双艾里脉冲在克尔介质中传输特性的研究

Research on the Propagation Characteristics of Double Airy Pulses in Kerr Media

摘要: 本文系统探讨了双艾里脉冲在克尔介质中的传输行为。基于非线性薛定谔方程，构建了涵盖群速度色散与克尔非线性耦合的理论模型。结果表明，适度的克尔非线性能够有效调控艾里脉冲的自加速轨迹，并诱发频谱展宽；在非线性作用下，双艾里脉冲之间出现明显相互作用，主要表现为脉冲碰撞、能量迁移与轨迹偏折，能量交换深度介于20%至40%之间。相对相位对脉冲耦合行为具有显著调制作用，能量交换强度随相位差呈正弦变化，同相配置下相互作用最为强烈，反相配置下则受到显著抑制。进一步通过参数扫描，明确了关键参数对传输特性的影响规律，相关结论可为基于艾里脉冲的光学系统设计提供理论支持。

Abstract: This paper systematically investigates the propagation behavior of double Airy pulses in Kerr media. Based on the nonlinear Schrödinger equation, a theoretical model incorporating group velocity dispersion and Kerr nonlinearity coupling is established. The results indicate that moderate Kerr nonlinearity can effectively modulate the self-acceleration trajectory of Airy pulses and induce spectral broadening. Under nonlinear effects, significant interactions emerge between the dual Airy pulses, primarily manifested as pulse collisions, energy transfer, and trajectory deflection, with energy exchange depths ranging between 20% and 40%. The relative phase exhibits a pronounced modulation effect on pulse coupling behavior, where the intensity of energy exchange follows a sinusoidal variation with the phase difference. In-phase configurations yield the strongest interactions, while anti-phase configurations experience significant suppression. Further parameter scanning clarifies the influence patterns of key parameters on transmission characteristics, with these findings providing theoretical support for the design of optical systems based on Airy pulses.