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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Small-signal amplification by period-doubling bifurcation in an acousto-optic bistable system

Yongda Li, Ke Shen, Liqun Huang, Wenxuan Guo

Published Dec 1, 1993• 1 citation
Publisher

Abstract

A theoretical investigation has been undertaken to study the amplification of small-signal by an acousto-optic bistable system operating in the Bragg regime. Numerical solutions of the difference-differential equation show strong coupling between small-signal and the optical bistable system. Near the bifurcation point an amplification of 23 is obtained. computed time plots for different parameters and the beat characteristic curve are given.

DOI
10.1117/12.164769

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A theoretical investigation has been undertaken to study the amplification of small-signal by an acousto-optic bistable system operating in the Bragg regime. Numerical solutions of the difference-differential equation show strong coupling between small-signal and the optical bistable system. Near the bifurcation point an amplification of 23 is obtained. computed time plots for different parameters and the beat characteristic curve are given.
Previous research with acousto-optic hybrid optical/electronic (HOE) bistable devices has been directed towards operation in the first Bragg regime.1 We have demonstrated several simulations and experiments to study a HOE bistable system in the second Bragg regime. In this bistable system, the acousto-optic device operates in the second order with the light incident at twice the Bragg angle. To achieve optical bistability, the second order diffracted light is detected by a photodetector, amplified with a linear amplifier, summed with a bias voltage, and feedback to the acousto-optic device. The operation of the acousto-optic device can be explained by a set of coupled differential equations. Likewise, the feedback loop can be modeled with a feedback equation. The simultaneous solution of these equations provided our theoretical model. In this talk, we will compare theoretical and experimental results, as well as compare first order and second order operation.
Over the past decade, research with acoustooptic hybrid bistable devices has been primarily concerned with operation in the first Bragg regime involving two to four diffracted orders. In this paper, a model that includes both acoustooptic diffraction and nonlinear feedback will be used to investigate optical bistability in the second Bragg regime. In addition, theoretical simulations will be used to compare this system with an identical system operating in the first Bragg regime. Theoretical and experimental results will be presented.
In this paper we report for the first time the presence of bistability in an acoustic-optic tunable filter (AOTF) operating with ultrashort (2 ps) optical light pulses. The results for the study of bistability has shown the dependence of the hysteresis curve with the product of the coupling constant (κ) by the length of the device (ξL) and the conversion power-coupling constant factor (G). The range of bistability varies significantly with both G and with κξL parameters. The variation of κξL directly increases the size of the range of bistability hysteresis while the increase in G causes the bistability to occur at low powers. The phenomenon of optical bistability (OB) is the object of increasing interest due to its possibilities for important device applications. A bistable device is a device with a capability to generate two different outputs for a given input and the physical requirements for this are an intensity-dependence refractive index and an optical feedback mechanism.
We present a theoretical study of optical bistability and differential amplification, arising as a consequence of the nonlinear Kerr effect in mutually coupled nonlinear microcavity resonators. The dependence of the bistability and differential amplification on various parameters of the coupling range and the resonators is investigated. Multiple closely spaced bistability of the internal intensity in the microresonator is found with appropriate parameters. The results may be useful for a complex logic, memory or switch operation system.
From the frequency dependence of the optical transmission characteristics of Raman-Nath acoustic-optic diffraction, the dynamic equations and steady-state solutions of a two-dimensional Raman-Nath acousto-optic bistable system are derived. In this system, feedback is realized by use of a diffracted light beam to control the frequency of the acoustic-optic driver. The curves of light output versus input corresponding to several orders of the diffracted beams are obtained by theoretical analysis. They can all lead to bistability. The amount of hysteresis is a function of the order of the diffracted beam, the bias frequency, and the feedback coefficient. Experimental results are presented and compared with theoretical analyses.