有偏压光伏光折变晶体中自加速光束交互效应的理论研究

采用分步傅里叶法理论探究了有限能量艾里光束和非线性加速光束在有偏压光伏光折变介质中的交互效应。结果表明:调节光束初始间隔和入射角度可使同相位或反相位有限能量艾里光束相互吸引或排斥。同相位时不仅产生呼吸孤子和孤子对，在适当参数条件下还可形成分叉孤子；反相位时仅有孤子对产生；同相位非线性切趾加速光束交互可以产生奇数个呼吸孤子，反相位非线性切趾加速光束交互可以产生偶数个呼吸孤子对。此外，呼吸孤子的峰值强度、呼吸周期和相互作用力的大小均可以通过外部偏压和入射角度进行有效调控。研究结果可为艾里光束交互调控提供理论基础，同时在全光信息处理和光学网络器件制备等领域具有潜在的应用前景。

Theoretical study on interaction effect of self-accelerating beams in a biased photovoltaic photorefractive crystal

Investigation on the interactions of Airy and nonlinear accelerating beams in a biased photovoltaic-photorefractive crystal was presented theoretically by means of split-step Fourier method. The results shown that, by adjusting the initial beams interval and incident angle, two finite-energy Airy beams in the in-phase or out-of-phase case can attract or repel each other. In the in-phase case, not only single breathing solitons and soliton pairs can generate, but also splitting solitons with oscillation are obtained. While only soliton pairs can be formed in the out-of-phase case. Interaction of two in-phase nonlinear truncated accelerating beams can generate an odd number of breathing solitons, and an even number of soliton pairs can be produced in the out-of-phase case. Moreover, the peak intensity, breathing period and magnitude of the interaction force of the breathing solitons can be effectively regulated by adjusting the external bias and the incident angle. The results can provide a theoretical basis for the interaction regulation of Airy beams, and also have potential application prospects in the fields of all-optical information processing and optical network device fabrication.