微扰变分法对光折变空间孤子相互作用的研究

利用微扰变分法研究了光折变屏蔽孤子的相干相互作用,得出了光折变空间屏蔽孤子在晶体中同相相互作用时发生第一次碰撞的位置和碰撞周期解析表达式,并对孤子同相和反相相互作用的物理机制进行了分析.研究结果表明:当两孤子尾部交叠时就会发生相互作用,相互作用力的大小与孤子的相对强度、相对间距以及晶体外加电场的大小有关.孤子的相对强度越大、相对间距越小以及晶体外加电场越强,孤子间相互作用力越大;相互作用力的性质与初始相位差有关,同相相互吸引,反相相互排斥.     

多个部分非相干光孤子的相互作用

基于相干密度理论，数值地研究了在饱和对数非线性介质中多个部分非相干光空间孤子之间的相互作用. 数值结果表明，在非相干参量较小情况下，非相干光孤子的相互作用与相干光孤子的相互作用规律较类似. 当非相干参量较大时，强的非相干性模糊了孤子之间的相位关系，孤子间的相互作用主要以非相干相互吸引作用为主. 特别是在非相干参量较大而且孤子初始相对相位差为π的情况下，多个部分非相干光孤子可并行传播形成稳定的阵列孤子. 利用多个非相干光孤子的不同相互作用形态写入各种阵列波导，为实现光控制光、导向光提供了一种可能性. 关键词： 多个部分非相干光空间孤子 空间光孤子的相互作用 相干密度理论 饱和对数非线性     

光诱导准一维光子晶格中离散空间光孤子的相互作用

基于分步束传播法数值分析了离散空间光孤子在准一维光诱 导光子晶格中的相干与非相干相互作用过程. 结果表明: 对于相干孤子, 同相时相互吸引, 反相时相互排斥. 然而, 由于非线性响应的各向异性, 横向排布的非相干孤子会因间隔波导数目的增加而由相互吸引变为相互排斥. 并且, 沿对角方向排布的两个非相干孤子在孤子相 互作用力和布拉格反射的共同影响下, 会呈现出"钟摆式"振荡传输现象. 研究结果有助于进一步理解非线性各向异性对离散孤子相互作用的影响机制, 并为后续实验研究提供理论参考.     

双光子光折变介质中非相干耦合亮-暗屏蔽光伏孤子对

对有外加电场的双光子光伏光折变晶体中两束偏振方向和波长都相同的互不相干光束的耦合进行研究,给出产生亮-暗双光子光折变屏蔽光伏孤子对需满足的条件.以Cu:KNSBN晶体作为研究对象,选取α=117.3,β=83.79,η=1.5×10-4,σ=104,δ=0.005,r=10时,给出双光子光折变晶体中的非相干耦合亮-暗屏蔽光伏孤子对2个孤子分量光强的空间分布,证明有外加电场的双光子光伏光折变晶体中存在非相干耦合亮-暗屏蔽光伏孤子对,指出孤子对是由偏振态和波长都相同的两束互不相干光形成的,当外加电场方向和晶体中光伏电场的方向与晶体光轴方向相同时,双光子光折变晶体中可支持亮孤子峰值光强稍大于暗孤子最大光强的非相干耦合亮-暗孤子对,当外加电场方向和晶体中光伏电场的方向与晶体光轴方向相反时,双光子光折变晶体中可支持亮孤子峰值光强稍小于暗孤子最大光强的非相干耦合亮-暗孤子对.     

双光子光折变介质中非相干耦合亮-暗混合屏蔽孤子族

 根据光波耦合方程及亮-暗孤子对解,对稳态情况下多束互不相干的光束在有外加电场的双光子非光伏光折变晶体中的传播进行分析,给出产生亮-暗双光子光折变屏蔽光伏孤子族需满足的条件。证明有外加电场双光子非光伏光折变晶体中存在非相干耦合亮-暗混合屏蔽孤子族,孤子族由偏振态和波长都相同的多束互不相干的光形成。当外加电场方向和晶体光轴方向相同时,双光子光折变晶体可支持亮孤子族总峰值光强稍大于暗孤子族总峰值光强的的非相干耦合亮-暗混合孤子族,当外加电场方向与晶体光轴方向相反时,双光子光折变晶体可支持亮孤子族总峰值光强稍小于暗孤子族总峰值光强的非相干耦合亮-暗混合孤子族。     

