Temporal behaviour of open-circuit photovoltaic solitons

Based on the time-dependent band-transport model in a photorefractive medium, dark open-circuit photovoltaic (PV) solitons are investigated both theoretically and experimentally. Compared with those of the time-independent models, our theoretical results revealed that quasi-steady-state and steady-state PV solitons can both be obtained. Our results also revealed that when r < 1 (r is the normalized intensity at infinity), the full width at half maximum (FWHM) of solitons decreases monotonically to a constant value; when r > 1, however, the FWHM of solitons first decreases to a minimum before it increases to a constant value. Moreover, the FWHM of steady solitons decreases with increasing intensity ratio for r < 1, and increases with increasing intensity ratio for r > 1. We further observed dark PV solitons in experiments, and recorded their evolution. These results indicated that steady solitons can be observed at low optical power, while quasi-steady-state solitons can only be generated at higher optical power. Good agreement is found between theory and experiment.     

温度对双光子亮光伏空间孤子演化特性的影响

基于扩散效应及暗辐射强度对温度的依赖关系,研究了温度对双光子光伏光折变介质中亮光伏空间孤子动态演化及自偏转特性的影响。将亮孤子作为入射孤子波,采用数值方法求解孤波演化方程,结果表明:在给定温度下,双光子光折变介质中可以形成稳定的亮光伏空间孤子,当介质的温度变化不大时,孤子将克服较小的扰动而保持稳定的孤子传播,当温度变化足够大时,孤子将变得不稳定甚至崩溃;在一定温度范围内,孤子中心的自偏转距离随着温度的升高而增加,在特定温度下达到最大值,之后随着温度的升高而减小。     

Higher-order space-charge field effects on the self-deflection of two-photon bright photovoltaic spatial solitons

We investigate numerically the effects of higher-order space-charge field on the self-deflection of bright photovoltaic spatial solitons in two-photon photovoltaic photorefractive crystals under steady-state conditions. The expression for an induced space-charge electric field, including higher-order space-charge field terms is obtained. The dynamical evolution equation is built in which the effects that arise from these higher-order terms are considered. Numerical results indicate that bright photovoltaic solitons can bend towards both the same direction as the crystal's c-axis and the opposite direction, respectively. Specifically, self-deflection cannot occur for bright photovoltaic solitons if the strength of the photovoltaic field and the intensity of the input beam are appropriately selected. Relevant examples are provided.     

LiNbO3晶体中光伏亮孤子实验研究

从理论上分析了具有不同Glass常数的背景光在晶体折射率空间分布相对变化中的作用,得到了折射率改变为负的晶体中形成亮、暗光伏孤子的条件. 以此为基础,用532nm的e光作信号光、488nm的o光作背景光并不断变化背景光和信号光的功率,首次在实验上观察到了LiNbO₃∶Fe晶体中亮光伏孤子的形成. 关键词： 亮光伏孤子 自散焦 自聚焦 光生伏打效应     

低振幅双光子屏蔽光伏孤子的时间特性

为了得到低振幅双光子屏蔽光伏孤子时间特性的结果,采用数值模拟的方法对低振幅双光子屏蔽光伏孤子的时间特性进行了理论分析,得到了明和暗孤子时间特性的演化方程。结果表明:孤子的宽度随时间的演化单调递减到一个最小值直至稳态孤子的形成,在相同的演化时间内,孤子的半峰全宽随着孤子峰值强度和暗辐射比值的增大而变窄。     

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     

光折变空间光孤子的顶侧面观测法

基于CCD图像采集技术与计算机软件处理技术，提出了空间光孤子的顶侧面观测法.此方法能够非常直观地显示出光孤子在晶体内部传输时，在水平及垂直方向上不同位置的轮廓图.用这种方法观测到了KNSBN晶体中的二维光伏明孤子，观测结果与理论模拟结果相一致.     

