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Synopsis
Excerpt from Diffraction by a Smooth Object
The total field at a point is postulated to be the sum of the fields on all rays which pass through the point. By using this theory we will obtain an explicit ex pression for the field produced at any point when a wave hits a smooth convex opaque object.
The theory is developed for both scalar and vector electromagnetic) fields and for objects of any type acoustically hard or soft, perfect elec tricel conductors, dielectrics). The results depend upon the nature of the object in an essential way. Tb simplify the analysis we will ignore rays which go through the object, thereby restricting our results to opaque objects.
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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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- PublisherForgotten Books
- Publication date2024
- ISBN 10 1334254494
- ISBN 13 9781334254499
- BindingPaperback
- LanguageEnglish
- Number of pages83
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Diffraction by a Smooth Object (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book explores the geometrical theory of diffraction, a new theory of wave propagation that extends geometrical optics to predict the field produced at any point when a wave hits an opaque object of any shape. The theory was developed by the author and J. B. Keller and introduces new kinds of rays, called diffracted rays, in addition to the usual optical ones. Each of these diffracted rays consists of a straight line segment from the source to the body surface, a geodesic arc along the surface, and a straight line segment from the body to the observation point. The theory assigns a field value, which includes a phase and, in the electromagnetic case, a direction or polarization to each point on a ray. The total field at a point is postulated to be the sum of the fields on all rays which pass through the point. Using this theory, the author obtains an explicit expression for the field produced at any point when a wave hits a smooth convex opaque object. Applications of the geometrical theory of diffraction include diffraction by an aperture of any shape in a thin screen, diffraction in waveguides, and other problems. The theory has also been applied to diffraction by rough surfaces and to scattering of acoustic and electromagnetic waves by randomly distributed particles. The book also includes analyzes of diffraction by circular cylinders and spheres, demonstrating how the theory can be used to solve diffraction problems involving objects of special shape. This book is intended for researchers and graduate students in the fields of applied mathematics, physics, and engineering who are interested in the theory of diffraction and its applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781334254499_0
Quantity: Over 20 available
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Diffraction by a Smooth Object Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781334254499
Quantity: 15 available
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Diffraction by a Smooth Object Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781334254499
Quantity: 15 available