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Free-space azimuthal paraxial wave equation: the azimuthal Bessel–Gauss beam solution

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Abstract

We develop a paraxial wave equation for an azimuthally polarized field propagating in free space. The equation’s beamlike solution is composed of a plane-wave propagation factor multiplied by a Bessel function of the first kind, of order one, and a Gaussian factor, which describe the transverse characteristics of the beam. We compare the propagation characteristics of the azimuthal Bessel–Gauss beam solution with a solution of the more familiar scalar paraxial wave equation, the linearly polarized Bessel–Gauss beam.

© 1994 Optical Society of America

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