χ~(3)+χ~(5)介质中非束缚态空间亮孤子的传输行为

本文从理论上研究了主克尔型介质中非束缚态空间亮孤子的传输行为数值计算结果表明：在主克尔型χ（３）＋χ（５）介质中可以传输非束缚态空间亮孤子传输稳定性与其背景平面波的横向渐近传播常数ｑ和χ（３），χ（５）系数有关，非平凡相位因子在三、五阶效应竞争中的平衡作用，是获得非束缚态空间亮孤子稳定传输的关键     

χ3+χ5介质中非束缚态空间亮孤子的传输行为

本文从理论上研究了主克尔型介质中非束缚态空间亮孤子的传输行为。数值计算结果表明:在主克尔型χ⁽³⁾+χ⁽⁵⁾介质中可以传输非束缚态空间亮孤子。传输稳定性与其背景平面波的横向渐近传播常数q和χ⁽³⁾,χ⁽⁵⁾系数有关,非平凡相位因子在三、五阶效应竞争中的平衡作用,是获得非束缚态空间亮孤子稳定传输的关键。     

(1+2)维空间光孤子在非局域克尔介质中的传输特性

 从非局域非线性薛定谔方程出发，采用分步傅里叶算法数值讨论了在一定的非局域程度条件下，（1+2）维空间光孤子的传输特性， 数值求解了光孤子各特性参量。假定非局域克尔介质的响应函数为高斯型，得出了在一定的非局域程度条件下空间光孤子的数值解，并数值证明了它们的稳定性。结果表明:（1+2）维光孤子对非局域程度依赖性很强。在一定的非局域程度下，光束能以光孤子态在非局域克尔介质中稳定传输。强非局域时，光孤子的波形是高斯型，其它的非局域程度下，不是高斯型。当非局域程度较弱时，不存在孤子解。     

梯度折射率非局域介质中空间孤子振荡行为研究

应用等效粒子近似方法研究了光学空间孤子在带有局域和非局域非线性横向非均匀介质中的传输动力学行为.发现孤子在传播过程中横向的周期性振荡.折射率调制幅度和波导的归一化宽度决定了振荡周期的大小.介质的非局域对振荡振幅有着较小的影响.模拟了孤子传输过程,所得数值结果与理论分析符合很好.此外,模拟传输还发现多孤子束缚态能够在这个模型中稳定传播.这种振荡特性或许可以应用于光学路由器、转换器、开关等.     

非局域克尔介质中厄米高斯光束传输的变分研究

在非局域非线性克尔介质中,通过对介质实对称响应函数的泰勒展开,简化了非局域非线性薛定谔方程所对应的Lagrange密度,进而利用变分法对光束的传输问题进行了分析.求出试探解各个参量的演化方程并得到了自聚焦介质中的厄米高斯型光束的精确解析解,当输入功率达到临界功率时,即形成高阶空间光孤子(厄米高斯孤子),其最低阶(基模光孤子)就是高斯孤子.通过数值模拟发现解析解与数值解符合得很好. 关键词： 非局域克尔介质 变分法 厄米高斯光束 空间光孤子     

强非局域非线性介质中光束传输的空间光孤子解

利用1+2维Snyder-Mitchell模型讨论了柱坐标系下光束传输过程，得到了强非局域非线性介质中光束稳定传输的拉盖尔高斯型解，即空间光孤子解，并得到了入射光束稳定传输的临界功率.图示展现了几个低阶光孤子解，并发现了强非局域非线性介质中存在圆环形光孤子. 关键词： 强非局域非线性介质 拉盖尔高斯(Laguerre-Gauss)解 高阶空间光孤子     