全息明孤子的波导特性

研究了光折变晶体中的全息明孤子所产生的波导的特性，结果表明波导所有可能的导模数依赖于产生波导的全息明孤子光的强度.利用数值计算给出了在不同的孤子强度时波导的导模并考察了波导对导模和正弦余弦波的动态导引.     

光伏暗孤子和灰孤子的自偏转

分别用数值法和微扰法研究了考虑背景光时光伏暗空间孤子的自偏转特性.与亮孤子不同，暗孤子光束中心的运动轨迹不为抛物线.在归一化的直角坐标系(ξ,ζ)中，暗孤子朝ξ>0的方向偏转；同时，暗孤子光束中心光强发生改变.通过调节晶体对信号光和背景光的有效光伏系数之比r或信号光光强可以控制它的自偏转.还用数值方法研究了灰空间孤子的自偏转特性，发现灰孤子光束自偏转特性依赖于横向初速度v.当v>0时，灰孤子光束朝ξ>0的方向 关键词： 光伏空间暗孤子 光伏空间灰孤子 扩散效应 自偏转     

One-dimensional steady-state bright photovoltaic solitons in LiNbO3:Fe crystal with background illumination

We investigate theoretically and experimentally one-dimensional bright photovoltaic solitons in LiNbO₃:Fe crystal by use of the background illumination. We find that, in LiNbO₃:Fe crystal, bright photovoltaic solitons can be obtained with background illumination for κ>1, where κ is the ratio of the background illumination photovoltaic constant to the soliton optical beam's photovoltaic constant. For κ<1, dark photovoltaic solitons are generated. On the other hand, our experiments show good agreement with theoretical prediction for the soliton existence curve in a special intensity ratio.     

Quasistable bright dissipative holographic solitons in photorefractive two-wave mixing system

The dynamical evolution of both signal and pump beams are traced by numerically solving the coupled-wave equation for a photorefractive two-wave mixing system. The direct simulations show that, when the intensity ratio of the pump beam to the signal beam is large enough, the pump beam presents a common decaying behaviour without modulational instability (MI), while the signal beam can evolve into a quasistable spatial soliton within a regime in which the pump beam is depleted slightly. The larger the ratio is, the longer the regime is. Such quasistable solitons can overcome the initial perturbations and numerical noises in the course of propagation, perform several cycles of slow oscillation in intensity and width, and persist over tens of diffraction lengths. From physical viewpoints, these solitons actually exist as completely rigorous physical objects. If the ratio is quite small, the pump beam is apt to show MI, during which the signal beam experiences strong expansion and shrinking in width and a drastic oscillation in intensity, or completely breaks up. The simulations using actual experimental parameters demonstrate that the observation of an effectively stable soliton is quite possible in the proposed system.     

扩散效应对光伏孤子相互作用的影响

用数值方法研究扩散效应对两个平行传播相干光伏孤子光束相互作用的影响. 结果表明，在扩散效应的影响下，两相干孤子光束同相相互作用不是使它们相互融合, 而是使它们趋向相互分离，且光束之间存在能量耦合；异相孤子相互作用不再是简单地互相排斥，在一定的条件下，两光束既互相排斥，又同时向同侧偏转. 关键词： 光伏空间孤子 相干相互作用 扩散效应     

Pyroelectric photovoltaic spatial solitons in unbiased photorefractive crystals

A new type of spatial solitons i.e. pyroelectric photovoltaic spatial solitons based on the combination of pyroelectric and photovoltaic effect is predicted theoretically. It shows that bright, dark and grey spatial solitons can exist in unbiased photovoltaic photorefractive crystals with appreciable pyroelectric effect. Especially, the bright soliton can form in self-defocusing photovoltaic crystals if it gives larger self-focusing pyroelectric effect.     

