Effects of temperature on screening bright-dark the stability of separate spatial soliton pair

We investigate theoretically the temperature effects on the evolution and stability of a separate screening brightdark soliton pair formed in a serial non-photovoltaic photorefractive crystal circuit. Our numerical results show that, for a stable bright-dark soliton pair originally formed in a crystal circuit at given temperatures, when one crystal temperature changes, the soliton supported by the other crystal will evolve into another stable soliton if the temperature change is quite small, whereas it will become unstable and experience larger cycles of compression or break up into beam filaments if the temperature difference is big enough. The dark soliton is more sensitive to the temperature change than the bright one.

Optical solitons supported by finite waveguide lattices with diffusive nonlocal nonlinearity

We investigate the properties of fundamental,multi-peak,and multi-peaked twisted solitons in three types of finite waveguide lattices imprinted in photorefractive media with asymmetrical diffusion nonlinearity.Two opposite soliton selfbending signals are considered for different families of solitons.Power thresholdless fundamental and multi-peaked solitons are stable in the low power region.The existence domain of two-peaked twisted solitons can be changed by the soliton self-bending signals.When solitons tend to self-bend toward the waveguide lattice,stable two-peaked twisted solitons can be found in a larger region in the middle of their existence region.Three-peaked twisted solitons are stable in the lower(upper)cutoff region for a shallow(deep)lattice depth.Our results provide an effective guidance for revealing the soliton characteristics supported by a finite waveguide lattice with diffusive nonlocal nonlinearity.

The (1+1)-dimensional spatial solitons in media with weak nonlinear nonlocality

We study the propagation of （l＋l）-dimensional spatial soliton in a nonlocal Kerr-type medium with weak non- locality. First, we show that an equation for describing the soliton propagation in weak nonlocality is a nonlinear Schr6dinger equation with perturbation terms. Then, an approximate analytical solution of the equation is found by the perturbation method. We also find some interesting properties of the intensity profiles of the soliton.

The solutions of the strongly nonlocal spatial solitons with several types of nonlocal response functions

The fundamental and second order strongly nonlocal solitons of the nonlocal nonlinear Schrodinger equation for several types of nonlocal responses are calculated by Ritz＇s variational method. For a specific type of nonlocal response, the solutions of the strongly nonlocal solitons with the same beam width but different degrees of nonlocality are identical except for an amplitude factor. For a nonlocal case where the nonlocal response function decays in direct proportion to the mth power of the distance near the source point, the power and the phase constant of the strongly nonlocal soliton are in inverse proportion to the （m ＋ 2）th power of its beam width.

One-Dimensional Modulational Instability of Broad Optical Beams In Photorefractive Crystals with Both Linear and Quadratic Electro-Optic Effects

We present a theoretical study of the one-dimensional modulational instability of a broad optical beam propagating in a biased photorefractive crystal with both linear and quadratic electro-optic effects(Kerr effect)under steadystate conditions.One-dimensional modulational instability growth rates are obtained by treating the space-charge field equation globally and locally.Both theoretical reasoning and numerical simulation show that both the global and local modulational instability gains are governed simultaneously by the strength and the polarity of external bias field and by the ratio of the intensity of the broad beam to that of the dark irradiance.Under a strong bias field,the results obtained using these two methods are in good agreement in the low spatial frequency regime.Moreover,the instability growth rate increases with the bias field,and the maximum instability growth occurs when ratio of light intensity to dark irradiance is 0.88.

Rotating soliton clusters in nonlocal nonlinear media

From the study of the dynamics for the ring-like soliton clusters, we find that there exists a critical value of the ring radius, dcr, for the stationary rotation of the clusters with respect to the beam centre even in the presence of the relatively strong noise, and that the soliton clusters will not rotate but only undergo periodic collisions in the form of simple harmonic oscillator if the ring radius is large enough. We also show that the direction of the rotation can be opposite to the direction of phase gradient when the relative phase difference is within the domain 0 〈 ｜θ｜ 〈 π, while along the direction of phase gradient when the relative phase difference is within the domain π 〈｜θ｜ 〈 2π

