高斯-谢尔脉冲在单模光纤中的传输特性研究

Study on propagation characteristics of Gaussian-Schell model pulses in single-mode optical fibers

为了研究高斯-谢尔模型(GSM)脉冲在单模光纤中的传输特性,采用相干函数传播分析法推导出GSM脉冲经单模光纤传输后输出脉冲的时间相干函数解析表达式,在此基础上分析脉冲宽度、相干时间和功率谱等特征量的变化,并推导出在远端条件下单模光纤的时域广义范西特-泽尼克定理.结果表明,GSM脉冲在单模光纤中的传输存在功率谱和全局相干度两个守恒量,且二者是一致的.该研究结果对激光传输领域具有一定的理论和现实意义.

In order to study propagation characteristics of Gaussian-Schell model Gaussian-Schell model ( GSM ) pulses in single-mode fibers, the characteristics of GSM pulses propagating through the single-mode fibers were studied by means of temporal coherence function propagation analysis. Based on the analytical expression of temporal coherence function, the changes of pulse width, coherence time and power spectrum were analyzed. The generalized van Citter-Zernike theorem in time domain for single-mode fibers under remote conditions is also derived. The results show that there are two conserved quantities of power spectrum and global coherence in the transmission of GSM pulses in single-mode optical fibers, and they are consistent. The study has important theoretical and practical significance in the field of laser transmission.