Integral transformation solution of free-space cylindrical vector beams and prediction of modified Bessel-Gaussian vector beams

A unified description of free-space cylindrical vector beams is presented that is an integral transformation solution to the vector Helmholtz equation and the transversality condition. In the paraxial condition, this solution not only includes the known J(1) Bessel-Gaussian vector beam and the axisy...

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Bibliographic Details
Published in:Optics letters 2007-12, Vol.32 (24), p.3543-3545
Main Author: LI, Chun-Fang
Format: Article
Language:English
Subjects:
Applied classical electromagnetism
Beam characteristics: profile, intensity, and power
spatial pattern formation
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Laser optical systems: design and operation
Optics
Physics
Wave optics
Wave propagation, transmission and absorption
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Summary:A unified description of free-space cylindrical vector beams is presented that is an integral transformation solution to the vector Helmholtz equation and the transversality condition. In the paraxial condition, this solution not only includes the known J(1) Bessel-Gaussian vector beam and the axisymmetric Laguerre-Gaussian vector beam that were obtained by solving the paraxial wave equations but also predicts two kinds of vector beam, called a modified Bessel-Gaussian vector beam.
ISSN:0146-9592
1539-4794
DOI:10.1364/ol.32.003543