Open AccessComparative studies of paraxial and nonparaxial vectorial elegant Laguerre-Gaussian beams
Author(s) -
Zhangrong Mei,
Juguan Gu
Publication year - 2009
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.17.014865
Subject(s) - paraxial approximation , physics , laguerre polynomials , optics , gaussian , gaussian beam , light beam , beam (structure) , hermite polynomials , optical tweezers , classical mechanics , quantum mechanics
Analytical paraxial and nonparaxial propagation expressions for vectorial elegant Laguerre-Gaussian (eLG) beam together with its even and odd modes are introduced by use of the vectorial Rayleigh-Sommerfeld formulas and the relations between eLG and elegant Hermite-Gaussian (eHG) modes. The propagation features of vectorial eLG beams are studied and analyzed comparatively in the paraxial and nonparaxial regimes with vivid illustration. It is shown that the propagation behavior of nonparaxial vectorial eLG beams is notably different from that of paraxial cases.