Related Experiment Video
Updated: Jan 14, 2026

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
Published on: February 23, 2018
The analytical vectorial structure of a nonparaxial Gaussian beam close to the source
1School of sciences, Zhejiang Forestry University, Lin'an 311300, China. zhouguoquan178@sohu.com
Abstract:
The description of a nonparaxial Gaussian beam is made directly staring with the Maxwell's equations. The vector angular spectrum method is used to resolve the Maxwell's equations. As the vector angular spectrum can be decomposed into the two terms in the frequency domain, the nonparaxial Gaussian beam is also expressed as a sum of two terms. One term is the electric field transverse to the propagation axis, and the other term is the associated magnetic field transverse to the propagation axis. By means of mathematical techniques, the analytical expressions for the two terms in the source region have been derived without any approximation. The influence of the evanescent plane wave on the vectorial structure is also investigated. The results are analyzed with numerical example. This research is useful to the optical trapping and the optical manipulation.
Related Concept Videos
Gauss's Law
Gauss's Law: Cylindrical Symmetry
Gauss's Law: Spherical Symmetry
Plane Electromagnetic Waves I
The EM field is assumed to be a...
Gauss's Law: Planar Symmetry
Gauss's Law: Problem-Solving

