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Higher Order Approximations in Multiple Scattering: I. Two-Dimensional Scalar Case; II. Three-Dimensional Scalar Case (Classic Reprint) - Softcover

 
9781333401856: Higher Order Approximations in Multiple Scattering: I. Two-Dimensional Scalar Case; II. Three-Dimensional Scalar Case (Classic Reprint)

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Excerpt from Higher Order Approximations in Multiple Scattering: I. Two-Dimensional Scalar Case; II. Three-Dimensional Scalar Case

I. A formula is derived which expresses the perturbed scattering amplitudes of a combination of two arbitrary cylinders as a function of the unperturbed scattering amplitudes of the in dividual cylinders. The formula is valid when the spacing of the scatterers is large compared to their dimensions. It ih volves derivatives of the scattering amplitudes with respect to the angles of incidence and of 3bversation. Interaction terms of degrees 2,d and d' /2 are taken into account, where d is the spacing. Verification is obtained in a special case. The result is employed to calculate the total scattering cross section.

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This 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.

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  • VerlagForgotten Books
  • Erscheinungsdatum2018
  • ISBN 10 133340185X
  • ISBN 13 9781333401856
  • EinbandTapa blanda
  • Anzahl der Seiten58

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Norman Zitron
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ISBN 10: 133340185X ISBN 13: 9781333401856
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Norman Zitron, Samuel N. Karp
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Paperback. Zustand: New. Print on Demand. This book presents a groundbreaking formula that calculates the perturbed scattering amplitudes of a combination of two arbitrary cylinders as a function of the unperturbed scattering amplitudes of the individual cylinders. The result is valid for large spacings of the scatterers compared to their dimensions and involves derivatives of the scattering amplitudes with respect to the angles of incidence and of observation. Interaction terms up to the second order are taken into account. This significantly extends the ability of the scientific community to precisely describe and predict the effects of multiple scattering, and will enable engineers, physicists, and applied mathematicians to refine and expand their study of multiple scattering of plane scalar waves. Forgotten Books publishes hundreds of thousands of rare and classic books. This 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. The digital edition of all books may be viewed on our website before purchase. print-on-demand item. Bestandsnummer des Verkäufers 9781333401856_0

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Norman Zitron
Verlag: Forgotten Books, 2018
ISBN 10: 133340185X ISBN 13: 9781333401856
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LX-9781333401856

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