Effect of temperature on the evolution of bright and dark screening—photovoltaic spatial solitons

We investigate theoretically the temperature effects on the evolution of both bright and dark screening-photovoltaic optical spatial solitons in biased photovoltaic-photocefractive crystals in the case of neglecting the diffusion process.For a stable bright or dark screening-photovoltaic soliton originally formed in a crystal at a given temperature,when the crystal temperature changes,it will evolve into another stable screening-photovoltaic soliton if the change is quite small,whereas it will become unstable or break down if the temperature change is large enough.The spatial shape of a stable screening-photovoltaic soliton can be reshaped by appropriately adjusting the crystal temperature.     

非相干耦合的亮和暗光伏空间孤子对的偏转特性

采用数值方法研究了在一个具有扩散效应的光伏光折变晶体中的非相干耦合的亮和暗光伏空间孤子对的偏转特性.结果表明,由于非相干相互作用,晶体中的一个亮孤子和一个暗孤子互相俘获,且两个孤子的中心沿着相同的轨迹移动.发现,当亮孤子的入射峰值强度不变时,通过调节暗孤子的入射背景强度可以控制亮孤子的偏转;当暗孤子的入射背景强度处于一个特殊值时,亮孤子的偏转被抑制,而当暗孤子的入射背景强度偏离这个特殊值时,亮孤子发生偏转.同样,当暗孤子的入射背景强度不变时,其偏转可以通过调节亮孤子的入射峰值强度来控制.     

Waveguides induced by grey screening solitons

We investigate the properties of waveguides induced by one-dimensional grey screening solitons in biased photorefractive crystals. The results show that waveguides induced by grey screening solitons are always of single mode for all intensity ratios, i.e. the ratios between the peak intensity of the soliton and the dark irradiance. Our analysis indicates that the energy confined near the centre of the grey soliton and the propagation constant of the guided mode of the waveguide induced by the grey screening soliton increase monotonically with intensity ratio increasing. On the other hand, when the soliton greyness increases, the energy confined near the centre of the grey soliton and the propagation constant of the guided mode of the waveguide induced by the grey screening soliton decrease monotonically. Relevant examples are provided where photorefractive crystal is of the strontium barium niobate type.     

光伏孤子对向传播相互作用研究

用数值方法研究了对向传播条件下不同频率的光伏孤子的相互作用行为.结果表明，两个不同频率的光伏孤子在对向传播相互作用过程中表现出不同的空间演化动力学特性.共轴对向传播时两孤子光场有着不同的会聚或发散行为，并且依赖于晶体长度；非共轴对向靠近传播孤子的会聚或发散作用有所减弱，但频率较大的孤子对频率较小的孤子有显著的吸引作用，使其发生横向偏移，孤子的演化方式也不同于同向传播的情形.     

完全非相干白光一维光生伏打暗空间孤子

使用白炽灯作光源在LiNbO₃∶Fe晶体内实验观察到一维白光光生伏打暗空间孤 子. 由奇数 和偶数初始条件分别产生了灰孤子和灰孤子对，它们所感应的波导能导向白光和相干光. 用 相干光清楚地探测到它们内部的多模结构. 该实验证明了白光光生伏打暗空间孤子的存在， 并指出了用完全非相干的白光暗孤子控制和导向相干光的可能性. 关键词： 光生伏打效应 自陷 完全非相干孤子 波导     

Internal mode of incoherent photovoltaic vector solitons

The internal modes of incoherent vector solitons (IVSs) in photovoltaic photorefractive materials are investigated in the framework of coupled nonlinear Schr\"{o}dinger equations. It is found that there is a pair of internal modes corresponding to a bright--bright IVS. The propagation dynamics of the bright-bright IVS perturbed by the internal modes is simulated by numerical method.     

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

The temporal property of grey screening spatial solitons due to two-photon photorefractive effect in lowamplitude regime is analyzed. The results indicate that a broad solitons is generated at the beginning, and as time evolves, the intensity width of grey solitons decreases monotonically to a minimum value toward steady state. In the same propagation time, the FWHM of solitons decreases with p increasing or m decreasing. Moreover, the formation time of solitons is independent of p and m. The time is close to a constant determined by the dielectric relaxation time.