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IEEJ Transactions on Fundamentals and Materials

Characteristics of the Optical Resonator Composed of the Nonlinear Directional Coupler

Kiyoshi Kishioka

Published Jan 1, 2003• 3 citations
Publisher

Abstract

This paper describes a simple analyzing method on the optical resonator compose of the nonlinear directional coupler. Assumed the coupler made in the semiconductor-doped glass with the K+-ion diffused technique, the transmitted- and reflected-characteristics are calculated and demonstrated. The parameter dependence of the bistability appearing the transmitted and reflected lights is also presented.

DOI
10.1541/ieejfms.123.1166

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This paper describes a simple analyzing method on the optical resonator compose of the nonlinear directional coupler. Assumed the coupler made in the semiconductor-doped glass with the K+-ion diffused technique, the transmitted- and reflected-characteristics are calculated and demonstrated. The parameter dependence of the bistability appearing the transmitted and reflected lights is also presented.
This paper describes a simple method of analysis of an optical resonator composed of a nonlinear directional coupler. Assuming the coupler is made in semiconductor-doped glass by the K+-ion diffused technique, the transmission and reflection characteristics are calculated and demonstrated. The parameter dependence of the bistability appearing in the transmitted and reflected light is also presented. © 2004 Wiley Periodicals, Inc. Electr Eng Jpn, 150(3): 1–10, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/eej.20036
In the nonlinear directional coupler, the optical field and the nonlinear material usually interact in a spatially and temporally local fashion and the device exhibits a nonlinear transmission characteristics, but it is not bistable. In this paper, it is shown theoretically that optical bistability in the input optical power is possible for the nonlinear directional coupler if the local phase change of the optical mode propagating through tile coupler is influenced by the excitation over the whole coupler. This condition can be satisfied in a coupler based on biased-pin-diodes comprising coupled asymmetric quantum wells in the i-region, Calculations show that in this configuration, the nonlinear directional coupler can exhibit sharp switching characteristics, low switching optical powers, optical bistability or bifurcation.
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.
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).