Zhang Yiqi, Belić Milivoj R, Zhang Lei, Zhong Weiping, Zhu Dayu, Wang Ruimin, Zhang Yanpeng
Opt Express. 2015 Apr 20;23(8):10467-80. doi: 10.1364/OE.23.010467.
We study periodic inversion and phase transition of normal, displaced, and chirped finite energy Airy beams propagating in a parabolic potential. This propagation leads to an unusual oscillation: for half of the oscillation period the Airy beam accelerates in one transverse direction, with the main Airy beam lobe leading the train of pulses, whereas in the other half of the period it accelerates in the opposite direction, with the main lobe still leading - but now the whole beam is inverted. The inversion happens at a critical point, at which the beam profile changes from an Airy profile to a Gaussian one. Thus, there are two distinct phases in the propagation of an Airy beam in the parabolic potential - the normal Airy and the single-peak Gaussian phase. The length of the single-peak phase is determined by the size of the decay parameter: the smaller the decay, the smaller the length. A linear chirp introduces a transverse displacement of the beam at the phase transition point, but does not change the location of the point. A quadratic chirp moves the phase transition point, but does not affect the beam profile. The two-dimensional case is discussed briefly, being equivalent to a product of two one-dimensional cases.
我们研究了在抛物线势中传播的正常、位移和啁啾有限能量艾里光束的周期性反转和相变。这种传播导致了一种不寻常的振荡：在振荡周期的一半时间内，艾里光束在一个横向方向上加速，主艾里光束瓣领先于脉冲序列，而在周期的另一半时间内，它在相反方向上加速，主瓣仍然领先——但此时整个光束发生了反转。反转发生在一个临界点，在该点光束轮廓从艾里轮廓变为高斯轮廓。因此，在抛物线势中艾里光束的传播存在两个不同的阶段——正常艾里阶段和单峰高斯阶段。单峰阶段的长度由衰减参数的大小决定：衰减越小，长度越小。线性啁啾在相变点引入光束的横向位移，但不改变该点的位置。二次啁啾移动相变点，但不影响光束轮廓。简要讨论了二维情况，它等同于两个一维情况的乘积。
