Open AccessStudy on the propagation properties of Lorentz beam
Author(s) -
Guoquan Zhou
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.3494
Subject(s) - m squared , beam divergence , beam (structure) , beam diameter , beam parameter product , physics , laser beam quality , paraxial approximation , transverse plane , rayleigh length , gaussian beam , lorentz transformation , optics , divergence (linguistics) , classical mechanics , laser , laser beams , linguistics , philosophy , structural engineering , engineering
Based on the second-order moment theory of beam propagationthe properties of Lorentz beam have been investigated. The expressions of the beam waiststhe transverse divergence angle and the beam propagation factor have been presented. The transverse beam waist only depends on the corresponding beam parameter. Howeverthe transverse divergence angle and the beam propagation factor are both determined by the two transverse beam parameters. The curves of the beam propagation factor versus the two transverse beam parameters are also given. The numerical results show that variational laws of the beam propagation factor in the x-and y-directions versus the two transverse beam parameters are apparently differentwhile the variational rule of the integrated beam propagation factor versus the two transverse beam parameters is the composite manifestation of the above cases. In the paraxial casethe beam propagation factor trends to a constant value of 141. With the beam waist being the samethereforethe divergence of Lorentz beam is 1.41 times that of the Gaussian beam in the paraxial case. AccordinglyLorentz beam is an appropriate model to describe certain laser sources with high divergence.