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Journal of Nonlinear Optical Physics & Materials

COUPLER-LOSS AND COUPLING-COEFFICIENT DEPENDENCE OF BISTABILITY AND INSTABILITY IN A FIBER RING RESONATOR: NONLINEAR BEHAVIORS

Preecha P. Yupapin, P. Saeung, W. Suwancharoen

Published Mar 1, 2007• 13 citations
Publisher

Abstract

In this paper we demonstrate the dynamic simulation of light traveling in a nonlinear fiber optic ring resonator (FORR) with a single coupler. The mathematical relations describing the nonlinear characteristics of the FORR are derived from light transmission theory in linear optical systems. Optical nonlinear phenomena such as bifurcation and chaos are investigated for optical bistability and the Ikeda instability. It is found that for the Ikeda instability of light inside a FORR, the ring-cavity lifetime is much longer than the Kerr-effect response time of the fiber ring. Transmission curves of bistability and instability are shown as a function of the coupler insertion losses (γ) and the coupling coefficients (κ).

DOI
10.1142/s0218863507003585

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In this paper we demonstrate the dynamic simulation of light traveling in a nonlinear fiber optic ring resonator (FORR) with a single coupler. The mathematical relations describing the nonlinear characteristics of the FORR are derived from light transmission theory in linear optical systems. Optical nonlinear phenomena such as bifurcation and chaos are investigated for optical bistability and the Ikeda instability. It is found that for the Ikeda instability of light inside a FORR, the ring-cavity lifetime is much longer than the Kerr-effect response time of the fiber ring. Transmission curves of bistability and instability are shown as a function of the coupler insertion losses (γ) and the coupling coefficients (κ).
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We present a method for calculating the dynamic input–output characteristics of a nonlinear fiber ring resonator caused by a change in input intensity. It is based on an original method developed by Bischofberger and Shen [Phys. Rev. A 19, 1169 (1979)] to study a transient nonlinear Fabry–Perot resonator. We treat a double-coupler fiber ring resonator, in which two types of optical bistability (transmission bistability and reflection bistability) are available and present the illustrative numerical results for a few cavity parameters. This analysis will be useful for a future experimental verification of optical bistability in fiber ring resonators and for the design of fiber bistable devices.
A novel optical inverted bistable switch based on a nonlinear fiber ring resonator (FRR) containing a semiconductor optical amplifier (SOA) has been analyzed and experimentally demonstrated. Optical bistability is obtained due to the transmission characteristics of the resonator and the SOA's gain characteristics. A complete theoretical analysis and supporting simulations are presented. A prototype is demonstrated using commercial optical components. Experimental results show switching performance with falling times lower than 10 ns.
Based on the mechanism of Kerr effect in Brillouin Fiber-optic Ring Resonator(BFRR),the resonant cavity characteristic is researched theoretically when considering the Kerr effect,in order to get the possibility of occurrence of first-order Stokes light optical bistability. Experiments show that the optical bistability in 30 meters short cavity happens while input light intensity is about 440 μW,and the bistability is related with coupling coefficient and the insertion loss of the cavity coupler. Secondly,the Kerr effect in BFRR of Brillouin Fiber-optic Gyroscope (BFOG) is analyzed,focusing on the influence of resonant deviation on gyroscope nonlinear output and dynamic working range. Furthermore,the double-loop BFOG program is proposed,which provides a potential solution of Kerr effect error in Brillouin fiber-optic gyroscope.