Publisher's Synopsis
Excerpt from On a Fredholm Equation in Diffraction Theory
We consider here the problem of the diffraction of a plane scalar wave normally incident on a plane screen with a circular aperture. Let u be the solution of Au K2u O, which represents the diffracted wave, and let p, 9 be polar coordinates on the screen such that p 0 represents the center of the aperture. We assume that on the screen u 0. Let the radius of the aperture be a and let Q (p) be the value of u in the aperture, 0 5 p 5 a. Bomkamp [1] using the Levine and Schwinger [2] variational method, derived the following result.
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