An analytic formula for the light field amplitude (and therefore also intensity) behind a circular aperture illuminated by spherical or plane waves in the Fresnel limit is given, and the essential difference between Fresnel diffraction and Fraunhofer diffraction is discussed. #1998 Optical Society of America [S0740-3232(98)00403-7] OCIS codes: 050.1940, 260.3160.
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