余弦平方高斯光束通过无光栏透镜的梯度力

基于Collins公式推导了余弦平方高斯光束通过无光栏透镜光学系统聚焦后的光强分布及梯度力,采用数值模拟分析梯度力分布及光阱的数量、位置及尺度随光束参数、光束入射距离及系统菲涅耳数的变化。结果表明:光束相关参数b越大光阱的数量越多,光阱的位置随光束入射距离而改变,大小随系统菲涅耳数的增加而减小,但不影响其位置。     

Aberrated diffraction patterns of off-axis Gaussian beams

Fraunhofer diffraction patterns of off-axis Gaussian beams passing through an optical system having primary spherical aberration are investigated. The resultant diffraction patterns show a nearly elliptical form with a transverse focal shift which depends on the incident position of the Gaussian beams on the pupil and on their radius.     

Diffraction patterns of off-axis gaussian beams in the presence of third-order spherical aberration in the optical system

The intensity distribution of diffraction patterns for off-axis gaussian beams at the image plane of an optical system with third-order spherical aberration is calculated by using the concept of the beam aberration function previously introduced by the present authors. The results show how the peak intensity of the diffraction patterns diminishes and how the transversel focal shift occurs as a function of the incident position of the beams at the pupil plane and their beam size.     

界面反射偏振象差分析

在光学没计中,一般认为在同一光波面上,光束具有相同的振幅和偏振状态。事实上,光束经过许多光学元件后,偏振状态会发生变化,特别是入射角和光程的不同,会导致出射光波面上偏振分布不再均匀,形成偏振象差。本文主要就轴上物点发出的光束经过界面反射后的偏振象差方面进行了分析。     

像差对星敏感器星点定位精度的影响

光学系统星点定位精度是表征星敏感器性能的一个重要指标,像差对该精度有一定影响。分析光学系统像差对星点定位精度的影响,在计算典型中等精度星敏感器光学系统星点定位误差的基础上,提出用实际测得的星点光斑能量质心位置计算理想位置的误差补偿新方法。计算结果表明:像差对高精度(如角秒级)星敏感器姿态测量精度的影响不可忽略;采用星点定位误差补偿后,星敏感器三轴姿态测量误差RMS值分别为0.38″,0.38″,5.77″,仅为原来的1/17。     

高级象差理论

本文的主要目的在以近似方法讨论高级象差特性。首先由对称性讨论了二级象差的独立象差数,近似讨论了象差的几何意义,再由坐标变换的观点导出了光栏移动时象差变化的规律。由Fermat原理和同一光线可看作是各不同点发出的观点导出了物体移动时象差变化的规律。由于运用Fermat原理,所得的结果实际上是略去初级象差影响后的近似结果,因此表示式相当简单。然后我们把象差产生的原因分为二类。其一称作是本徵的,是入射光束无象差时必然产生的象差,用象差看作球差的观点导出了它们的表示式,结果表明,高级球差和本徵轴外球差是象差产生的原因,并导出了各种象差同时产生的状况。象差的另一类称作是衍生的,它们是由入射光线原有象差引起的初级象差差异,由初级象差理论即可得出它们的表示式。这一些高级象差的规律和近似表示可作为评断象差产生原因的半定量依据。最后,用Fermat原理讨论了高级色差问题,并说明Fermat原理之所以可在高级象差理论中应用的理由及不致误差过大的应用范围。     

Peculiarities of the Self-Action of Inclined Wave Beams Incident on a Discrete System of Optical Fibers

Based on a discrete nonlinear Schrödinger equation (DNSE), we studied analytically and numerically the peculiarities of the self-action of one-dimensional quasi-optic wave beams injected into a spatially inhomogeneous medium consisting of a set of equidistant mutually coupled optical fibers. A variational approach allowing the prediction of the global evolution of localized fields with the initially plane phase front was developed. The self-consistent equations are obtained for the main parameters of such beams (the position of the center of mass, the effective width, and linear and quadratic phase-front corrections) in the aberrationless approximation. The case of radiation incident on a periodic system of nonlinear optical fibers at an angle to the axis oriented along them is analyzed in detail. It is shown that for the radiation power exceeding a critical value, the self-focusing of the wave field is observed, which is accompanied by the shift of the intensity maximum followed by the concentration of the main part of radiation only in one of the structural elements of the array under study. In this case, the beams propagate along paths considerably different from linear and the direction of their propagation changes compared to the initial direction. Asymptotic expressions are found that allow us to estimate the self-focusing length and to determine quite accurately the final position of a point with the maximum field amplitude after radiation trapping a channel. The results of the qualitative study of the possible self-channeling regimes for wave beams in a system of weakly coupled optical fibers in the aberrationless approximation are compared with the results of direct numerical simulations within the DNSE framework.     

