Kerr介质中Airy光束交互控制：初始发射角的影响

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"这篇研究论文探讨了在Kerr介质中，通过初始发射角（或称为“速度”）来控制Airy光束的相互作用。文章发表在Optics Communications 432 (2019)期刊上，由Kaiyun Zhan、Zhendong Yang、Ruiyun Jiao、Bing Liu、Guoxia Han、Xianfeng Xu和Zhiyong Jiao等人撰写。研究主要关注Airy光束在Kerr非线性介质中的奇异交互现象，特别是不同间隔和初始发射角度下的行为。" 正文: Airy光束是一种具有独特性质的光学现象，它们展现出超越传统光学理论的传播特性，比如在传播过程中保持其形状不变，呈现出非对称的侧向漂移。在本研究中，作者们通过直接数值模拟的方法，深入研究了两束相位同步和相位相反的Airy光束在Kerr介质中的异常交互。 Kerr介质是一种具有二次非线性效应的材料，当光束通过这种介质时，介质的折射率会因光强的变化而变化，即光强度与折射率之间的非线性关系。这种非线性效应使得Airy光束的相互作用变得更加复杂且有趣。研究发现，双光束之间的交互不仅仅是简单的吸引或排斥，而是受到它们的初始发射角度和间距的影响。当两个Airy光束没有初始速度时，无论相位是否同步，它们总是表现出相互吸引或排斥的效应。然而，在Kerr介质中，通过调整初始发射角，即改变光束的“速度”，同步的和非同步的Airy光束都可能表现出吸引或排斥的行为。此外，研究还揭示了这种相互作用导致的新的孤子脱落动态。孤子是光束传播过程中形成的稳定结构，它们可以保持自己的形状并抵抗散射。当Airy光束相互作用时，这种动态过程可能导致孤子的产生和消失，从而产生复杂的传播模式。这一发现对于理解非线性光学过程，特别是在非均匀介质中的光束行为，具有重要意义。它为光束操控提供了新的途径，可能会在未来的光学通信、光学信息处理和光镊技术等领域找到应用。通过精确控制Airy光束的初始条件，科学家们能够设计出更精细的光束操纵策略，实现更高效的数据传输和精密光学操作。这进一步拓展了非线性光学的研究边界，为未来光学技术的发展铺平了道路。

Optics Communications 432 (2019) 49–53

Contents lists available at ScienceDirect

Optics Communications

journal homepage: www.elsevier.com/locate/optcom

Controllable interaction of Airy beams via initial launch angle in Kerr

media

Kaiyun Zhan

∗

, Zhendong Yang, Ruiyun Jiao, Bing Liu

∗

, Guoxia Han, Xianfeng Xu, Zhiyong Jiao

College of Science, China University of Petroleum (East China), Qingdao 266580, China

A R T I C L E I N F O

Keywords:

Interaction

Airy beams

Intervals

Initial launch angles

A B S T R A C T

We investigate the anomalous interactions of both in-phase and out-of-phase Airy beams in Kerr media with

different intervals and initial launch angles (‘‘velocity’’) by means of direct numerical simulation. Interaction

between double beams interference and initial launch angle leads to a host of new propagation dynamics of

solitons shedding from Airy beams. Unlike the interaction between two Airy beams without initial velocity,

where the two in-phase and out-of-phase Airy beams always attract and repel each other, here, both the in-phase

and out-phase Airy beams can present attraction or repulsion under proper interval and initial angle condition.

Their propagating dynamics depend in a sensitive way on the sign of the interval and initial launch angle.

1. Introduction

Self-accelerating optical beams [1–10] have attracted much atten-

tion all over the world because its self-accelerating, non-diffracting

and self-healing. Among them, Airy beams have received widely at-

tention in the past few decades as well [6–10]. In 1979, Balazs and

Barry predicted the Airy beam theoretically and described firstly the

propagation dynamic of single Airy beam wave packet is one of the

solutions of Schrödinger equation [1]. However, it contains infinite

energy and never lead to realization physically. In 2007, Siviloglou and

Christodoulides et al. proved theoretically and practically firstly that

Airy beam with retaining finite power could be obtained [6,7]. Since

then, this phenomenon has attracted considerable interest due to their

intriguing characteristics and many potential applications [8–10]. In

addition, the propagation of finite-energy Airy beams can be controlled

through nonlinearities [11–13]. Solitons shedding from Airy beams can

be obtained in nonlinear media, and their interaction contains many

novel dynamics. It is shown that bound and unbound soliton pairs

can be formed by the interaction between in-phase and out-of-phase

Airy beams in Kerr [14] and other saturable [15] nonlinear media.

And, temporal soliton interactions with a dispersive truncated Airy

pulse can be controlled by initial phase, amplitude and time position

of Airy pulse [16]. In the in-phase case, the two Airy components

form individual solitons, as well as soliton pairs with breather-like

behavior. However, they repel each other in the out-of-phase case.

More importantly, the anomalous interactions of Airy beams in nonlocal

nematic liquid crystals can be controlled numerically [17]. The solitons

shedding from Airy beams and anomalous interaction of Airy beams in

nonlocal nonlinear media are also studied [18], the high nonlocality

can provide a long-range attractive force and resulting in the formation

∗

Corresponding authors.

E-mail addresses: zhanky@upc.edu.cn (K. Zhan), liub@upc.edu.cn (B. Liu).

of stable solitons of in-phase and out-of-phase Airy beams. Interaction

between two finite Airy-Gaussian (AiG) beams in different media has

been investigated and found that the defected photonic lattices exist in

one transverse dimension [19]. Based on Newton–Schrödinger system,

Bekenstein et al. [20] has investigated and exhibited complex nonlinear

dynamics of wave packets in Airy beam. Moreover, based on nonlocal

model, single Airy-Gaussian (AiG) beam and their interaction in one-

dimension has been investigated as well [21]. Therefore, incoherent

interactions of incoherently coupled vector Airy beams in both local and

nonlocal nonlinear media has begun to be investigated gradually [22].

However, all the works mentioned above were mostly confined to

interaction of Airy beams with different intervals between the two

components. The initial launch angle (or ‘‘velocity’’) of these beams is

not taken into account. In fact, nonzero initial velocity is most easily

realized by launching an Airy beam obliquely [23–25]. Therefore, it is

of interest to investigate what will happen, when two Airy beams are

launched into a medium with different incident angles. In this paper,

we investigate the interaction of two Airy beams with different initial

launch angles and intervals between two incident beams. The initial

launch angle has profound effects on the propagation dynamics of the

two Airy solitons. For both the in-phase and out-phase cases, attraction

and repulsion are presented in an appropriate parameter region.

2. Theory model

We consider an Airy beam propagating in a medium with a self-

focusing Kerr nonlinearity. For one dimension optical beam in the

paraxial approximation, its propagation dynamics is governed by the

https://doi.org/10.1016/j.optcom.2018.09.052

Received 30 July 2018; Received in revised form 18 September 2018; Accepted 21 September 2018

Available online 27 September 2018

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