Open AccessRectangular Hermite non-uniformly correlated beams and its propagation properties
Author(s) -
Jinlong Yu,
Yangjian Cai,
Greg Gbur
Publication year - 2018
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.26.027894
Subject(s) - optics , physics , transverse plane , coherence (philosophical gambling strategy) , position (finance) , beam (structure) , symmetry (geometry) , degree of coherence , focus (optics) , hermite polynomials , range (aeronautics) , geometry , mathematics , materials science , quantum mechanics , structural engineering , finance , engineering , economics , composite material
We introduce a new class of non-uniformly correlated beams that are called rectangular Hermite non-uniformly correlated (RHNUC) beams, which possess rectangular symmetry in their degree of coherence. It is shown that, in free space and in turbulence, these beams possess self-focusing properties and that the position of the focus can be adjusted in 3-D space by manipulating the correlation properties of the source. Furthermore, it is demonstrated that, by choosing different mode orders and correlation lengths along two transverse directions, one creates astigmatic beams that can be designed to have a high and near-constant intensity over an extended propagation range.