Compton散射下等离子体中的离子加速

应用电子与多光子集团非线性Compton散射模型,将入射和散射光作为离子的传输机制,研究了Compton散射下多束相干强耦合激光等离子体中离子的运动,给出了相对论离子动力学方程,并进行了数值模拟。研究发现,散射使光的传播速度减小,系统的矢势和标势增大,由入射和散射光形成的多束相干强耦合激光能使质子加速到5.40GeV的能量,而耦合轴向电场在其中起着关键作用。     

激光变焦扩束光学系统设计

主要介绍了激光变焦扩束系统的设计方法。以高斯光束的准直原理为基础,采用一个倒置的望远系统建立系统物理模型和微分方程,分析得到系统中变倍补偿组件的运动轨迹。然后以二组元变焦系统为例,在理想光学系统的基本目标参数上加入具体的光学参数,并利用软件优化校正像差,设计得到了一种结构紧凑,光束准直性好且成本较为低廉的变焦扩束光学系统。     

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应用电子与多光子集团非线性Compton散射模型,将入射和散射光作为离子的传输机制,研究了Compton散射下多束相干强耦合激光等离子体中离子的运动,给出了相对论离子动力学方程,并进行了数值模拟。研究发现,散射使光的传播速度减小,系统的矢势和标势增大,由入射和散射光形成的多束相干强耦合激光能使质子加速到5.40GeV的能量,而耦合轴向电场在其中起着关键作用。     

The optical Airy transform and its application in generating and controlling the Airy beam

We propose an optical Airy transform in this paper, and obtain the analytical expressions for the Airy transform of fundamental Gaussian beams and finite energy Airy beams. The setup for performing the optical Airy transform is presented. The Airy transform for Gaussian beams and finite energy Airy beams are theoretically calculated and analyzed. Our results show that the Airy beam can be conveniently generated and controlled through the optical Airy transform of the Gaussian beam. The optical Airy transform also can be used to directly modulate the beam parameters of the incident Airy beam, and it can transform the incident Airy beam into the Gaussian beam.     

光致异构聚合物中相互作用光学空间孤子对的垂直光调控

采用数值法研究了在具有光致异构非线性的聚合物中平行传播的光学空间孤子对(信号光)被另一束垂直入射光调控的情况.调节调控光和信号光的初始相位差、调控光入射位置等可以使信号光孤子产生合成、分开等现象，对此给出了物理解释.这种相互作用的空间光孤子被垂直光调控的现象可望应用于光合成、光互联、光波导等方面. 关键词： 光学空间孤子对 相互作用 垂直光调控 光致异构     

利于像差校正的共形整流罩内表面面形设计

共形光学系统中,椭球形等厚度整流罩使入射的平行光线经过整流罩后不再平行,变为发散的光线,进而使系统像差急剧增加,不利于后续像差的校正。通过对等厚度共形整流罩的内表面进行重新设计,打破了共形整流罩的等厚度条件,从而在使用较少校正光学透镜的基础上实现了系统像差的校正。通过分析不同级次非球面分别作为整流罩内表面面形时的像差校正效果,确定了将6次非球面作为共形整流罩内表面面形初始结构。通过对内表面进行优化设计,最终得到整流罩内表面面形。结果表明,该方法有效地减小了共形整流罩引入的像差。最后使用固定校正器对内表面变化后的整流罩进行了像差校正,设计结果表明,内表面的改变有效地减少了光学元件数量,消像差效果良好。     

KBA型X射线显微镜精度控制方法

KBA(改进的KB)型X射线显微镜为掠入射非共轴反射成像系统.前一组反射镜和后一组反射镜之间并不是严格垂直的,给像质分析带来相当大的困难.通常的光学CAD软件难于适应这种光学系统.把共轴球面折射系统的向量公式调整后设计了掠入射非共轴KBA显微镜成像系统程序,并用该程序分析了KBA系统的像差及综合误差.分析结果表明,KBA显微镜系统是大像差系统,当物距公差为-0.4～ 1 mm,掠入射公差在-8"～0,双反射镜夹角公差在-20"～0,弥散斑的变化在允许的范围内.该程序对于分析和研制KBA显微镜系统具有重要意义.     

