Related Experiment Video
Updated: Jun 21, 2026

In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation
Published on: March 2, 2021
Internal and external electromagnetic fields for on-axis Gaussian beam scattering from a uniaxial anisotropic sphere
Zhen-Sen Wu1, Qiong-Kun Yuan, Yong Peng
1School of Sciences, Xidian University, Xi'an Shaanxi, China.
Abstract:
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.
Related Concept Videos
Gauss's Law: Spherical Symmetry
Electric Field of a Non Uniformly Charged Sphere
Consider a non-uniformly charged sphere, for which the density of charge depends only on the distance from a point in space and not on the direction. Such a sphere has a spherically symmetrical charge distribution. Here, the electric...
Plane Electromagnetic Waves I
The EM field is assumed to be a...
Gauss's Law: Problem-Solving
Gauss's Law
Gauss's Law: Cylindrical Symmetry

