光束三阶非线性效应的混沌理论研究

介质的三阶非线性性质会引起光场的非线性相移,而这类介质中当光强及介质的特性参数满足一定条件时,可以使光场的演化进入混沌的状态。从麦克斯韦方程组出发,推导了基于介质三阶非线性效应的麦克斯韦-布洛赫方程,并将其转化为归一化的洛伦兹方程形式。利用此方程,数值模拟了光场稳态及混沌态的演化过程。研究结果表明,三阶非线性介质中光场的演化可以进入混沌状态,这种状态对于控制材料中如自聚焦等有害的三阶非线性效应是不利的。     

伴随自聚焦的受激布里渊散射相位共轭研究

在聚焦激发方式下,当不均匀泵浦光场包含一个还发生自聚焦的强分量时,受激布里渊散射仍能产生高质量的共轭波。散射波这时完全发自自聚焦所形成的亮丝区域。共轭比η依赖于强分量和总入射光的强度之比σ,并在0<σ<1间区某处形成一极大值η_max(=80％)。借助“光纤”集光的细丝模型计算了自聚焦对η(σ)的影响,得到同实验圆满一致的结果。 关键词：     

图解法分析自聚焦透镜的物像关系

从自聚焦透镜的成像特性出发,导出了自聚焦透镜与普通透镜相同的高斯物像公式.采用理想光具组图解法分析了自聚焦透镜子午光线的成像.该成像法只需要找出基点、基面的位置,利用两条特殊光线,便可以在确定物体具体位置和高度的情况下通过图解法,得出像的具体位置和大小.对直径为1.82 mm的自聚焦透镜的物像关系进行了实验研究,结果表明图解法能够很好地分析自聚焦透镜成像.     

自聚焦透镜列阵重叠度的研究

本文讨论了自聚焦透镜列阵重叠度,分析了重叠度对分辨率及照度分布的影响,并对一系列单根自聚焦透镜和两列自聚焦透镜列阵作了测量,得到了制造自聚焦透镜列阵的一个重要依据.实验中总结出照度分布不均匀规律的经验公式.     

超短强激光脉冲在大气传播中的自聚焦行为

通过建立涉及克尔效应和多光子电离效应的非线性数学模型,利用数值方法研究了超短激光脉冲在大气传播中的聚焦行为。结果表明由自聚焦导致的成丝现象具有间断,而不是一种稳态的模式。每次轴上的成丝都会由于光场损耗减弱,但同时由于克尔效应会使离轴区域的能量间断地补充到光轴上。     

双模SU(1,1)相干态光场与V-型三能级原子玻色-爱因斯坦凝聚体相互作用系统中光场的压缩特性

在双模SU(1,1)相干态光场和V-型三能级原子玻色-爱因斯坦凝聚体相互作用系统中,应用全量子理论,在旋波近似下,研究了双模光场的压缩特性,分别讨论了光场与原子之间的耦合常数、原子之间的相互作用和光场参数对光场压缩特性的影响.研究表明,光场的两个正交分量均被周期性压缩,光场与原子的耦合系数和原子间的相互作用强度增大时均使得光场正交分量涨落的周期缩短;光场参数的变化不影响光场压缩的周期,对压缩深度有一定的影响.     

多艾里光束合成自聚焦光束的实验实现

多光束合成和单光束聚焦一直是提高激光束功率和功率密度的两个重要方法. 结合艾里光束在自由空间中沿弯曲路径传播的特性, 从数值模拟和实验两个方面, 研究了利用多个一维艾里光束合成自由空间自聚焦光束的方法, 并对所得到的模拟和实验结果进行了对比. 采用分步束传播法, 分别模拟了由四个和八个一维艾里光束合成的自聚焦光束在自由空间中的传播过程, 给出了自聚焦光束在传播过程中横向和纵向的光强分布和变化趋势. 采用计算全息和空间光调制器技术实验, 实现了多个一维艾里光束合成的自聚焦光束. 实验中分别测量了四个和八个一维艾里光束合成的自聚焦光束的横向光强分布. 实验结果和理论结果符合得较好. 另外, 为了进一步增大自聚焦光束的功率, 可以增加参与合成的一维艾里光束的数量. 同时, 自聚焦光束的焦距可以通过调整各个一维艾里光束的相对位置进行调节.     

自聚焦透镜的光斑尺寸与像差特性分析

对自聚焦透镜的光斑尺寸和像差特性进行了理论分析.利用自聚焦透镜光斑测量系统对样品的出射光斑进行了扫描,测得了光斑的大小；用读数显微镜和正方形网格图分别测量了样品的球差和畸变,并对光斑的测量作了误差分析,讨论了球差与畸变、光斑和像差之间的关系.所得结果对光斑质量的改善、像差特性的研究和自聚焦透镜的评估有一定的参考价值.     

Kerr介质中与V型三能级原子依赖强度耦合系统光场的二阶相干性质

利用全量子理论,研究了存在Kerr介质时,单模光场与V型三能级原子依赖强度耦合系统的非共振相互作用系统中光场的二阶相干性质.讨论了Kerr介质与光场耦合常数、初始光场的平均光子数和失谐量对光场的二阶相干度的影响.     

自聚焦透镜列阵的设计原理与制造

讨论了自聚焦透镜及其列阵成像的规律.根据所需列阵的共轭距离,分辨率等确定单根自聚焦透镜的几何尺寸和光学参数,设计出复印机用的自聚焦透镜列阵.最后,对列阵的制造作了初步介绍.     

Nonlinear light bullets in purely lossy,self-focusing media

We report on light bullet propagation supported by a dynamic equilibrium between self-focusing and nonlinear losses. Unlike solitons, self-focusing is not eliminated, but only frozen. Losses are not compensated by a conical energy flux, but only by that arising from self-focusing. These light bullets rebuild after obstacles, a property that was thought to be exclusive of conical waves.     

