具有轨道角动量光束入射下的单球粒子散射研究

根据广义Mie理论,研究了具有轨道角动量拉盖尔-高斯光束（LGB）的空间传输特性以及单粒子散射特性.在单体球粒子对高斯光束散射研究的基础上,分析了在自由空间不同传输距离LGB光束的光强分布情况,在不考虑散射和波束相移关系的情况下,将LGB作为入射高斯光束,通过对波束入射时的散射衰减截面求解得到波束因子,利用矢量球谐函数对入射高斯波束进行展开,从而研究了单球粒子在在轴条件下对具轨道角动量高斯波束入射的散射问题.通过数值计算,讨论了散射强度及角分布在不同波束宽度情况下对其散射特性的影响,并与平面波的情况做了对比.结果表明,当波束束腰半径较小时,束腰半径对衰减率的影响较大,而当束腰半径远大于粒子半径时,接近于平面波的情况. 关键词： 广义Mie理论 轨道角动量 Laguerre-Gauss光束 单球粒子     

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.     

物理光学 光的吸收、透射与散射

O436．2 2005031652 任意形状凸粗糙物体高斯光束相干散射研究=Research on the coherent scattering of Gaussian beam from arbitrari- ly shaped convex object with rough surface[刊,中]／陈辉 (西安电子科技大学理学院．陕西,西安(710071)),吴振森 …∥光学学报．-2005,25(1)．-115-120 研究了任意形状凸粗糙物体对高斯光束的相干散射 特性。由平面波谱展开法推导出粗糙面高斯波束散射场     

两个相邻目标对平面波、高斯波束的光散射

基于等效原理和互易性定理研究了两个靠近目标对平面波、高斯波束的光散射问题,给出了这一复合光散射模型的二阶散射结果。通常一阶散射结果容易求解,但由于耦合效应的复杂性,很难给出二阶散射结果的解析形式。为了解决这一问题,应用互易性定理给出了求解任意相邻介质目标二阶散射场的公式,同时借助等效原理将求解散射场公式中的体积分简化为面积分的形式,从而降低了求解难度。求解了两相邻球形粒子的复合散射场,并将求解结果与应用时域积分方程法求得的结果进行了比较。同时,还讨论了束腰半径、目标位置对散射截面及偏振度的影响。     

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.     

单核细胞对高斯激光波束散射特性理论分析

基于广义米理论(GLMT),利用偏心球粒子模型模拟了单核生物细胞,研究了单核细胞对圆高斯激光光束的散射特性。数值计算了圆高斯光束沿任意方向入射时,不同入射角度、不同束腰半径、不同内核与细胞粒径大小比值等因素对粒子散射强度角分布的影响,并与平面波入射情况进行了比较。     

复杂含核粒子对贝塞尔波束散射特性的影响

基于面积分方程的矩量法及其快速算法研究了复杂含核粒子对任意入射贝塞尔波束的散射特性.将零阶贝塞尔束的矢量解和坐标系旋转理论相结合,推导出任意入射贝塞尔波束电磁场分量的数学表达式.根据等效原理,建立了求解具有任意形状和复杂内部结构含核粒子散射问题的面积分方程.对贝塞尔波束任意入射下一些复杂含核粒子的散射进行了数值模拟,结果表明:贝塞尔波束入射时的微分散射截面要小于平面波入射时的微分散射截面,且随着半锥角的减小而增大;当波束中心的位置远离粒子中心时,微分散射截面会减小;微分散射截面对波束的入射角非常敏感.这为激光对微粒的探测、诊断以及操纵技术提供有益帮助.     

非傍轴径向阵列高斯激光束的传输特性

推导出相干和非相干非傍轴径向阵列高斯激光束的传输公式,并用以研究了径向阵列光束在自由空间的传输特性,重点分析了阵列光束参量对合成光束光强分布的影响。结果表明：阵列半径与束腰宽度之比是一个关键参量,当它固定时,相干和非相干合成光束的光强分布都保持不变,但合成光束的光强分布和远场轴上光强最大值都与合成方式有关。     

非傍轴径向阵列高斯激光束的传输特性

推导出相干和非相干非傍轴径向阵列高斯激光束的传输公式,并用以研究了径向阵列光束在自由空间的传输特性,重点分析了阵列光束参量对合成光束光强分布的影响。结果表明:阵列半径与束腰宽度之比是一个关键参量,当它固定时,相干和非相干合成光束的光强分布都保持不变,但合成光束的光强分布和远场轴上光强最大值都与合成方式有关。     

偏振部分相干激光波束在湍流大气中传输的扩展和漂移(英文)

基于广义Huygens-Fresnel原理,利用Collins公式,讨论了偏振部分相干激光波束在湍流大气中传输的交叉谱密度函数,推导出经过偏振后的高斯-谢尔模型光束在外场不同距离水平传输时,光谱强度、束腰宽度及重心位置漂移的解析表达式.对偏振激光在大气湍流中传输时光束扩展和漂移进行数值仿真,得到相同传输距离下,偏振角、初始束腰及波长取不同值时,激光波束的扩展和漂移的变化情况.分析了相同偏振角度下,不同传输距离对光束扩展和漂移的影响.研究结果表明:大气湍流中偏振激光波束的扩展和漂移依赖于波束的波长、初始光束的偏振角和初始束腰;随着偏振角的变化,偏振部分相干激光波束的扩展和漂移关于45°呈现对称变化,当波束初始束腰小于或等于0.5mm时,大气湍流对波束扩展和漂移的影响明显.     

