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Japanese Journal of Applied Physics

A Simple Experiment of Simulating Optical Bistability with an Oscilloscope and Photodiodes

Ching-Sheu Wang, Chih-Sheng Lau, Jow-Tsong Shy, Yih-Shun Gou

Published Dec 1, 1991• 2 citations
Publisher

Abstract

This paper presents a novel and simple hybrid optical bistable system which is composed of an oscilloscope and photodiodes. It allows us to easily control its parameters, including transmission function, feedback amplification, and time of delay feedback. Here, we will present the features of bistability, multistability and self-oscillation in this system and also the dynamical behaviors induced by the effect of the delay in the feedback loop of this optical bistable system.

DOI
10.1143/jjap.30.3403

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Topical Meeting on Optical Bistability (OB)•Jan 1, 1985•0 citations
This paper presents a novel and simple hybrid optical bistable system which is composed of an oscilloscope and photodiodes. It allows us to easily control its parameters, including transmission function, feedback amplification, and time of delay feedback. Here, we will present the features of bistability, multistability and self-oscillation in this system and also the dynamical behaviors induced by the effect of the delay in the feedback loop of this optical bistable system.
A coupled hybrid optical bistable device composed of two oscilloscopes and two photodiode detectors has been constructed. This device is used to experimentally simulate the basic feature of the flip-flop operator proposed by Otsuka [Opt. Lett. 14 (1989) 72]. Most importantly, it allows us to model the system easily, and hence the condition of an occurrence of the flip-flop operation is accordingly predicted by the linear stability analysis. Furthermore, the influences of symmetry property of the optical system upon the flip-flop operation have been discussed as well.
In a previous paper1an empirical and analytical study of instabilities in hybrid optical bistable systems was reported by us. At the end of that paper and in order to study the theory, a triangular voltage bias was added to the feedback, instead of the usual constant one. In that way the workline is displayed with the same slope, tg−1βIIN. Because the slope transmission ( dT dV ) was negative, the output, for a constant input, was periodic oscillations having a delay time larger the material response time. The nomenclature is explained in ref. 1.
Optoelectronic hybrid bistability and multistability in an active interferometer using a laser diode are demonstrated experimentally. The active laser-diode interferometer is composed of a Twyman-Green interferometer with an electronic feedback circuit. By feeding back the interferometer output together with an external light input through a detector to control thelaser-diode injection current, the optical bistable and multistable states of the output power from the laser diode are observed. Bistable operation does not require cutoff or saturation in the amplifier. The theoretical background of the phenomena is discussed.
In the linear instability analysis of the difference-differential equation which describes the dynamic behaviors of optical bistability with delayed feedback, introducing degree of stability S, which is defined as the ratio between relative variations of input and output intensities(1), we find that for long delay time instability condition is S≥2 and possible oscillation periods are approximately T ¯ = 2 T / ( 2 n + 1 ) but for short delay time the condition is S≥1 + πτ/2T and the periods are T ¯ = 4 T / ( 4 n + 1 ) . So the generation of instability for long delay time is easier than for short one, as shown in Fig.1.