线性啁啾脉冲高斯光束载波相位漂移的近似解

Analytical solution of carrier-envelope phase drift of linearly chirped pulsed Gaussian beam

利用复q参数法,研究了几周期线性啁啾脉冲高斯光束在自由空间中的传播,在振幅零阶和相位一阶近似的条件下,得到其载波相位的解析公式,该公式的显著特点是载波相位与线性啁啾系数无关。研究了载波相位在传播方向的分布,并与数值计算方法比较,结果表明,啁啾系数在-1~1的范围内,在光轴附近,其载波相位解析公式结果与数值结果符合很好。

The propagation of the linearly chirped few-cycle pulse Gaussian beam in the free space is studied by q parameters methods.The distribution of carrier-envelope phase drift in the temporal and spatial domain is analyzed by a zero-order amplitude and first-order phase approximation independent on the chirp coefficient.The carrier-envelope phase drift undergoes a π shift from minus infinity to infinity and evolution to-π/2 on and off the axis,and the position of carrier-envelope phase drift is zero around a certain point originated from the modulation of the chirped on the relation between the phase front and the pulse front in the spatially domain.