Abstract
Paraxial diffraction of monochromatic Gaussian beams by arbitrarily shaped polygonal apertures is analytically explored within the recently proposed paraxial boundary diffraction wave theory framework [J. Opt. Soc. Am. A 36, 1048 (2019)10.1364/JOSAA.36.001048)]. Surprisingly enough, exact closed-form expressions of the diffracted wavefield can be obtained by using only elementary calculus and Euclidean geometry. An interesting connection between paraxial optics and probability theory is also outlined.
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