论文标题
在不同的色散介质中,时间截断的通风脉冲的动态和选择性的时间聚焦
Dynamics and selective temporal focusing of a time truncated Airy pulse in varying dispersive medium
论文作者
论文摘要
从理论上讲,我们在纵向变化的分散体下研究了时间截断的通风脉冲的动力学。提出了逼真的波导几何形状,该几何形状提供线性或振荡的色散曲线。通过求解分散方程,我们从理论上研究了空间上的群速度色散(GVD)的线性变化如何影响加速有限的能量通风脉冲(FEAP)的抛物线轨迹。证明,适当的GVD调整会导致加速脉冲的异常准线性轨迹。周期性GVD对通风动力学的影响更有趣,而FEAP表现出具有周期性峰值功率调制的振荡轨迹。我们从理论上估计波导的优化长度通过解决GVD调制强度和周期之间的先验关系,从而在输出处赋予最大功率。振荡性高阶分散剂的影响对于光通风脉冲而言是巨大的,在传播过程中它会经历奇异点。在奇异点处,Airy Pulse失去了其身份,并随着时间的流逝而翻转。通过分析求解传播方程,仔细研究了附近FEAP的丰富动态。在本报告中,我们提供了详细的理论分析,以实现FEAP的选择性时间聚焦,这可能对应用程序有用。所有理论预测均以数值验证,并发现该一致性非常好。
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.