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Journal of Lightwave Technology

Nonlinear fiber Fabry-Perot resonator using thermo-optic effect

Kazuhiko Ogusu, Shoji Yamamoto

Published Jan 1, 1993• 18 citations
Publisher

Abstract

A new nonlinear fiber-based Fabry-Perot resonator (FFPR) is proposed for bistable optical devices in fiber optics, The device is constructed by embedding a metal-dielectric Fabry-Perot resonator containing a thermo-optic material into a single-mode fiber. The transmission and attenuation characteristics of the linear FFPR have been analyzed under Gaussian-beam approximation by the method of plane-wave expansion. The effects of the mirror separation, the thickness of the metal mirror, the coating number of the multilayer mirror, and the spacer index have been investigated numerically. Moreover optical bistability in the nonlinear FFPR has been investigated by the graphical solution. It has been found that the input-output characteristics of the proposed FFPR are strongly affected by the angular divergence of the beam in the spacer. Optical bistability has been demonstrated experimentally at the milliwatt-power levels by using a 1.3- mu m diode laser and single-mode fibers.>

DOI
10.1109/50.251174

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A new nonlinear fiber-based Fabry-Perot resonator (FFPR) is proposed for bistable optical devices in fiber optics, The device is constructed by embedding a metal-dielectric Fabry-Perot resonator containing a thermo-optic material into a single-mode fiber. The transmission and attenuation characteristics of the linear FFPR have been analyzed under Gaussian-beam approximation by the method of plane-wave expansion. The effects of the mirror separation, the thickness of the metal mirror, the coating number of the multilayer mirror, and the spacer index have been investigated numerically. Moreover optical bistability in the nonlinear FFPR has been investigated by the graphical solution. It has been found that the input-output characteristics of the proposed FFPR are strongly affected by the angular divergence of the beam in the spacer. Optical bistability has been demonstrated experimentally at the milliwatt-power levels by using a 1.3- mu m diode laser and single-mode fibers.>
We study the nonlinear optical bistability and multistability of a nonlinear ferroelectric (FE) Fabry-Perot (FP) interferometer assumed coated with partial dielectric mirrors on its interfaces. The FE material is considered to have an intensity-dependent refractive index where the third order nonlinear susceptibility χ ilmn (3) acts like Kerr coefficient. The nonlinear response of the FE medium is modeled by the Landau-Khalatnikov (LK) dynamical equation. Within a single frequency approximation, the nonlinear wave equation is written in terms of polarization P rather than the electric field E as the dependent variable. The resulting nonlinear polarization equation is numerically integrated across the FP film using the fourth order Runge-Kutta method. The behavior of the resulting polarization and transmission as a function of the field input intensity is investigated.
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 nonlinear distributively coupled resonator (NDCR) used as a bistable element is studied. The resonator is an integrated optics implementation of a nonlinear Fabry-Perot resonator with a variable reflectivity mirror. Under certain conditions, the intensity-dependent reflectivity and tuning of the resonator contribute constructively and enhance nonlinear properties of the device. Numerical methods are used to optimize NDCR design parameters and show that the critical intensity required for onset of bistability is reduced by 30% relative to a comparable regular Fabry-Perot. Similarly, the minimum required index change is reduced by 10%.>
In this paper we consider the nonlinear Fabry-Perot and its applications to optical signal and image processing. This paper addresses the signal processing aspects of a nonlinear Fabry-Perot interferometer with emphasis on image processing. The device geometry is shown in Figure 1. A thin nonlinear medium, whose refractive index is a function of the light intensity inside the Fabry-Perot is sandwiched between two plane parallel mirrors. The output as a function of input is shown in Fig. 2, for two different values of the difference between the Fabry-Perot low intensity resonance and the incident wavelength. The bistable curve in 2a is the origin of the term optical bistability and makes possible an optical memory, in which the output is a function of the history of the device. The Figure 2b represents a typical nonlinear transfer curve which may be used for signal processing. It can be seen that small changes in the input intensity Ic make large changes in the output intensity.