Open AccessBeam duality, with application to generalized Bessel-Gaussian, and Hermite- and Laguerre- Gaussian beams
Author(s) -
Colin J. R. Sheppard
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.17.003690
Subject(s) - laguerre polynomials , hermite polynomials , duality (order theory) , beam (structure) , physics , optics , gauss , dual polyhedron , mathematics , mathematical analysis , geometry , quantum mechanics , pure mathematics
The concept of the dual of a beam is discussed. The duals of Bessel-Gauss beams, elegant Hermite- or Laguerre-Gaussian beams and generalized Hermite- or Laguerre-Gauss beams are described. Duality is considered within the framework of hypergeometric beams in Cartesian and polar coordinates. The connection with the "modified Laguerre-Gauss" beam is discussed.