在轴高斯波束入射无限长多层圆柱散射的德拜级数解

不均匀柱形粒子的光散射特性研究对复杂结构粒子参量的反演具有重要意义。基于德拜理论,对在轴高斯波束垂直入射无限长多层圆柱的散射特性进行了讨论。获得了散射系数的德拜级数展开式;并利用该公式分别计算了均匀和双层圆柱的总散射强度角分布,德拜级数单阶散射强度角分布;总散射强度结果与广义米氏理论(GLMT)进行了比较,两者吻合很好。分析表明圆柱散射强度不同散射角区间的值来自德拜级数不同阶的散射强度贡献;双层圆柱各层半径和折射率的值对德拜级数二阶散射强度角分布中峰值的出现起决定作用。当双层圆柱的外层较薄时,在120°~150°之间会出现两个明显峰值,即出现双重一阶彩虹峰值;反之,当外层厚度大于内层时,只有一个峰值存在。     

离轴多层球对高斯波束的光散射

根据广义米氏理论，将入射的高斯波束按矢量球谐函数展开，获得了波束因子（展开系数）ｇｍｎ，ＴＭ和ｇｍｎ，ＴＥ的一般表达式。应用ｇｍｎ的局域近结果和散射系数ａｎｍ和ｂｎｍ的迭代公式与算法，研究了多层有耗介质球的光散射。讨论了波束宽度与球形粒子的尺寸和位置对散射系数和散射强度角分布的影响。     

离心球对高斯波束的光散射及应用

基于广义米氏理论研究了在轴离心球对高斯波束光散射特性.入射高斯波束的波束因子用积分区域近似法计算,散射场的展开系数由矢量球面波函数的加法定理并求解边界条件得到.以离心球为模型研究了单核生物细胞对高斯波束的散射特性并给出了相关数值模拟,讨论了离心距、波束的束腰半径和核的大小对散射强度角分布和散射、消光系数的影响.     

均匀球扭矩德拜级数分析

基于会聚光束所产生的扭矩来实现对小粒子的操纵已在物理学、生物学等领域得到了广泛的应用。为了分离出单个散射过程对扭矩的贡献,给出扭矩物理机理的解释,本文引入德拜级数分析了高斯波束对均匀球粒子所产生的扭矩。计算表明,当德拜项P从1取到一个足够大的值后,德拜级数计算结果与广义米氏理论结果吻合。文中重点分析了单阶P散射过程对横向扭矩的贡献,结果表明：当线极化光束入射时,P=1～5散射过程都可以产生横向扭矩,但扭矩的方向不同;当圆极化光束入射时,P=一1和0对应的扭矩远大于P=1～4对应的扭矩,且P=0过程产生与其他P过程相反方向的扭矩。     

梯度折射率球对在轴高斯波束散射的几何光学近似

基于梯度折射率(GRIN)球对平面波前向散射的几何光学近似(GOA),推导出GRIN球对在轴高斯波束散射的GOA.详细推导高斯波束在GRIN球中的散射角和相位公式,给出了算法实现步骤.在此基础上,利用扩展后的GOA计算了粒子的散射强度分布,并与广义洛伦兹一米理论(GLMT)的计算结果进行比较;由于表面波的影响,当波束的束腰半径大于等于粒子半径时散射强度分布与GLMT计算所得的结果相比存在误差.比较结果表明扩展后的GOA方法适用于束腰小于粒子半径的情况.对比GOA方法和GLMT的计算速度,结果表明GOA方法具有较高的运算速度.     

均匀球扭矩德拜级数分析(英文)

基于会聚光束所产生的扭矩来实现对小粒子的操纵已在物理学、生物学等领域得到了广泛的应用。为了分离出单个散射过程对扭矩的贡献,给出扭矩物理机理的解释,本文引入德拜级数分析了高斯波束对均匀球粒子所产生的扭矩。计算表明,当德拜项p从1取到一个足够大的值后,德拜级数计算结果与广义米氏理论结果吻合。文中重点分析了单阶p散射过程对横向扭矩的贡献,结果表明:当线极化光束入射时,p=1～5散射过程都可以产生横向扭矩,但扭矩的方向不同;当圆极化光束入射时,p=-1和0对应的扭矩远大于p=1～4对应的扭矩,且p=0过程产生与其他p过程相反方向的扭矩。     

大粒子对高斯波束散射的数值模拟

基于广义米氏理论，精确的求解了球形粒子对高斯波束和平面波的散射，采用Matlab编程， 改进了计算方法，所能够计算的粒子的尺寸参数已突破80000. 给出了平面波与高斯波入射 时，均匀粒子以及镀层粒子的散射分布，比较了吸收粒子和非吸收粒子散射分布. 关键词： 广义米氏理论 高斯波束 光散射 波束因子     