LiNbO2∶Fe晶体中的涡旋孤子及由它们写入波导的研究

在LiNbO3∶Fe晶体中观察到由光生伏打效应实现的涡旋孤子对和涡旋孤子阵列并成功地由它们写入了圆形和椭圆形波导.研究了涡旋孤子之间的相互作用,影响涡旋孤子形状的因素和实现稳定孤子的条件. 关键词： 涡旋孤子 波导 光生伏打效应     

非相干耦合屏蔽光伏孤子对

预言了在有外加电场的光伏光折变晶体中存在着稳态非相干耦合的屏蔽光伏空间孤子对.这种孤子对是由偏振态和波长都相同的两束互不相干光耦合而成的.它可被看成是非相干屏蔽孤子对和非相干光伏孤子对的统一形式,当外加电场很强可忽略光伏效应时,它类似于已报 道的屏蔽孤子对,而当外加电场为零时,它相当于闭路条件下的光伏孤子对. 关键词： 光折变效应 空间光孤子 光伏效应     

基于全息聚焦机理空间光孤子的相互作用势函数

利用变分法讨论了反向传输的基于全息聚焦机理空间光孤子的相互作用,导出了相干和非相 干相互作用的势函数.当孤子间的相对相位不随传输距离变化或相对相位对传输距离的偏导 数与孤子间距无关时,相干和非相干相互作用势函数都与孤子间的相对相位无关,出现孤子间 反常相互作用,这正好是近期文献的结果. 关键词： 空间光孤子 相互作用 变分原理     

用光辐照法在SBN:Cr晶体中写入动态阵列平面光波导

利用扩展的准直He-Ne激光束通过菲涅耳双棱镜所形成的干涉光场辐照SBN:Cr晶体， 同时沿晶体光轴方向施加适当的直流电场，可在晶体中形成类似于体相位光栅结构的阵列平 面光波导. 采用马赫-曾德干涉仪光路实时测量了所写入阵列平面光波导的横向折射率分布 ，其峰值接近10-4. 初步的导光测试结果表明，利用周期结构光辐照并辅以适当的外加电场在SBN:Cr晶体中写入阵列平面光波导是可行的. 并且由于SBN:Cr晶体的快速响应特性，所写入的光波导是动态的，可随着写入光的撤除而快速消失，或通过改变双光束夹角 关键词： SBN:Cr晶体 结构光辐照 阵列平面光波导 折射率分布 外电场     

LiNbO3∶Fe晶体中光写入阵列平面光波导的实验实现

采用两束相干平行光形成的干涉光场辐照LiNbO3∶ Fe晶体,通过光折变效应在晶体中写入了阵列平面光波导.分别采用马赫-曾德干涉仪光路和光栅衍射法测量了阵列平面光波导的横向折射率分布和周期,并对所写入的阵列平面光波导进行了初步的导光测试.实验结果表明,用这种方法写入阵列平面光波导简便可行.     

Discrete solitons in inhomogeneous waveguide arrays

The existence and dynamical properties of discrete solitons in inhomogeneous waveguide arrays with a Kerr nonlinearity are studied in two different configurations. First we investigate the effect of a longitudinal periodic modulation of the coupling strength on the dynamics of discrete solitons. It is shown that resonances of internal modes of the soliton with the longitudinal structure may lead to soliton oscillations and decay. Second we study the existence and stability of discrete solitons in arrays exhibiting a linear variation of the waveguide effective index in the transverse direction. We find that resonant coupling between conventional discrete solitons and linear Wannier-Stark states leads to the formation of so-called hybrid discrete solitons.     

二阶孤子间相互作用引起孤子衰变

对于二阶孤子脉冲对,通过数值求解非线性Schrdinger方程,得到了二阶孤子在光纤中传输时的衰变规律.由于脉冲之间的相互作用,原来的二阶孤子衰变为两个分离的基孤子.二阶孤子对同位相时,相互作用为“吸引”,衰变后峰值小的基孤子位于内侧,二阶孤子对反位相时,相互作用为“排斥”,衰变后峰值小的基孤子位于外侧.两个二阶孤子脉冲间隔越小,反位相时,在相同传输距离处,衰变产生的两个基孤子的分离程度越大.     

