Beam duality, with application to generalized Bessel-Gaussian, and Hermite- and Laguerre- Gaussian beams | Zendy

Colin J. R. Sheppard | Zendy

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Beam 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.

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