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International Journal of Nanotechnology and Molecular Computation

Two-Dimensional Nonlinear Fabry-Perot Interferometer

Youichi Okabayashi, Takashi Isoshima, Etsushi Nameda, Song-Ju Kim, Masahiko Hara

Published Jan 1, 2011• 4 citations
Publisher

Abstract

This study examined a possibility to use a two-dimensional nonlinear Fabry-Perot interferometer (2DNFP) as a novel information processing device. Optical bistability was realized through positive or negative feedback between heat generated by absorption of light and change in resonance condition induced by temperature-dependent refractive index. Due to heat conduction in lateral direction, “turn-on” wave propagates two-dimensionally in this device. A novel feature of this device is that the ON-state region can degenerate at suitably weak light intensity. The authors examined the function of 2DNFP as a maze solver utilizing the extension and degeneration modes, as well as its function as logic gates. “AND”, “OR”, and “NOT” gates were realized, thus the logical universality of the 2DNFP was demonstrated.

DOI
10.4018/jnmc.2011010102

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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.
This article theoretically proposes a multi-layer Fabry-Perot cavity structure based on nonlinear MoS2, whose cavity is composed of asymmetric photonic crystals. In this structure, we observed a low threshold optical bistability phenomenon on the order of a in the visible light band, which is caused by the large third-order nonlinear conductivity of the bilayer MoS2 and the Fabry-Perot cavity resonance. Research has found that when light is incident from two different directions in an asymmetric Fabry-Perot cavity, the optical bistability exhibits not exactly the same behavior. In addition, we further investigated and found that the optical bistability behavior in this simple multi-layer structure is closely related to parameters such as incident wavelength, Fabry-Perot cavity length, and refractive index of the photonic crystal dielectric. This work provides a new approach for the implementation of low threshold optical bistable devices in the visible light band, which is expected to be applied in nonlinear optical fields such as all optical switches and all optical logic devices.
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.
Optical bistability is a quantum optical realization of a first order phase transition far from equilibrium. A nonlinear optical material contained in an optical cavity driven resonantly by an external coherent optical field undergoes a first order phase transition to a new nonequilibrium stationary state of broken symmetry. Resonant and nonresonant nonlinear optical response of pi\\pipi-electron excitations in conjugated electronic structure provides the nonlinearity essential to the onset of bistability. Electronic correlation effects in reduced dimensions are responsible for nonresonant nonlinear optical responses. Saturable absorption studies of glassy polymer films consisting of quasi-two dimensional conjugated disc-like structure of silicon naphthalocyanine demonstrate that on-resonance the system behaves as an optical Bloch system with an intensity dependent refractive index of 1 times\\timestimes 10sp−4\\sp{-4}sp−4 cmsp2\\sp2sp2/kW. Based on the results of these studies, electronic absorptive optical bistability is observed on a nanosecond time scale in a nonlinear Fabry-Perot interferometer employing the saturable absorbing silicon naphthalocyanine film as the nonlinear optical medium.