Temporal Behavior of Low-Amplitude Grey Spatial Solitons in Biased Two-Photon Photorefractive Crystals

在低振幅的政体由于二光子的 photorefractive 效果屏蔽空间 solitons 的灰色的时间的性质被分析。结果显示宽广 solitons 在开始被产生，并且向稳定的状态 monotonically 作为时间发展灰 solitons 减少的紧张宽度到最小的价值。在一样的繁殖时间， solitons 的 FWHM 与增加或 m 减少减少。而且， solitons 的形成时间是独立人士和 m。时间接近到绝缘的松驰时间决定的一个常数。

Evolution and stability of holographic soliton pairs

The dynamical evolution and the stabiity property of both bright and dark holographic solton pairs have been investigated numerically. Resultshow that mutual trapping between two beams in pair is balanceable and both beams can survive aspatial solitons, and these solitons are stable againssmall perturbations.

部分空间非相干暗光伏孤子诱导一维波导研究

在光折变晶体LiNbO3:Fe中观察到部分空间非相干光形成的一维暗光伏孤子,并由此暗光伏孤子在该晶体中诱导出一维波导.暗光伏孤子是由光折变晶体的强光伏效应产生,是晶体自散焦效应和衍射效应相平衡的结果;此外,光伏孤子的形成还依赖于光束的传播方向和晶体光轴与强度梯度的相对方向.在一维情况下,非相干光孤子诱导出单一的平面波导,能够对弱光敏的强光进行导光.实验证明了用低能量非相干光束控制转换高能量相干光束的可能性.

含分压电阻的光折变屏蔽光伏空间灰孤子(英文)

为了研究外加偏压光伏光折变晶体中的空间灰孤子,建立了含分压电阻的光折变屏蔽光伏空间灰孤子的演化方程,给出了灰孤子解.采用数值模拟的方法,求解灰孤子的数值表达式,得到了不同参量取值下的灰孤子包络.数值结果表明:当分压电阻、晶体的外加电场和光伏场取不同值时,可以分别得到有无分压电阻的屏蔽灰孤子;开路的光伏灰孤子,有、无分压电阻的闭路光伏灰孤子;有、无分压电阻的屏蔽光伏灰孤子.

线性和二次电光效应下小振幅相干耦合空间孤子对（英文）

研究了线性和二次电光效应共存的单光子光折变介质中小振幅情况下两个沿同一直线传播的空间光孤子间的相干耦合现象。研究结果表明在适当的条件下可以形成相干耦合暗-暗、亮-亮孤子对,得到了相干耦合孤子对的光场方程、解析解和孤子对宽度的表达式。线性和二次电光效应间的相互作用而产生相互增强、减弱甚至抵消的光折变效应对这些孤子对的形成、性质和传输规律具有重要的影响。另外,就两相干入射光的初始相位差、强度比和外加电场等三个因素对小振幅相干耦合孤子对的产生条件和性质的影响进行了详细的讨论。最后,采用微扰法分析了小振幅情况下亮-亮孤子对的自偏转效应。

厄米-高斯光束在饱和非线性介质中的传输特性

为了研究厄米-高斯光束在光折变饱和非线性介质中的传输特性,采用有限差分方法数值求解了光波演化方程,理论分析了厄米-高斯光束的传输特性。结果表明,1维1阶、2阶和3阶厄米-高斯光束在光折变非线性介质中传输时,在合适的非线性条件下,均可以形成呼吸模式的孤子;随着非线性的加大,厄米-高斯光束的光场分量之间的相互分离趋势将逐渐变弱,同时,每个光场分量的振幅起伏效应会更加明显;改变厄米-高斯光束的入射位置、入射角度对其传输特性没有影响;2维厄米-高斯光束的传输特性和1维情况是类似的。厄米-高斯光束的这些特性在光开关领域有一定的应用前景。

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:KN SBN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屏蔽光伏空间孤子

