Far Field Amplitudes and Inverse Diffraction Theory S N Karp

ISBN: 9781332126965

Published: September 27th 2015

Paperback

26 pages


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Far Field Amplitudes and Inverse Diffraction Theory  by  S N Karp

Far Field Amplitudes and Inverse Diffraction Theory by S N Karp
September 27th 2015 | Paperback | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 26 pages | ISBN: 9781332126965 | 9.74 Mb

Excerpt from Far Field Amplitudes and Inverse Diffraction TheoryIn electromagnetic and acoustic diffraction problems the behavior of the plane wave far field scattering amplitude is of crucial importance, both theoretically and practically. In theMoreExcerpt from Far Field Amplitudes and Inverse Diffraction TheoryIn electromagnetic and acoustic diffraction problems the behavior of the plane wave far field scattering amplitude is of crucial importance, both theoretically and practically.

In the present paper we present some new properties of this function for plane wave excitation, in the case of two dimensional scattering and with special reference to the inverse diffraction problem.The function in question, which will be defined analytically below, is a continuous analogue of a scattering matrix. For a given scatterer and frequency, it depends on two variables, the angle of incidence 0 of the plane wave, and the angle of observation 0 of the far diffracted field at infinity.

We call it f(0, 0). In the first part of the analysis, section 3 we consider determinants formed from the values of this f-unction. We deduce necessary and sufficient geometrical conditions (as to the geometry of the scatterer) for the vanishing of such determinants, under specific hypotheses as to the boundary conditions being fulfilled.

These conditions show that for an acoustically soft obstacle no third order determinant formed by using three different angles can vanish, and we conjecture the same result for all odd order determinants. Even order determinants can vanish.Such an amplitude arises when the scatterer is a circle, as is well known. We show that this is the only possible cause.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.

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