This monograph by two Soviet experts in mathematical physics was a major contribution to inverse scattering theory. The two-part treatment examines the boundary-value problem with and without singularities. 1963 edition.
It is the forces that are sought, and how they vary from point to point. As with so many other physical ideas, the first one we know of to have touched upon the kind of inverse problem discussed in this book was Lord Rayleigh (1877).
[27] Colton, D., and Kirsch, A.: Karp's theorem in acoustic scattering theory. Proc. Amer. Math. Soc. 103,783–788 (1988). [28] Colton, D., and Kirsch, A.: An approximation problem in inverse scattering theory.
H., Foreword) Atkinson D., Johnson P. W., Kok L. P., and De Roo M. (1974): Construction of unitary, analytic scattering amplitudes III. Practical application to scattering, Nucl. Phys. B77, 109–138 (sections X.4, X.6, Foreword) Atkinson ...
The purpose is to determine the potential from what is commonly called the scattering data: (4.1) {6(h),Vk:20}U{')/j >0,o, >0,jI 1,2,...,n} where 6(k) must satisfy, of course, the Levinson theorem (3.76). In order to establish the ...
Inverse Problems in Scattering exposes some of the mathematics which has been developed in attempts to solve the one-dimensional inverse scattering problem.
One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations.
Following Keller [119] we call two problems inverse to each other if the for mulation of each of them requires full or partial knowledge of the other.
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 ...
The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science.