On a Fredholm Equation in Diffraction Theory (Classic Reprint)

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Excerpt from On a Fredholm Equation in Diffraction TheoryWe 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.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.