时间截断Airy脉冲在色散介质中的动力学和选择性时间聚焦
Dynamics and selective temporal focusing of a time truncated Airy pulse in varying dispersive medium
摘要：
本文从理论上研究了纵向色散情况下截断艾里脉冲的动力学性质。提出了现实的波导几何形状，提供线性或振荡的色散分布。通过求解色散方程，从理论上研究了群速度色散（GVD）随空间的线性变化对加速有限能量艾里脉冲（FEAP）抛物线轨迹的影响.结果表明，适当调整GVD可以使加速Airy脉冲的轨迹呈现出异常的准线性。周期性GVD对空气动力学的影响更有趣，其中FEAP表现出具有周期性峰值功率调制的振荡轨迹。通过求解GVD调制强度和周期之间的超越关系，我们从理论上估计了在输出端提供最大功率的波导的优化长度。振荡高阶色散对艾里光脉冲的影响是显著的，在传输过程中会遇到奇点。在奇点处，艾里脉冲失去了它的特性，并在时间上翻转。通过解析求解传播方程，详细研究了FEAP在奇点附近的丰富动力学特性。在这份报告中，我们提供了详细的理论分析，以实现选择性的时间聚焦的FEAP，这可能是有用的应用。所有的理论预测数值验证和协议被发现是优秀的。
英文摘要：
We theoretically investigate the dynamics of a time truncated Airy pulse under longitudinally varying dispersion. The realistic waveguide geometry is proposed that offers linear or oscillating dispersion profile. By solving the dispersion equation, we theoretically investigate how a linear variation of the group-velocity dispersion (GVD) over space affects the parabolic trajectory of an accelerating finite energy airy pulse (FEAP). It is demonstrated that, suitable adjustment of GVD can lead to unusual quasi-linear trajectory of the accelerating airy pulse. The impact of the periodic GVD on airy dynamics is more interesting where FEAP exhibits oscillatory trajectory with periodic peak power modulation. We theoretically estimate optimized length of the waveguide delivering maximum power at the output by solving the transcendental relation between GVD modulation strength and period. The effect of oscillatory higher order dispersion is dramatic for optical airy pulse where it experiences singularity points during propagation. At singularity points airy pulse loses its identity and flips over in time. The rich dynamics of FEAP near singular point is carefully investigated by solving the propagation equation analytically. In this report we provide detail theoretical analysis to achieve selective temporal focusing of FEAP which may be useful for application. All theoretical predictions are verified numerically and the agreement is found to be excellent.
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