Inverse Scattering Problems in Optics

Inverse Scattering Problems in Optics PDF

Author: H.P. Baltes

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 324

ISBN-13: 3642814727

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When, in the spring of 1979, H.P. Baltes presented me with the precursor of this vo 1 ume, the book on "Inverse Source Problems in Opti cs", I expressed my gratitude in a short note, 11hich in translation, reads: "Dear Dr. Ba ltes, the mere titl e of your unexpected gift evokes memori es of a period, which, in the terminology of your own contribution, would be described as the Stone Age of the Inverse Problem. Those were pleasant times. Walter Kohn and I lived in a cave by ourselves, drew pictures on the walls, and nobody seemed to care. Now, however, Inversion has become an Industry, which I contemplate with as much bewilderment as a surviving Tasmanian aborigine gazing at a modern oil refinery with its towers, its fl ares, and the confus i ng maze of its tubes." The present volume makes me feel even more aboriginal - impossible for me to fathom its content. What I can point out, however, is one of the forgotten origins of the Inverse Scattering Problem of Quantum Mechanics: Werner Heisenberg's "S-Matrix Theory" of 1943. This grandiose scheme had the purpose of eliminating the notion of the Hamiltonian in favour of the scattering operator. If Successful, it would have done away once and for all with any kind of inverse problem.

Inverse Problems in Scattering and Imaging

Inverse Problems in Scattering and Imaging PDF

Author: Bertero

Publisher: CRC Press

Published: 1992-02-27

Total Pages: 454

ISBN-13: 9780750301435

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Inverse Problems in Scattering and Imaging is a collection of lectures from a NATO Advanced Research Workshop that integrates the expertise of physicists and mathematicians in different areas with a common interest in inverse problems. Covering a range of subjects from new developments on the applied mathematics/mathematical physics side to many areas of application, the book achieves a blend of research, review, and tutorial contributions. It is of interest to researchers in the areas of applied mathematics and mathematical physics as well as those working in areas where inverse problems can be applied.

An Introduction to Inverse Scattering and Inverse Spectral Problems

An Introduction to Inverse Scattering and Inverse Spectral Problems PDF

Author: Khosrow Chadan

Publisher: SIAM

Published: 1997-01-01

Total Pages: 206

ISBN-13: 0898713870

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Here is a clearly written introduction to three central areas of inverse problems: inverse problems in electromagnetic scattering theory, inverse spectral theory, and inverse problems in quantum scattering theory. Inverse problems, one of the most attractive parts of applied mathematics, attempt to obtain information about structures by nondestructive measurements. Based on a series of lectures presented by three of the authors, all experts in the field, the book provides a quick and easy way for readers to become familiar with the area through a survey of recent developments in inverse spectral and inverse scattering problems.

The Inverse Scattering Problem in Geometrical Optics and the Design of Reflectors

The Inverse Scattering Problem in Geometrical Optics and the Design of Reflectors PDF

Author: Joseph B. Keller

Publisher: Forgotten Books

Published: 2017-12-04

Total Pages: 26

ISBN-13: 9780265840450

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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. 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.

Inverse Scattering and Applications

Inverse Scattering and Applications PDF

Author: David H. Sattinger

Publisher: American Mathematical Soc.

Published: 1991

Total Pages: 150

ISBN-13: 0821851292

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This book presents papers given at a Conference on Inverse Scattering on the Line, held in June 1990 at the University of Massachusetts, Amherst. A wide variety of topics in inverse problems were covered: inverse scattering problems on the line; inverse problems in higher dimensions; inverse conductivity problems; and numerical methods. In addition, problems from statistical physics were covered, including monodromy problems, quantum inverse scattering, and the Bethe ansatz. One of the aims of the conference was to bring together researchers in a variety of areas of inverse problems which have seen intensive activity in recent years. scattering

An Introduction To Inverse Problems In Physics

An Introduction To Inverse Problems In Physics PDF

Author: Mohsen Razavy

Publisher: World Scientific

Published: 2020-05-21

Total Pages: 387

ISBN-13: 9811221685

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This book is a compilation of different methods of formulating and solving inverse problems in physics from classical mechanics to the potentials and nucleus-nucleus scattering. Mathematical proofs are omitted since excellent monographs already exist dealing with these aspects of the inverse problems.The emphasis here is on finding numerical solutions to complicated equations. A detailed discussion is presented on the use of continued fractional expansion, its power and its limitation as applied to various physical problems. In particular, the inverse problem for discrete form of the wave equation is given a detailed exposition and applied to atomic and nuclear scattering, in the latter for elastic as well as inelastic collision. This technique is also used for inverse problem of geomagnetic induction and one-dimensional electrical conductivity. Among other topics covered are the inverse problem of torsional vibration, and also a chapter on the determination of the motion of a body with reflecting surface from its reflection coefficient.