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Southeastern Symposium on System Theory (SSST)

Hybrid Acousto-Optical Bistability in the Second-Order Bragg Regime

Mark D. McNeill, Ting‐Chung Poon

Published Aug 24, 2005• 1 citation
Publisher

Abstract

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.

DOI
10.1109/ssst.1992.712365

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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.
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.
In the last chapter, we examined the effect of cubic nonlinearity on selfrefraction of an optical beam. We have also seen that the presence of a quadratic nonlinearity can also contribute to change in the profile of a Gaussian beam in a crystal. In this chapter we will see how the effect of nonlinearity, alongwith the proper feedback, can give rise to optical bistability and hysteresis. This is not unexpected as hysteresis and bistability are also observed in nonlinear electronic circuits with feedback, such as in the Schmitt trigger, as well as in hybrid optical devices, such as an acoustooptic device with feedback (Banerjee and Poon, 1991). In what follows, we will examine two different types of optically bistable devices based on optical nonlinearities. The first is a nonlinear ring resonator comprising a two-level gain medium as the nonlinear element. We will treat both absorptive and dispersive bistability. Absorptive bistability is the case when the incident optical frequency is close to or equal to the transition frequency of the atoms from one level to another. In this case, the absorption coefficient becomes a nonlinear function of the incident intensity. On the other hand, if the frequencies are far apart, the medium behaves like a Kerr-type material and the system exhibits what is called dispersive bistability. In this case the material can be modeled by an effective n2 or v (3), meaning that the refractive index becomes a nonlinear function of the optical intensity. The second configurationwewill examine is a linear-nonlinear interface. In this case, the interface provides the feedback due to refractive index mismatch. In fact, the reflection coefficient (as well as the transmission coefficient) is modified due to the nonlinearity, which, as we shall see later, is responsible for demonstrating optical switching and bistability.