一般色散特性下慢变包络近似下超连续谱产生的分析
Analysis of supercontinuum generation under general dispersion characteristics and beyond the slowly varying envelope approximation
摘要：
在空气-石英微结构光纤中产生宽带超连续谱是色散和非线性之间微妙平衡的结果。我们分析了两个模型，旨在更好地了解SC。在第一个，我们的特征线性色散在傅立叶域从计算的群速度色散（GVD），而不使用泰勒近似的传播常数。数值模拟结果与实验结果吻合较好。介绍了一种新的相关长度尺度，即激波形成长度，并讨论了它的作用。第二部分显示了类似的动力学模型，超越了光脉冲传播的缓慢变化的近似。
英文摘要：
The generation of broadband supercontinua (SC) in air-silica microstructured fibers results from a delicate balance of dispersion and nonlinearity. We analyze two models aimed at better understanding SC. In the first one, we characterize linear dispersion in the Fourier domain from the calculated group velocity dispersion (GVD) without using a Taylor approximation for the propagation constant. Results of our numerical simulations are in a good agreement with experiments. A novel relevant length scale, namely the length for shock formation is introduced and its role is discussed. The second part shows similar dynamics for a model that goes beyond the slowly varying approximation for optical pulse propagation.
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