Abstract

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.

Highlights

  • Sumetsky[1, 2] proposed and described a new type of optical resonator, the optical microcoil resonator (OMR)

  • OMCRs posses the unique feature that they are essentially two dimensional resonators they can only be embedded in a 3 dimensional space

  • For practical applications OMCRs are formed from tapered SMF fibres and so coupling light into and out of the resonators is a trivial task

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Summary

Introduction

Sumetsky[1, 2] proposed and described a new type of optical resonator, the optical microcoil resonator (OMR). In this resonator light can travel up in two different ways - either by propagating along the length of the fibre or, more quickly, by coupling from one coil to the next. Light can descend by coupling from one coil to the coil below It can be thought of as the optical equivalent of a game of. Just as a game of snakes and ladders need never end with the player alternatively ascending ladders and descending snakes so light can get trapped in a OMR by coupling up and down in equal measures. In this paper I extend the previous analysis to look at the nonlinear properties of OMR as well as discussing the linear properties in some detail

Theoretical model
Group velocity and dispersion of Microcoil resonators
Nonlinear Microcoil resonators
Discussion and conclusions
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