色散和非线性效应对啁啾艾里脉冲传输影响的研究

Study on the Influence of Dispersion and Nonlinear Effects on the Propagation of Chirped Airy Pulse

摘要: 艾里脉冲由于其独特的性质，引起人们广泛关注和研究。本文从理论上讨论了色散和非线性效应对啁啾艾里脉冲的传输影响。结果表明：在非线性条件下，三阶色散发挥作用时，通过改变三阶色散系数，我们发现三阶色散系数和峰值强度之间的变化关系。当拉曼效应发挥作用时，正啁啾和负啁啾在时域或频域呈现出不同的变化趋势。当拉曼效应和三阶色散共同作用时，正啁啾情况下，我们可以得出随着三阶色散系数增大，三阶色散抑制拉曼产生的频移。然而负啁啾情况下，三阶色散不能抑制或增强拉曼频移，只能改变脉冲的峰值强度。为了增大脉冲的峰值强度，我们探究啁啾参数和三阶色散系数达到平衡时，脉冲的频移不会改变。

Abstract: Airy pulse has attracted extensive attention and research because of its unique properties. In this paper, the effects of dispersion and nonlinear effects on the propagation of chirped Airy pulse are studied theoretically. The results show that when the third-order dispersion plays a role under nonlinear conditions, by changing the third-boundary dispersion coefficients, we find a changing relationship between the third-order dispersion coefficients and the peak intensity. When the Raman effect comes into play, the positive chirp and negative chirp show different trends in the time or frequency domain. When the Raman effect and the third-order dispersion work together, in the positive chirp case, we can conclude that the third-order dispersion suppresses the Raman-generated frequency shift as the third-order dispersion coefficient increases. However, in the negative chirp case, the third-order dispersion cannot suppress or enhance the Raman frequency shift, but only change the peak intensity of the pulse. In order to increase the peak intensity of the pulse, we explore that the frequency shift of the pulse does not change when the chirp coefficient and the third-order dispersion coefficient are balanced.