Li Zheng-Jun, Wu Zhen-Sen, Li Hai-Ying
School of Science, Xidian University, Xi'an 710071, China.
J Opt Soc Am A Opt Image Sci Vis. 2011 Feb 1;28(2):118-25. doi: 10.1364/JOSAA.28.000118.
Based on the generalized multiparticle Mie theory and the Fourier transformation approach, electromagnetic (EM) scattering of two interacting homogeneous uniaxial anisotropic spheres with parallel primary optical axes is investigated. By introducing the Fourier transformation, the EM fields in the uniaxial anisotropic spheres are expanded in terms of the spherical vector wave functions. The interactive scattering coefficients and the expansion coefficients of the internal fields are derived through the continuous boundary conditions on which the interaction of the bispheres is considered. Some selected calculations on the effects of the size parameter, the uniaxial anisotropic absorbing dielectric, and the sphere separation distance are described. The backward radar cross section of two uniaxial anisotropic spheres with a complex permittivity tensor changing with the sphere separation distance is numerically studied. The authors are hopeful that the work in this paper will help provide an effective calibration for further research on the scattering characteristic of an aggregate of anisotropic spheres or other shaped anisotropic particles.
基于广义多粒子米氏理论和傅里叶变换方法，研究了两个具有平行主光轴的相互作用均匀单轴各向异性球体的电磁（EM）散射。通过引入傅里叶变换，单轴各向异性球体内的电磁场用球矢量波函数展开。通过考虑双球体相互作用的连续边界条件，推导了内部场的相互作用散射系数和展开系数。描述了关于尺寸参数、单轴各向异性吸收介质以及球体间距影响的一些选定计算。数值研究了两个复介电常数张量随球体间距变化的单轴各向异性球体的后向雷达散射截面。作者希望本文的工作将有助于为进一步研究各向异性球体聚集体或其他形状的各向异性粒子的散射特性提供有效的校准。