Discrete solitons in zigzag waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings

We study discrete solitons in zigzag discrete waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings. The waveguide array is constructed from two layers of one-dimensional (1D) waveguide arrays arranged in zigzag form. If we alternately label the number of waveguides between the two layers, the cross-layer couplings (which couple one waveguide in one layer with two adjacent waveguides in the other layer) construct the nearest-neighbor couplings, while the couplings that couple this waveguide with the two nearest-neighbor waveguides in the same layer, i.e., self-layer couplings, contribute the next-nearest-neighbor couplings. Two families of discrete solitons are found when these couplings feature different types of linear mixing. As the total power is increased, a phase transition of the second kind occurs for discrete solitons in one type of setting, which is formed when the nearest-neighbor coupling and next-nearest-neighbor coupling feature positive and negative linear mixing, respectively. The mobilities and collisions of these two families of solitons are discussed systematically throughout the paper, revealing that the width of the soliton plays an important role in its motion. Moreover, the phase transition strongly influences the motions and collisions of the solitons.     

Separate spatial soliton pairs in a biased series centrosymmetric photorefractive crystal circuit

It is shown theoretically that three types of separate soliton pairs: bright-bright, bright-dark, and dark-dark, can be established in a biased series circuit consisting of two centrosymmetric photorefractive crystals and the two solitons in a separate soliton pair can affect each other by the light-induced current. The effects of the intensities of soliton beams and background lights on the normalized profiles of solitons are discussed.     

（1+1）维光折变亮屏蔽孤子相互作用的数值分析

利用束传播法对（1+1）维光折变亮屏蔽孤子间的相互作用进行了详细地数值模拟研究.结果表明：两同相孤子相互吸引，并伴有孤子融合现象，且孤子融合发生时的作用距离随着孤子初始间距的增大而增大；两反相孤子相互排斥，且排斥作用随着孤子初始间距的减小而增强；当两孤子的相位差位于区间（0,π）和（－π，0）中时，其相互作用过程将伴有能量转移，但两区间内能量转移的方向相反，并表现出反转对称性；由于孤子间的距离和相对相位对孤子间的相互作用均有很大的影响，因此多个孤子间的相互作用过程非常复杂，但可以通过分析相邻孤子间的相互作用对其进行定性的预测.     

多个光伏空间亮孤子相互作用研究

用数值方法分析了多个平行传播一维光伏空间亮孤子之间的相干相互作用.结果表明，同相多个孤子相互作用时，它们不同于两个孤子时的周期性的融合和分开，而是会在整体吸引靠近过程中发生孤子的逐步融合作用.多个孤子相互之间发生能量耦合作用时，可简单归结为三种基本的相互作用模式.而邻近相互反相的多个孤子相互作用时，能保持很好的稳定传播特性，其对形成孤子阵列及阵列波导具有指导意义. 关键词： 光伏空间孤子 多个孤子 相互作用     

Discrete vector solitons in Kerr nonlinear waveguide arrays

We report the first experimental observation of discrete vector solitons in AlGaAs nonlinear waveguide arrays. These self-trapped states are possible through the coexistence of two orthogonally polarized fields and are stable in spite of the presence of four-wave mixing effects. We demonstrate that at sufficiently high power levels the two polarizations lock into a highly localized vector discrete soliton that would have been otherwise impossible in the absence of either one of these two components.     

Interaction of in-band and in-gap lattice soliton trains in optically induced two-dimensional photonic lattices

We demonstrate the coherent interactions of lattice soliton trains, including in-band solitons (IBSs) and gap soliton trains (GSTs), in optically induced two-dimensional photonic lattices with self-defocusing nonlinearity. It is revealed that the $\pi$-staggered phase structures of the lattice soliton trains will lead to anomalous interactions. Solely by changing their initial separations, the transition between attractive and repulsive interaction forces or reversion of the energy transfer can be obtained. The `negative refraction' effect of the soliton trains on the interaction is also discussed. Moreover, two interacting IBSs can merge into one GST when attraction or energy transfer happens.     

Interactions of adjacent pulsating, erupting and creeping solitons

This paper investigates the adjacent interactions of three novel solitons for the quintic complex Ginzburg--Landau equation, which are plain pulsating, erupting and creeping solitons. It is found that different performances are presented for different solitons due to isolated regions of the parameter space where they exist. For example, plain pulsating and erupting solitons exhibit mutual annihilation during collisions with the decrease of total energy, but for creeping soliton, the two adjacent pulses present soliton fusion without any loss of energy. Otherwise, the method for restraining the interactions is also found and it can suppress interactions between these two adjacent pulses effectively.