激光半主动比例导引头光学系统分析与设计

通过对激光半主动比例导引头工作原理和导引头光学系统的特点进行分析,并结合总体设计要求,提出设计一套波段为1.064 m,焦距38 mm, 瞬时视场3,线性区1的激光半主动比例导引头光学系统。用Zernike多项式模拟一个带有较大垂轴球差的波前,叠加在入射波面上,然后对系统进行优化,通过调整加入垂轴球差的大小来控制成像光斑的大小及光斑的均匀性,确定光斑直径为1.5 mm。     

Effects of misalignments in the optical vortex transformation performed by holograms with embedded phase singularity

Spatial characteristics of diffracted beams produced by a “fork” hologram from an incident circular Laguerre-Gaussian beam whose axis differs from the hologram optical axis are studied theoretically. General analytical representations for the complex amplitude distribution of a diffracted beam are derived in terms of superposition of Kummer beams or hypergeometric-Gaussian beams. The diffracted beam structure is determined by combination of the “proper” topological charge m of the incident vortex beam and the topological charge l of the singularity “imparted” by the hologram. Evolution of the diffracted beam structure is studied in detail for several combinations of m and l and for various incident beam displacements with respect to the optical axis of the hologram. Variations of the intensity and phase distribution due to the incident beam misalignment are investigated and possible applications for the purposeful optical vortex beam generation and optical measurements are discussed.     

论平面光栅单色计的光学质量

本文包括下列结果:1.以矢量代数方法一般地讨论了狭缝形状和谱线形状的关系;导出了一般的角色散公式。2.讨论了由于光栅角倍率特点所残留的不对称象差及其校正方法和其他象差之值,并举出一个校正象差的例。3.探讨了完全校正象差的可能有的结构及其特性。 关键词：     

Numerical propagation of partially coherent laser beams through optical systems

The propagation of partially coherent beams through optical systems is computed numerically in one transverse dimension. The optical system is divided into different elementary segments, through which the propagation of light can be calculated by appropriate operators, working on the coherence function or the Wigner distribution function respectively. For the necessary changes between these two functions describing the partially coherent beams, the use of the remarkable z-transform seems to be an advantage. With this algorithm the grid and the resolution in the spatial frequency domain can be arbitrarily chosen in contrast to the usual Fourier transform, the influence of phase aberrations on the focusability of Gauss-Schell model beams is discussed as an application example of the numerical model. With the help of this tool, practical beam guiding systems can be simulated for use with multimode laser radiation.     

Estimation of coupling efficiency of optical fiber by far-field method

Coupling efficiency to a single-mode optical fiber can be estimated with the field amplitudes at far-field of an incident beam and optical fiber mode. We call it the calculation by far-field method (FFM) in this paper. The coupling efficiency by FFM is formulated including effects of optical aberrations, vignetting of the incident beam, and misalignments of the optical fiber such as defocus, lateral displacements, and angle deviation in arrangement of the fiber. As the results, it is shown the coupling efficiency is proportional to the central intensity of the focused spot, i.e., Strehl intensity of a virtual beam determined by the incident beam and mode of the optical fiber. Using the FFM, a typical optics in which a laser beam is coupled to an optical fiber with a lens of finite numerical aperture (NA) is analyzed for several cases of amplitude distributions of the incident light.     

Some effects of optical alignment errors in a differential laser Doppler velocimeter

A formulation has been developed to treat the effects of alignment errors of the optical system used in a differential laser Doppler velocimeter. It is then applied to analyse the properties of output beat signals obtained by the velocimeter. The effects of optical alignment errors on the spectral width and signal-to-noise ratio of the output beat signals and on the probing volume are investigated in some detail. The spectral width is not affected very much by the deviation of the angle between two beams incident on the probing volume, but depends mainly on the number of interference fringes produced in that volume. The signal-to-noise ratio is very sensitive to the displacement of two incident beams on the probing volume and is also affected by the intensity and beam width differences of these two beams. The probing volume is evaluated in the case of two incident beams having different beam widths.