Abstract

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 $\overline{\text{T}}=2 \text{T}/(2\text{n}+1)$ but for short delay time the condition is S≥1 + πτ/2T and the periods are $\overline{\text{T}}=4\text{T}/(4\text{n}+1)$. So the generation of instability for long delay time is easier than for short one, as shown in Fig.1.

© 1985 Optical Society of America