Abstract

We describe the azimuthally polarized radiation field surface emitted by a shallow, concentric-circle grating located at the film–cover interface of a step-index, three-layer optical waveguide. We employ the field expansion boundary perturbation method to obtain an integral expression, correct to first order, for the radiation field produced when the surface perturbation scatters a transverse-electric, circularly symmetric, azimuthally polarized guided wave. We apply the method of stationary phase to the radiation integral to generate an algebraic expression for the far-field radiation. Plots of the radiation field are shown for waveguides with annular and full (extending from the origin) sets of concentric-circular gratings that scatter incoming, outgoing, and standing circular guided waves.

© 1995 Optical Society of America

Lasing behavior of circular grating surface-emitting semiconductor lasers

Rebecca H. Jordan, Dennis G. Hall, Oliver King, Gary Wicks, and Stephen Rishton
J. Opt. Soc. Am. B 14(2) 449-453 (1997)

Diffraction characteristics of the azimuthal Bessel–Gauss beam

Pamela L. Greene and Dennis G. Hall
J. Opt. Soc. Am. A 13(5) 962-966 (1996)

Concentric-circle-grating, surface-emitting laser beam propagation in complex optical systems

Anthony A. Tovar and Glen H. Clark
J. Opt. Soc. Am. A 14(12) 3333-3340 (1997)

Field analysis of two-dimensional integrated optical gratings

P-P. Borsboom and H. J. Frankena
J. Opt. Soc. Am. A 12(5) 1134-1141 (1995)

Properties and diffraction of vector Bessel–Gauss beams

Pamela L. Greene and Dennis G. Hall
J. Opt. Soc. Am. A 15(12) 3020-3027 (1998)