Exact Solution to Rate Equation with Time-Dependent Coefficients： Its Application in InGaAsP Lasers  

作　　者：王刚 罗斌 潘炜 吴绍全 侯邦品 

机构地区：[1]School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031 [2]Department of Physics, Sichuan Normal University, Chengdu 610068

出　　处：《Chinese Physics Letters》2006年第3期535-538,共4页中国物理快报（英文版）

基　　金：Supported in part by the Specialized Research Fund for the Doctoral Program of Higher Education （SIZFDP） under Grant No 20030613007, the Natural Science Foundation of the Committee of Education of Sichuan Province under Grant No 2003A078, and the Funds for Major Basic Research Project of Sichuan Province under Grant No 02GY029-188.

摘　　要：By using the algebraic dynamics method, we obtain exact analytical solutions of rate equations with time-dependent coefficients, which might present an effective description of the physical mechanism of the practical semiconductor lasers. Based on the exact solutions, we investigate the dynamic behaviour and the emitted properties of the InGaAsP laser, which has been commonly used in long wavelength optical communication systems. It is found that when the cavity length varies with time exponentially, the output power of the laser will drop and approach its asymptote. When the cavity length is a sinusoid function of time, the intensity of the emitted optical pulses can be controlled by the amplitude of this function.By using the algebraic dynamics method, we obtain exact analytical solutions of rate equations with time-dependent coefficients, which might present an effective description of the physical mechanism of the practical semiconductor lasers. Based on the exact solutions, we investigate the dynamic behaviour and the emitted properties of the InGaAsP laser, which has been commonly used in long wavelength optical communication systems. It is found that when the cavity length varies with time exponentially, the output power of the laser will drop and approach its asymptote. When the cavity length is a sinusoid function of time, the intensity of the emitted optical pulses can be controlled by the amplitude of this function.

关 键 词：SEMICONDUCTOR-LASERS SYSTEMS HAMILTONIANS GAIN 

分 类 号：TN248[电子电信—物理电子学]