共查询到16条相似文献,搜索用时 109 毫秒
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提出了一种将任意入射波束因子用矢量波函数展开的方法,根据波束在球坐标系中的展开形式,以及球谐矢量函数与非球坐标系的波矢量函数之间的关系,推导出任意入射波束在相应坐标系中的波束因子的理论表述形式.以椭球坐标系为例,介绍了将离轴的入射波束,用椭球矢量波函数展开的波束因子求解方法,此方法还可应用于柱坐标、椭柱坐标系中波束因子的求解,为研究粒子对任意入射波束的散射打下了基础.
关键词:
波束因子
广义米理论
光散射 相似文献
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两个相邻目标对平面波、高斯波束的光散射 总被引:3,自引:0,他引:3
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。 相似文献
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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。 相似文献
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Based on spherical vector wave functions and their coordinate rotation theory,the field of a Gaussian beam in terms of the spherical vector wave functions in an arbitrary unparallel Cartesian coordinate system is expanded.The beam shape coefficient and its convergence property are discussed in detail.Scattering of an arbitrary direction Gaussian beam by multiple homogeneous isotropic spheres is investigated.The effects of beam waist width,sphere separation distance,sphere number,beam centre positioning,and incident angle for a Gaussian beam with two polarization modes incident on various shaped sphere clusters are numerically studied.Moreover,the scattering characteristics of two kinds of shaped red blood cells illuminated by an arbitrary direction incident Gaussian beam with two polarization modes are investigated.Our results are expected to provide useful insights into particle sizing and the measurement of the scattering characteristics of blood corpuscle particles with laser diagnostic techniques. 相似文献
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基于Gyrator变换,推导了四瓣高斯光束场分布的解析表达式,研究了四瓣高斯光束通过Gyrator变换后的光强分布和相位分布.结果表明:在Gyrator变换过程中,四瓣高斯光束能够转换为具有光涡旋的矩形空心光束,在获得矩形空心光束时其四顶角处光束强度最强,而四条边上的光束强度分布几乎是均匀的.对影响矩形空心光束强度和相位分布的光束参数和变换角进行了详细的分析,发现光束阶数不同,产生不同类型的空心光束;Gyrator变换的变换角则影响空心光束能量分布;空心光束亮环的大小由四瓣高斯光束的束腰宽度决定,束腰宽度越大,矩形空心光束的宽度越小. 相似文献
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基于辐射传输理论, 利用蒙特卡罗方法模拟了无限窄(冲击函数)准直光束入射到典型水云以及冰水双层云时的后向散射特性, 进而将得到的冲击响应与高斯光束卷积, 得到高斯光束在云层中传输的多次散射特性. 文中给出了两种波束入射时水云以及冰水双层云的反射函数随径向r和天顶角α的变化关系, 并给出了光强在云层内部的二维分布图. 计算结果表明, 高斯光束入射时, 云层反射函数的特点与无限窄准直光束入射时有较大区别. 因此在利用激光雷达进行云层探测时需要考虑激光的散斑, 文中的方法可以为此提供理论依据. 相似文献
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Omel Mendoza-Yero 《Optics Communications》2007,271(2):517-523
The Gaussian amplitude of a laser beam incident on an optical system affected by coma is expanded until the fourth order. This expansion is included in the Huygens-Fresnel integral calculation to obtain the amplitude and irradiance distribution on the focal plane of an optical system affected by coma. The analytical results obtained here are compared with a previous model of a comatic Gaussian beam. Appropriateness of the analytical model is also validated by the fitting with experimental data. 相似文献
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Polarization singularities in near-field of Gaussian vortex beam diffracted by a circular aperture 下载免费PDF全文
Polarization singularities in the near-field of Gaussian vortex beams diffracted by a circular aperture are studied by a rigorous electromagnetic theory.It is shown that there exist C-points and L-lines,which depend on off-axis displacement parameters along the x and y directions,waist width,wavelength,and topological charge of the diffracted Gaussian vortex beam,as well as on propagation distance.The results are illustrated by numerical calculations. 相似文献