半导体光放大器双稳现象的必要条件  

Necessary Conditions of Bistabilities in Fabry-Perot Semiconductor Optical Amplifiers

作　　者：王刚[1] 杜晓海 李凯凯[3] 李芮欣 

机构地区：[1]电子科技大学物理电子学院,成都610054 [2]海军装备部,西安710000 [3]西北机电工程研究所,陕西咸阳712099

出　　处：《半导体光电》2016年第3期323-326,共4页Semiconductor Optoelectronics

摘　　要：从描述F-P型半导体光放大器(FPSOA)腔内光强I_(av)与输入光强I_(in)、输出光强I_(out)之间关系的方程组出发,证明了I_(in)是I_(av)的单值函数。将I_(in)近似表示为I_(av)的三阶泰勒级数,则I_(in)对I_(av)的导数可以表示为一个关于变量I_(av)的一元二次方程。进一步地,从理论上论证了只有当该一元二次方程具有两个实数根时,FPSOA才处于双稳工作区。这样,FPSOA双稳现象的必要条件在数学上可以表示为该一元二次方程的判别式大于0。数值实验与解析结果吻合得很好。该研究结果对于具有类似结构器件的双稳现象研究具有一定的参考价值。Starting from the equations describing the relationship between the intracavity I_（av）,the incident I_（in）and the output beamIoutof a FPSOA,it is demonstrated that I_（in）is a single valued function of I_（av）.After expanding I_（in）into a third-order Taylor＇s series in terms of I_（av） approximately,the derivative of I_（in）with respect to I_（av）can be expressed as a quadratic equation in terms of I_（av）.Furthermore,it is verified that only when the quadratic equation owns two real roots,the FPSOA enters into bistable operation region.In other words,the discriminant of the quadratic equation being positive can be described as the necessary condition of bistability in FPSOAs.Numerical results agree well with the analytical formula.The results will afford a novel way for studying the bistability in other devices owning similar structures.

关 键 词：半导体光放大器 双稳 泰勒级数 

分 类 号：TN248.4[电子电信—物理电子学]