为了得到更完善的双光子屏蔽光伏孤子理论,采用光束的空间宽度不是远小于晶体宽度的条件,对有偏压的双光子光伏光折变介质中空间光孤子理论进行了修正,得出了明孤子和暗孤子数值积分解。结果表明,双光子屏蔽光伏孤子源于对外加电场的非均匀空间屏蔽和光伏效应,不同于起源于对外电场非均匀屏蔽的屏蔽孤子和起源于光伏效应的光伏孤子。当光伏效应被忽略时,屏蔽光伏孤子退化成屏蔽孤子,空间电荷场就是屏蔽孤子的空间电荷场;当外加电场为0时,屏蔽光伏孤子退化成开路或闭路的光伏孤子,空间电荷场就是晶体中的光伏场。

温度对屏蔽明空间孤子自偏转特性的影响

基于扩散效应以及暗辐射强度对温度的依赖关系,研究了温度对光折变屏蔽明空间孤子自偏转特性的影响.将明孤子作为入射孤子波,采用数值方法求解含扩散项的波传播方程.结果表明,考虑温度对暗辐射和扩散系数的影响,光折变屏蔽明空间孤子在传播过程中将发生自偏转,光束的中心沿一个抛物线轨迹偏转,并且光束中心的偏转距离随温度增加而增加,在一个特征温度处达到最大值,在高温区域和低温区域此偏转距离趋于零.光束中心的最大偏转距离和特征温度都随入射光强的增加而增加.

温度对双光子光折变屏蔽光伏亮孤子相互作用的影响

为了得到温度对外加电场的双光子光伏光折变介质中屏蔽光伏亮孤子之间相互作用的影响结果,将两束相干光束作为入射波,在不同温度下采用数值方法求解波传播方程。结果表明:室温下两个同相位孤子波的相互作用随温度变化伴有融合现象,当温度升高到350 K时两孤子可融合成一束稳定的孤子波;两个反相孤子相互排斥现象随温度变化而增强;相位差为π/2的两孤子,其相互作用随温度变化过程中有更多的能量转移,同时两孤子间的排斥现象随温度变化而增强。温度变化足够大时,两孤子作用过程中将发生崩溃现象。

热致非线性效应的类Kerr效应近似

论证了在一定近似条件下，热致非线性效应是一种类Ｋｅｒｒ效应，从而在理论上说明了在热致非线性效应作用下，在光学非线性介质中可以激发出空间光孤子。

横向非周期性调制Kerr介质中的空间光孤子

数值方法研究了横向非周期调制Kerr介质中所支持的空间光孤子。数值模拟结果显示研究模型存在三种类型空间光孤子:低功率下的双峰孤子,高功率下的基本孤子和稳定传输的双极孤子。应用线性稳定性分析方法研究了三种类型空间光孤子稳定传输的稳定谱,总结出三种类型光孤子稳定传输的条件。

非局域非线性介质中奇异空间光孤子传输特性研究

基于非局域非线性介质中空间光孤子的理论模型,采用分部傅里叶算法,研究了空间孤子在二维非局域非线性介质中的传输特性及其稳定性。结果表明,在该介质中存在拉盖尔-高斯型的空间孤子;孤子的传输特性受非局域介质的调制系数、调制深度,以及光束的初始条件等调控,并且传输距离越大,影响越显著。研究结果对完善和充实空间孤子理论体系有重要意义.

强非局域正交偏振双厄米高斯光束的传输特性

依据非局域非线性介质中双光束传输时遵循的非局域非线性薛定谔耦合方程,在强非局域情形下,通过把响应函数作泰勒展开近似取到二阶,运用变分法求出了正交偏振、中心重合的双厄米高斯光束在强非局域介质中传输时各参量演化规律和一个临界功率,并运用分步傅里叶算法数值模拟出了束宽和相位的演化规律。当两光束以临界功率入射时,得到了正交偏振、中心重合的双厄米高斯空间光孤子及其大相移演化规律。当两光束以总临界功率入射,但两束光的入射功率不等时,光束可以形成呼吸子,但随着阶数的增加呼吸子将越来越不稳定。对于各阶呼吸子,功率大的束宽都作周期性压缩振荡变化,功率小的束宽都作周期性展宽振荡变化,且两呼吸子中功率大的相移随传输距离增加更快。在厄米高斯光束阶数小于5时,变分解得到的结果与数值解吻合较好。