Laser beams emitted from concentric-circle-grating, surface-emitting semiconductor lasers are azimuthally polarized and have an electric field amplitude profile that can be represented as a J₁ Bessel function multiplied by a Gaussian function, where the arguments of both of the functions are complex. The detailed propagation formulas for these laser beams and similar azimuthally polarized Laguerre–Gaussian beams through optical systems representable by complex ABCD beam matrices are obtained. As a specific example, azimuthally polarized J₁ Bessel–Gaussian laser beam propagation through a laser amplifier with a radial gain profile is considered.

© 1997 Optical Society of America

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