Revealing the propagation dynamic of Laguerre-Gaussian beam with two Bohm-like theories

Fuente: arXiv
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Auteurs principaux: Huang, Peng-Fei, Xiao, Ya, Dong, Shan-Chuan, Gu, Yong-Jian
Format: Preprint
Publié: 2024
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author Huang, Peng-Fei
Xiao, Ya
Dong, Shan-Chuan
Gu, Yong-Jian
author_facet Huang, Peng-Fei
Xiao, Ya
Dong, Shan-Chuan
Gu, Yong-Jian
contents By employing x-Bohm theory and p-Bohm theory, we construct the position and momentum trajectories of single-mode and superposed-mode Laguerre-Gaussian (LG) beams. The dependence of divergence velocity and rotation velocity on the initial position and propagation distance is quantified, indicating that LG beams exhibit subluminal effects, even in free space. Additionally, we clarify the formation of the petal-shaped intensity distribution of the superposed-mode LG beam in terms of motion trajectory, where the particle-like trajectory and wave-like interference are ``simultaneously" observed. Our work provides an intuitive way to visualize the propagation characteristics of LG beams and deepen the comprehension of Bohm-like theory.
format Preprint
id arxiv_https___arxiv_org_abs_2409_15643
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Revealing the propagation dynamic of Laguerre-Gaussian beam with two Bohm-like theories
Huang, Peng-Fei
Xiao, Ya
Dong, Shan-Chuan
Gu, Yong-Jian
Optics
Quantum Physics
By employing x-Bohm theory and p-Bohm theory, we construct the position and momentum trajectories of single-mode and superposed-mode Laguerre-Gaussian (LG) beams. The dependence of divergence velocity and rotation velocity on the initial position and propagation distance is quantified, indicating that LG beams exhibit subluminal effects, even in free space. Additionally, we clarify the formation of the petal-shaped intensity distribution of the superposed-mode LG beam in terms of motion trajectory, where the particle-like trajectory and wave-like interference are ``simultaneously" observed. Our work provides an intuitive way to visualize the propagation characteristics of LG beams and deepen the comprehension of Bohm-like theory.
title Revealing the propagation dynamic of Laguerre-Gaussian beam with two Bohm-like theories
topic Optics
Quantum Physics
url https://arxiv.org/abs/2409.15643