非局域克尔介质中空间光孤子的相互作用

研究了强非局域克尔介质中光束的演化规律，通过相位分析得到了空间孤子相互作用所满足 的非局域非线性薛定谔方程的简化近似模型，并获得了双光束传输的解析解.结果表明在传 输过程中相互作用的高斯光束的相位决定于它们的输入总功率.以振幅一强一弱共同传输的 高斯光束为例进行了具体研究，得到了强光和弱光的解析式，相位分析显示弱光在相当短的 传输距离之内能产生大的相移，可以通过对强光能量的调控来实现对弱光的相位调制. 关键词： 非局域克尔介质 空间光孤子 孤子相互作用 相位调制     

不同非局域程度条件下空间光孤子的传输特性

光束在非局域非线性介质中传输由非局域非线性薛定谔方程描述.讨论了在不同非局域程度 条件下，空间光孤子的传输特性.提出了一个基于分步傅里叶算法数值求解孤子波形和分布 的迭代算法.假定介质的非线性响应函数为高斯型，得出了在不同非局域程度条件下空间光 孤子的数值解，并数值证明了它们的稳定性.结果表明，不论非局域程度如何，光束都能以 光孤子态在介质中稳定传输.光孤子的波形是从强非局域时的高斯型过渡到局域时的双曲正 割型，形成孤子的临界功率随非局域程度的减弱而减小，光孤子相位随距离线性增大，相位 的变化率随非局域程度的减弱而减小. 关键词： 非局域非线性薛定谔方程 空间光孤子 临界功率 相位     

非局域高次非线性介质中的多极暗孤子

研究一维非局域三-五次非线性模型下,暗孤子和多极暗孤子的新解和传输特性.发现非局域程度和非线性参量变化对暗孤子的峰值和束宽产生影响,并且在特定的竞争非局域非线性参数下存在稳定基态暗孤子和多极暗孤子的束缚态.另外,讨论了在局域自聚焦三次和非局域自散焦五次非线性介质中暗孤子和两极暗孤子的传输特性,发现孤子比在自散焦三次和自聚焦五次的非线性介质中传输更加稳定.进一步研究了单暗孤子和三极暗孤子的功率与传播常数和非局域程度的关系,并讨论了不同类型暗孤子的线性稳定性问题.     

空间非相干多分量光束构成的非相干耦合屏蔽孤子对

两束本身具有空间非相干性的非相干多分量光束可以在光折变介质中形成非相干耦合 屏蔽孤子对，利用相干密度法得到了亮 亮、暗 暗型耦合孤子对的解，并研究了构成 非相干孤子对分量光束的相干组分的传播特性. 关键词： 空间非相干多分量光束 耦合孤子对 相干密度 相干组分     

Temporal behavior of spatial solitons in centrosymmetric photorefractive crystals

We investigate theoretically the time behavior of spatial solitons in biased centrosymmetric photorefractive crystals. A one-dimensional time-dependent wave propagation equation in biased centrosymmetric photorefractive crystals is presented. It is shown that the bright solitons exist in both quasi-steady-state and steady-state regimes for high saturation values. When the intensity ratio is smaller than unity, the bright soliton width decreases monotonically to a minimum value toward steady state. Moreover, the time-dependent nonlinear wave equation exhibits only steady-state screening dark spatial solitons.     

Various Kinds Waves and Solitons Interaction Solutions of Boussinesq Equation Describing Ultrashort Pulse in Quadratic Nonlinear Medium

The consistent tanh expansion (CTE) method is applied to the (2+1)-dimensional Boussinesq equation which describes the propagation of ultrashort pulse in quadratic nonlinear medium. The interaction solutions are explicitly given, such as the bright soliton-periodic wave interaction solution, variational amplitude periodic wave solution, and kink-periodic wave interaction solution. We also obtain the bright soliton solution, kind bright soliton solution, double well dark soliton solution and kink-bright soliton interaction solution by using Painlevé truncated expansion method. And we investigate interactive properties of solitons and periodic waves.     

