The Fraunhofer diffraction pattern from hole-coupled and nonhole-coupled waveguides is obtained in analytical form. Nonlinear regression is used to fit a Gaussian beam to the far field pattern, and the effective beam waist is computed and compared to previous measurements. The ratio of the effective beam waist and the output aperture radius is found to depend on the ratio of the aperture and waveguide diameters. The percentage of power contained in nonzero diffraction orders is computed.
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Bennett et al. (1989) studied this question.
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