Open AccessAnalysis of Singularities and Internal Dynamics of Electron Beams
Author(s) -
G Jimenez-Trejo,
A. Kunold
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1540/1/012027
Subject(s) - gravitational singularity , physics , gaussian , momentum (technical analysis) , classical mechanics , angular momentum , rotation (mathematics) , kinetic energy , statistical physics , dynamics (music) , work (physics) , electron , phase (matter) , mathematics , quantum mechanics , geometry , finance , acoustics , economics
In this work we present an analysis of phase singularities in Laguerre-Gaussian beams. The cases to be analyzed are static and dynamic singularities. We consider the composition of canonical and kinetic currents around the singularities and velocities on each momentum state. We compare the behavior of time-dependent and stationary systems. We obtain the topological charge numbers that characterize the rotation of currents around the singularities. Finally, we present some analytical and numerical results to illustrate our model.