Excerpt from The Inverse Scattering Problem in Geometrical Optics and the Design of Reflectors
In Fig. 3 this reflector is drawn, using (9) and (10) with the upper sign. Equation (1) can also be used to solve the direct problem of scattering.
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Excerpt from The Inverse Scattering Problem in Geometrical Optics and the Design of Reflectors: January, 1958
In Fig. 3 this reflector is drawn, using (9) and (10) with the upper sign. Equation (1) can also be used to solve the direct problem of scattering.
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Excerpt from The Inverse Scattering Problem in Geometrical Optics and the Design of Reflectors: January, 1958
1. Introduction
When radiation of any type is incident upon an object some of the radiation is scattered in all directions by the object. The direct problem of the theory of scattering is that of determining the intensity of the radiation scattered in each direction when the properties of the incident radiation as well as those of the object are known. The inverse scattering problem is that of determining the properties of the scattering object when the incident radiation and the intensity of the radiation scattered in each direction are known. This latter problem has been studied extensively in atomic and nuclear physics by the methods of quantum mechanics and, to some extent, by classical mechanics. The classical mechanical solution is also applicable to the scattering of light (or other radiation obeying the laws of geometrical optics) by a region in which the index of refraction varies in any continuous spherically symmetric manner. We now propose to consider the inverse problem in geometrical optics when the scatterer is an opaque object, such as a piece of metal, with a definite boundary. We will call an object of this type a reflector or mirror.
However the reflector may be placed so that either its concave or convex side is exposed to the incident radiation. When the incident radiation is a cylindrical wave a one parameter family of different reflectors is found.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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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Paperback. Zustand: New. Print on Demand. This book approaches the inverse scattering problem, a subject that has been studied extensively in atomic and nuclear physics but, to a lesser extent, in geometrical optics, from an innovative angle. The author's method utilizes explicit formulas for cylindrical and rotationally symmetric objects. They consider plane, cylindrical and spherical incident waves, as well as the general three dimensional object. Significantly, the author provides concrete results in terms of the differential scattering cross section. Overall, this book breaks new ground in inverse scattering problem methodology for reflector design and other pertinent 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. Bestandsnummer des Verkäufers 9781332145232_0
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