Asymptotic representation of the boundary diffraction wave for a Gaussian beam incident on a circular aperture
- 1 November 1980
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America
- Vol. 70 (11) , 1323-1328
- https://doi.org/10.1364/josa.70.001323
Abstract
The diffraction of a Gaussian beam normally incident on a circular aperture is investigated by using the boundary-diffraction-wave theory. With the help of the steepest-descent method, an asymptotic representation of the boundary diffraction wave is obtained. The diffracted field, which is the sum of the geometrical-optics component and the diffraction component, is shown to be continuous at the shadow boundary. The diffraction coefficient is compared with that used in Keller’s geometrical theory of diffraction for a plane wave. The error of the asymptotic approximation is also estimated.Keywords
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