锁模光纤激光器中矢量脉冲的传输特性研究

发布时间：2018-05-15 10:55

本文选题：慢饱和吸收 + 耦合模方程　；参考：《山西大学》2015年硕士论文

【摘要】：近几年,人们对超快光学的研究和应用产生了浓厚的兴趣,锁模光纤激光器作为超快光学的基石,也引起了人们极大的关注。因此,本文将对锁模光纤激光器中超短脉冲解展开详细的理论研究。首先,本文简要介绍了锁模光纤激光器的基本结构和原理,充分了解了锁模光纤激光器国内外的研究现状及其研究意义。其次,以双折射光纤中脉冲传输所满足的耦合模方程为基础,引入了慢饱和吸收效应,建立了新的理论模型。采用拟解法对该模型的精确解进行了推导,并对其传输特性和稳定性进行了详细的数值研究。结果表明,在合理的系统参数条件下,精确解可以在一定扰动存在的情况下稳定传输。最后,我们采用对称分步傅里叶法讨论了相邻矢量脉冲间的相互作用。研究结果显示：引入慢饱和吸收效应,对相邻脉冲间的相互作用将产生明显的影响;当慢饱和吸收效应不变,增大相邻脉冲间的初始间距时,相邻脉冲间的相互作用也将随之改变,直至最终消失。此外,我们还研究了相邻脉冲间相互作用的抑制。
[Abstract]:In recent years, people have been interested in the research and application of ultra-fast optics. As the cornerstone of ultra-fast optics, mode-locked fiber lasers have attracted great attention. Therefore, a detailed theoretical study of ultrashort pulse solutions in mode-locked fiber lasers is presented in this paper. Firstly, the basic structure and principle of mode-locked fiber laser are briefly introduced, and the research status and significance of mode-locked fiber laser at home and abroad are fully understood. Secondly, based on the coupling mode equation of pulse propagation in birefringent fiber, the slow saturation absorption effect is introduced and a new theoretical model is established. The exact solution of the model is derived by using the quasi-method, and the transmission characteristics and stability of the model are studied numerically in detail. The results show that the exact solution can be transmitted stably under the condition of reasonable system parameters. Finally, we discuss the interaction between adjacent vector pulses by using the symmetric fractional Fourier method. The results show that the effects of slow saturation absorption on the interaction between adjacent pulses are obvious, and when the slow saturation absorption effect is constant, the initial spacing between adjacent pulses is increased. The interaction between adjacent pulses will also change and eventually disappear. In addition, we also study the suppression of the interaction between adjacent pulses.
【学位授予单位】：山西大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TN248

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