Spatial soliton by cascading χ(2) effect and its self-induced wave-guide in quasi-phase-matched media

The formation of the spatial solitons in the quadratic nonlinearity χ(2) media by cascading second harmonicgeneration (SHG) in quasi-phase-matched (QPM) sample is studied on the basis of nonlinear Schrodingerequation (NLSE). When the solitary wave propagates in the QPM media, it formed optical wave-guidesthrough cascading χ(2) effect called self-induced soliton wave-guide. Transverse refractive index distribu-tion of the self-induced soliton wave-guide of fundamental and SHG wave is obtained by cascading process.Analysis of guided-mode of such self-induced soliton wave-guide is first proposed to our knowledge. Be-cause the power needed for forming the spatial solitons in cascading process is much lower than that inKerr media, this kind of self-induced soliton wave-guide shows potential applications in all-optical signalprocess.     

Separate spatial soliton pairs in an unbiased series two-photon photorefractive crystal circuit

Dark (bright) steady-state spatial solitons are predicted in one dimension for a series circuit consisting of two two-photon photorefractive crystals of which at least one must be photovoltaic. Each crystal can support a spatial soliton. The two solitons are known collectively as separate spatial soliton pairs with three types: dark-dark, bright-dark and bright-bright. In the limit in which the optical wave has a spatial extent much less than the width of the crystal, the dark soliton can affect the other soliton by light-induced current, but the bright soliton cannot affect the other soliton in the soliton pair.     

有偏压光折变晶体中的小振幅行波孤子

利用行波变换法，推导出有正偏压光折变晶体中小振幅光波的行波正、负孤子解，证明在有正偏压光折变晶体中存在着正、负行波孤子；研究行波正、负孤子在光折变晶体中的传播，同已报道的稳态光折变空间孤子相比，它们具有不同的特性，行波正、负孤子在晶体中都表现为亮孤子，其幅度和宽度不变，传播中沿着直线的轨迹偏转，调整系统参数可以任意控制偏转角度. 关键词： 行波孤子 行波变换 光折变晶体 偏转     

Exact Solutions to Extended Nonlinear Schrödinger Equation in Monomode Optical Fiber

By using the generally projective Riccati equation method, more new exact travelling wave solutions to extended nonlinear Schrödinger equation (NLSE), which describes the femtosecond pulse propagation in monomode optical fiber, are found, which include bright soliton solution, dark soliton solution, new solitary waves, periodic solutions, and rational solutions. The finding of abundant solution structures for extended NLSE helps to study the movement rule of femtosecond pulse propagation in monomode optical fiber.     

Separate Holographic-Hamiltonian screening soliton pairs in a biased series photorefractive crystal circuit

Separate Holographic-Hamiltonian screening soliton pairs are predicted in a biased series photorefractive crystal circuit consisting of two photorefractive crystals connected electronically by electrode leads in a chain with a voltage source. The existence of four types of the separate soliton pairs: dark–dark, bright–dark, dark–bright and bright–bright in such a circuit is proved. Under the limit in which the spatial extent of the optical wave is much less than the width of the crystal, the Hamiltonian dark soliton can affect the other soliton by the light-induced current whereas the Hamiltonian bright soliton and holographic soliton cannot affect the other soliton in the soliton pair.     

Evolution of Bright Screening-photovoltaic Spatial Optical Solitons

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Evolution of Bright Screening-photovoltaic Spatial Optical Solitons

A numerical analysis of the dynamical evolution of bright screening-photovoltaic (SP) spatial solitons in biased photovoltaic-photorefractive materials in the case of neglecting the material loss and the diffusion is presented. When an incident optical beam is a bright SP soliton, the beam propagates along a linear path with its shape kept unchanged. When the incident optical beam is slightly different from a bright SP soliton, the beam reshapes itself and tries to evolve into a bright SP soliton after a short distance. However, when the incident optical beam is significantly different from a SP bright soliton, the beam cannot evolve into a stable bright SP soliton, and tends to experience periodic compression and expansion. For a low-intensity input beam, the wave experiences a periodic process of compression first and then expansion during the initial part of the cycle. For a high-intensity input beam, however, the wave will initially diffract and then experiences compression during the cycle.