国防科学技术大学 光电科学与工程学院， 长沙 410073
采用Laplace变换的方法求解了无损耗情况下层叠Blumlein线输出电压的解析表达式。从传输线两端口网络模型出发，分别求出了负载端短路和开路时传输线特征阻抗的频域表达式。简化了单Blumlein线电路结构，并求出了其输出电压的解析表达式。在此基础上，结合电路叠加原理，求解出了典型的2级层叠Blumlein线输出电压的时域解析表达式。采用递推法，推广得到任意级数情况下的输出电压波解析解。
层叠Blumlein线 两端口网络模型 脉冲解析解 递推法 stacked Blumlein lines two-port network model analytical expression of pulse recurrence method
Author Affiliations
Abstract
1 School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China
2 Laboratory of Photonic Information Technology, School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510006, China
Based on the technique of the symmetry reduction, we find the asymptotic self-similarity analytical resolutions from the constant coefficient Ginzburg-Landau equation considering both in°uences of the third-order dispersion and gain dispersion on the evolution of pulses. We have obtained the self-similar pulse amplitude function, phase function, strict linear chirp function, and the e?ective temporal pulse width. Numerical simulations show qualitative agreement with these theoretical results.
三阶色散 自相似脉冲解析解 Ginzburg-Landau方程 线性啁啾 190.4370 Nonlinear optics, fibers 060.2310 Fiber optics Chinese Optics Letters
2010, 8(1): 89
