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

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

2007-10-11

arxiv.org/abs/0710.2256v1

Physics

Optics

8 pages and 1 figure

Scientific paper

10.1364/OL.32.003543

A unified description of the free-space cylindrical vector beams is presented, which is an integral transformation solution to the vector Helmholtz equation and the transversality condition. The amplitude 2-form of the angular spectrum involved in this solution can be arbitrarily chosen. When one of the two elements is zero, we arrive at either transverse-electric or transverse-magnetic beam mode. 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 new kinds of vector beam, called the modified-Bessel-Gaussian vector beam.

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