Self-Focusing of a Light Beam in a Medium with Relativistic Nonlinearity: New Analytical Solutions

In contrast to the existing theories of the relativistic self-focusing of a light beam in a plasma, the problem of a steady self-focusing light beam with a given input Gaussian radial intensity distribution has been analytically solved approximately with the use of a renormalization group approach. Depending on the parameters of the plasma and laser beam, solutions describing its longitudinal–radial waveguide structure have been obtained. These solutions demonstrate three characteristic types of relativistic self-focusing: (i) self-focusing on an axis, (ii) self-focusing in the form of a tubular channel, and (iii) self-trapping distribution.     

Light propagation in media with a highly nonlinear response: An analytical study

The problem of light propagation in highly nonlinear media is studied with the help of a recently introduced systematic approach to the analytical solution of equations of nonlinear optics [L.L. Tatarinova, M.E. Garcia, Exact solutions of the eikonal equations describing self-focusing in highly nonlinear geometrical optics, Phys. Rev. A 78 (2008) 021806(R)(1—4)]. Numerous particular cases of media exhibiting high-order nonlinear refractive indices are considered. We obtain analytical expressions for determining the self-focusing position and a new exact expression for calculating the filament intensity. The constructed solutions allowed us to revise a so-called self-focusing scaling law, i.e., the functional dependence of the self-focusing position on the initial light peak intensity. It was demonstrated that this dependence is governed by the form of the nonlinear refractive index and not by the laser beam shape at the boundary.     

Observation of bright spatial photorefractive solitons in a planar strontium barium niobate waveguide

We have obtained stationary bright spatial solitons in a planar photorefractive strontium barium niobate waveguide for visible light ranging from 514.5 to 780 nm. Even for larger wavelengths (lambda=1047 nm) strong self-focusing of the beam was observed; however, input power had to be some orders of magnitude higher than for visible light for self-focusing to occur. Furthermore, we found transient self-trapping of red light (lambda=632.8 nm) that corresponds to the formation of bright quasi-steady-state solitons.     

一种自聚焦透镜的成像解

自聚焦锥透镜与圆柱透镜相比较，有其特殊之处。柱透镜在近轴平行光入射时，光线的振幅、相位、周期保持不变，而锥透镜的三者均发生变化，而且求解锥透镜的光线方程也比圆柱透镜复杂得多。本文推导了一个锥透镜的光线方程。可据此设计经过锥透镜后的光源大小，这在微系统照明中非常有用。     

应用于激光扫描投影仪器的动态聚焦技术研究

为了实现激光投影仪器或系统的自动聚焦，研究搭建了激光动态聚焦系统。该系统可依据背向反射光强信号的变化调节聚焦系统的镜组间距，使激光扫描投影系统能够在不同距离的投影面上聚焦出最小光斑，从而提高系统的定位精度。根据激光动态自聚焦系统的原理，设计了光学杠杆型和反远距型2种动态自聚焦方案，并推导出相应的数学模型；利用ZEMAX光学设计软件进行仿真实验，通过比较得出响应更加灵敏、结构更加合理的自聚焦系统；搭建新型自聚焦激光扫描投影系统对动态自聚焦性能进行了验证。实验结果表明:反远距型动态自聚焦系统更加合理，在4.5 m处的投影面上，汇聚光斑直径最优可达0.2 mm，可使激光扫描投影仪在进行辅助装配时的定位准确度提高至0.1 mm，能够达到先进制造装配工程中零部件的精准定位要求。     

Rytov transformation in the problem of the self-focusing of a light beam

A method of the complex phase of the envelope of a light field has been proposed for the problem of the self-focusing of a beam in a medium with cubic nonlinearity. The complex phase has been introduced by means of the Rytov transformation. Boundary conditions have been obtained under the assumption that the light fields at the periphery of the beam undergoing self-focusing and linear diffraction coincide with each other. The transition from the slowly varying amplitude to its complex phase provides a significant expansion of the ranges of the amplitude and intensity in the light beam in theoretical investigations. The applicability of the complex phase method is illustrated on particular examples.     

FILAMENTATION INSTABILITY OF LASER BEAMS IN NONLOCAL NONLINEAR MEDIA

The filamentation instability of laser beams propagating in nonlocal nonlinear media is investigated. It is shown that the filamentation instability can occur in weakly nonlocal self-focusing media for any degree of nonlocality, and in defocusing media for the input light intensity exceeding a threshold related to the degree of nonlocality. A linear stability analysis is used to predict the initial growth rate of the instability. It is found that the nonlocality tends to suppress filamentation instability in self-focusing media and to stimulate filamentation instability in self-defocusing media. Numerical simulations confirm the results of the linear stability analysis and disclose a recurrence phenomenon in nonlocal self-focusing media analogous to the Fermi-Pasta-Ulam problem.     

Impact of light absorption and temperature on self-focusing of zeroth-order Bessel–Gauss beams in a plasma with relativistic–ponderomotive regime

The influence of light absorption and temperature on self-focusing of zeroth-order Bessel–Gauss beams through plasma, with relativistic–ponderomotive regime, is investigated in this paper. The nonlinear differential equation for beam-width is established by using parabolic equation approach under Wentzel–Kramers–Brillouin (WKB) paraxial approximation and solved numerically. The numerical results show the effects of beam parameter, relative density plasma, intensity parameter, absorption coefficient and plasma electron temperature on self-focusing of zeroth-order Bessel–Gauss beams in plasma. The self-focusing of Gaussian beams in the considered plasma is also deduced as a particular case in the present work.