resonators in Teflon," Opt. Lett. 32,2164-2166 (2007). [CrossRef] [PubMed]
• Q. Xu and M. Lipson, "Carrier-induced optical bistability in silicon ring resonators," Opt. Lett. 31,341-343 (2006). [CrossRef] [PubMed]

Optics Express

• M. Sumetsky, "Optical fiber microcoil resonator," Optics Express 12,2303 (2004). [CrossRef] [PubMed]
• M. Sumetsky, "Uniform coil optical resonator and waveguide: transmission spectrum, eigenmodes, and dispersion relation," Optics Express 13,4331 (2005). [CrossRef] [PubMed]

Phys. Rev. E

• 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]

Other

• J. Nocedal and S. J. Wright, Numerical Optimisation, 1st ed. (Springer-Verlag, New York, 1999). [CrossRef]
• 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.
• G. P. Agrawal, Nonlinear Fibre Optics, 3rd ed. (Academic Press, San Diego, 2001).

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