离轴球形粒子对高斯波束的散射光通量的计算

利用矢量球谐函数展开的方法,研究了离轴球形粒子对椭圆高斯波束的散射。根据其远区散射场的形式,得出了归一化散射场的斯托克斯参量(散射强度)与颗粒直径、折射率以及散射角的关系。建立了计算离轴球形粒子对高斯波束散射通量的解析模型,计算了散射光在任意散射方向上的光通量,得到了前向任意立体角内散射通量的计算公式,为激光散射探测提供了理论依据。     

高斯波束入射下串粒子的散射问题

根据广义米理论，将入射高斯波束利用矢量球谐函数展开，研究了串粒子在轴条件下波束入 射的电磁（光）散射.讨论了波束宽度等因素对其散射特性的影响并与平面波入射的结果进 行了比较. 关键词： 高斯波束 广义米理论 散射     

Debye Series of Scattering by a Multi-Layered Cylinder in an Off-Axis 2D Gaussian Beam

The Debye series of light scattering by an infinite multi-layered cylinder in an off-axis 21） Gaussian beam is studied. A simplified but rigorous iterative formula for scattering coefficients is presented. The numerical calculations of scattering intensity by a cylinder in on-axis and off-axis beams are developed. It is indicated that the results of Debye series reach an agreement with those of generalized Lorenz-Mie theory and the off-axis distances vary the results to a great extent. The Debye series components of a two-layered cylinder are further discussed. The relations between them with rainbow phenomena are analysed.     

Scattering of a Gaussian Beam by Stepped Index Luneberg Lens

The scattering and focusing characteristics of a Gaussian beam with phase distribution is studied by a stepped index Luneberg lens. A model experiment was performed using a six-layer spherical lens. Two kinds of beams, that is, broad and narrow beam are examined for the incident Gaussian beam. We find that focusing effect of a narrow beam is wholly lower than that of a broad beam. The focal point is also shifted toward outer of sphere because of phase lag for the beam source. The spot size equals almost the wavelength for the various beam parameters.     

Scattering of Cluster Spheres Located on Axis by a Gaussian Beam in Millimeter Waves

Multi-spheres scattering has been fully discussed, but almost all kinds of these researches are in plane wave. The special case of an incident shaped beam is introduced in this paper. While some numerical results for cluster spheres illuminated on the axis of a shaped beam in millimeter waves are presented. Finally, results of numerical computations illuminated by a shape beam in different beam waist radius are compared with those for a plane wave illumination.     

Rainbow Scattering by an Inhomogeneous Cylinder with an Off-Axis Gaussian Beam Incidence at Normal

The problem of an off-axis Gaussian beam incident perpendicular on an infinitely long multi-layered cylinder is investigated. The efficient and accurate recursive algorithm for computing the scattering field is discussed. The stability of the numerical scheme allows us to extend the feasible range of computations, both in size parameter and in number of layers for a given size. Particular attention is paid to rainbow scattering of homogeneous and inhomogeneous fibers.     

Scattering by large bubbles: Comparisons between geometrical-optics theory and Debye series

The scattering patterns and optical properties of large spherical bubbles in water are calculated by both Geometrical-optics theory and Debye-series expansion of the Mie amplitudes. In the Geometrical-optics calculations, the wave-front spreading factor and phase information are all taken into consideration. A detailed comparison between the two methods is presented. It is found that scattering patterns calculated from the Geometrical-optics approach agree reasonably with those obtained by Debye series when the size parameter is larger than approximately 400. In the case of scattering properties, the Geometrical-optics method can produce reliable results with the Debye expansion for size parameters larger than approximately 50. The Geometrical-optics results without the phase interferences are also reliable, but it cannot display the oscillations and the ripple structure as a function of size parameter.     

高斯光束对标准硅球直径测量的影响分析

针对高精度硅球直径测量系统的特点,分析平面波反射光的多光束干涉和双光束干涉,以及正入射时高斯光束反射光中心的多光束干涉和双光束干涉,对不同条件下的高斯光束反射光中心的干涉光强进行了数值模拟.对采用五步相移算法时高斯多光束干涉的影响进行了研究,给出了特定参数条件下不同束腰ω0和传播距离z时的最大相位误差,当ω0=5 mm,z=2000 mm时的最大相位误差达0.08%.     

Calculations of Infrared Laser Beam Scattering from Rough Dielectric Objects

The coherent and incoherent scattering cross sections of Infrared Laser Gaussian beam scattering from arbitrarily shaped convex dielectric objects with rough surfaces are investigated by using plane wave spectrum method and physical optics approximation. In the paper, the infrared laser scattering cross sections of rough sphere are calculated at 10.6 m , and the influence of the beam size, permittivity, and polarization as well as roughness parameters is analyzed numerically. When the beam size is much larger than the size of object, the results in the paper can reduce to those of an incident plane wave. On the other hand, for the case of roughness statistical parameter close to zero, only the forward scattering has a parent difference compared with the result of gaussian beam scattering from smooth sphere.