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Excerpt from The Three-Dimensional Inverse Scattering ProblemThe purpose of this paper is to put together in a concrete form the mathematical theory of an inverse scattering problem which was originally formulated in quantum mechanical terms but which is related to the problem of determining the variation of electron density in an ionized gas such as the earth's ionosphere by means of radio sounding experiments. The theory described here was d...

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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This w...

Excerpt from Reflectionless Transmission Through Dielectrics and Scattering PotentialsFormulas and enable us to determine a 2n-parameter family of functions V(x) which in turn determinase.2n-parameter family of dielectrics through Formula along With and demonstrates that the dielectric media are all transparent in the restricted sense described in the Introduction.About the PublisherForgotten Books publishes hundreds of thousands of rare and c...

Excerpt from Reflection From Inhomogeneous Plane Stratified Media IIIn order to show in detail the exact nature of the small variation approximation we shall demonstrate its application to a very simple problem whose solution is well known. The example we shall use devolves upon the case of two different homogeneous transmission lines joined at the point of dis continuity z c 0, the line in the region z 0 having the constant characteristic imp...

Excerpt from The Inverse Scattering ProblemIt is a customary procedure in mathematical physics to make predic tions about particular physical situations on the basis of a general theory and then to compare those predictions with experimental data. This procedure is, of course, necessary to check the validity of a new theory. But when a physical theory has evoked sufficient confidence because of its continuing success over many years one need n...

Excerpt from Some Remarks Concerning the Bremmer SeriesIt is the purpose of the present remarks to call attention to the existence of these alternative multiply reflected wave series solutions so that any false impression concerning the limitations of this type of solution may be dispelled. Actually, a slight modification of the series will provide a solution which is.About the PublisherForgotten Books publishes hundreds of thousands of rare a...