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Diffraction characteristics of the azimuthal Bessel–Gauss beam

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Abstract

We examine the free-space propagation characteristics of an azimuthally polarized, circularly symmetric beam, such as that emitted by a concentric-circle-grating surface-emitting laser. We begin with the appropriate scalar wave equation and then find the azimuthal Bessel–Gauss beam solution, using both a Cartesian decomposition method and an angular spectrum representation. We find a general azimuthal diffraction integral for circularly symmetric disturbances and examine two special cases, a thin lens and a circular aperture; the azimuthally polarized beam remains well behaved in both cases. Plots of radial field profiles and longitudinal beam-waist evolution are presented.

© 1996 Optical Society of America

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