Gaussian beam scattering from arbitrarily shaped objects with rough surfaces

The scattered field of Gaussian beam scattering from arbitrarily shaped dielectric objects with rough surfaces is investigated for optical and infrared frequencies by using the plane wave spectrum method and the Kirchhoff approximation, and the formulae for the coherent and incoherent scattering cross sections are obtained theoretically based on geometrical optics and tangent plane approximations. The infrared laser scattering cross sections of a rough sphere are calculated at 1.06 μm, and the influence of the beam size is analysed numerically. It is shown that when the beam size is much larger than the size of the object, the results in this paper will be close to those of an incident plane wave.     

Gaussian beam scattering from arbitrarily shaped objects with rough surfaces

Abstract

The scattered field of Gaussian beam scattering from arbitrarily shaped dielectric objects with rough surfaces is investigated for optical and infrared frequencies by using the plane wave spectrum method and the Kirchhoff approximation, and the formulae for the coherent and incoherent scattering cross sections are obtained theoretically based on geometrical optics and tangent plane approximations. The infrared laser scattering cross sections of a rough sphere are calculated at 1.06 μm, and the influence of the beam size is analysed numerically. It is shown that when the beam size is much larger than the size of the object, the results in this paper will be close to those of an incident plane wave.     

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.     

粗糙表面激光散射特性的理论研究

用矢量微扰动方法分析激光束在粗糙表面上散射的分布特性。详细讨论高斯光束的角谱和适用于准直激光束散射问题的波前分割概念认为，当用入射总功率作归一化因子时，准直粗激光束散射可近似地作为平面波处理，而细激光束散射则与平面波存在很大的差异，利用所得结果讨论了一维粗糙表面的激光隐身作用及椭圆偏振光入射时镜反射方向和后向散射场的偏振态。最后介绍两种线偏振光在粗糙表面上散射分布的差异。实验验证了主要结论。     

Diffraction of a Gaussian Beam by a Periodic Screen

Based on the plane wave analysis and the superposition of the plane waves, the diffraction of a Gaussian beam by a periodic screen with a dielectric plate is analyzed. The reflection power coefficient for different parameters of the beam and the screen is given. When the beam waist size is increased the results reaches that of the plane wave. It has been found that the power reflection coefficient is not sensitive to the beam waist size, however, it is sensitive to the period of the grating and polarization angle.     

A finite element approach for scattering from inhomogeneous media with a rough interface

Electromagnetic scattering from an inhomogeneous medium with a one-dimensional rough interface is analysed. The proposed procedure combines the finite element method (FEM), to model the electromagnetic field in the inhomogeneous region, with a perturbative technique to account for the contributions due to the rough interface. Backscattering and bistatic scattering coefficients are computed and plotted for both plane wave and Gaussian beam incident fields in the case of TM_z polarization.     

非傍轴双光束势阱产生的辐射力

分析了两束相对传输的非傍轴高斯光束相干叠加形成的双光束势阱对瑞利粒子产生的辐射力,并作了数值计算,结果表明,与傍轴双光束势阱相比,非傍轴双光束势阱的辐射力有明显的不同,纵向辐射力和横向辐射力都增大,y方向平衡点数目由一个增加到多个,且势阱更深,横向辐射力变化趋势更陡,更有利于微粒的精确定位,与非傍轴单光束势阱相比,势阱更深,所产生的辐射力更大,因而更利于控制瑞利粒子。     

高斯分层介质粗糙面光波透射问题的微扰法研究

运用微扰法研究平面波入射分层介质粗糙面的光波透射问题,推出了不同极化状态的透射光波散射系数公式。采用高斯粗糙面来模拟实际的分层介质粗糙面,结合高斯粗糙面的功率谱导出了平面波入射高斯分层介质粗糙面的透射系数计算公式。通过数值计算得到HH极化透射系数随透射光波散射角变化的曲线,讨论底层介质介电常数、中间介质介电常数和厚度、粗糙面参数及入射光波长对透射系数的影响。数值计算结果表明：底层介质介电常数、中间介质介电常数和厚度、粗糙面参数及入射光波长对透射系数的影响是非常复杂的。     

Scattering of on-axis polarized Gaussian light beam by spheroidal water coating aerosol particle

Small particle light scattering can produce light with polarization characteristics different from those of the incident beam. An analytical solution to the scattering by a spheroid with inclusion for an on-axis polarized Gaussian beam incidence is provided within the generalized Lorenz-Mie theory framework. The shapes of the inclusion can be spherical, confocal spheroid, or non-confocal spheroid. The Muller scattering matrix elements are computed for plane wave incidence or Gaussian light beam incidence. The effect of the size and shape of the inclusion or the coating on the polarized Oaussian light scattering characteristics by a spheroidal water coating aerosol Darticle are commlted and a,nalvzed.