Wu Zhen-Sen, Yuan Qiong-Kun, Peng Yong, Li Zheng-Jun
School of Sciences, Xidian University, Xi'an Shaanxi, China.
J Opt Soc Am A Opt Image Sci Vis. 2009 Aug;26(8):1778-87. doi: 10.1364/josaa.26.001778.
Scattering of an on-axis Gaussian beam by a uniaxial anisotropic sphere is studied. The incident on-axis Gaussian beam is expanded in terms of spherical vector wave functions, and the beam shape coefficients are obtained by applying the local approximation. The internal fields of a uniaxial anisotropic sphere are proposed in the integrating form of the spherical vector wave functions by introducing the Fourier transform. Utilizing the continuous tangential boundary conditions, both the scattered and the internal field coefficients are derived analytically. Numerical calculations are presented. The effects of the beam width, beam waist center positioning, and anisotropy on scattering properties are analyzed. The internal and near-surface field distributions are also discussed, and the two eigenmodes are characterized. The continuity on the surface of a uniaxial anisotropic sphere is well confirmed.
研究了单轴各向异性球体对轴上高斯光束的散射。将入射轴上高斯光束用球矢量波函数展开，并通过应用局部近似得到光束形状系数。通过引入傅里叶变换，以球矢量波函数的积分形式给出了单轴各向异性球体的内部场。利用连续切向边界条件，解析推导了散射场系数和内部场系数。给出了数值计算结果。分析了光束宽度、束腰中心位置和各向异性对散射特性的影响。还讨论了内部场和近表面场分布，并对两种本征模进行了表征。单轴各向异性球体表面的连续性得到了很好的证实。
