Related Experiment Video
Updated: Jun 15, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Composite polarization singularities in superimposed Laguerre-Gaussian beams beyond the paraxial approximation
1Department of Biomedical Engineering, Luzhou Medical College, Luzhou 646000, China. luoluoeryan@126.com
Abstract:
The closed-form expression for the free-space propagation of superimposed Laguerre-Gaussian beams beyond the paraxial approximation is derived, and the composite polarization singularities formed by the transverse and longitudinal electric-field components are studied in detail. It is shown that there exist composite C-points and L-lines in vector nonparaxial fields. By suitably varying a control parameter, such as the off-axis distance, relative phase, or amplitude ratio, the motion, creation, and annihilation of composite C-points may appear, and in the process the sum of topological charge remains unchanged. The shift, deformation, combination, and disappearance of composite L-lines may take place. The topological relationship holds true. The results are compared with the previous work.
Related Concept Videos
Gauss's Law: Planar Symmetry
Potential Due to a Polarized Object
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 in Dielectrics

