An Application Of Inversion To Wave Propagation

An Application of Inversion to Wave Propagation

An Application of Inversion to Wave Propagation (Classic Reprint)

Excerpt from An Application of Inversion to Wave Propagation In the case of an inhomogeneous non-standard atmosphere the problem of propagation offers great difficulties. Attempts have been made to approximate actual atmospheres, and the resulting problems have been solved, also approximately. One such method that carried out by W. H. Furry approximates some possible atmospheric condition by two layers, each with a constant refractive index. The method is theoret ically suitable for any number of layers. In this study the layers are plans, and.in order to obtain results applicable to a spherical earth surrounded.by layers in the form of spherical shells, an earth flatten ing factor is used. This is, of course, a further approximation. Even the approximate solutions, for limited cases, have led to immense amounts of calculation in.which.progress has been slow. The present paper represents an attempt to deal with the prob lem of propogation in a.special case of an inhomogeneous atmosphere so as to obtain an exact solution. The problem is the following: We con sider a spherical earth, which is finitely conducting and within.which the index of refraction is constant, surrounded by a layer of finite depth in which the index of refraction varies inversely as the square of the distance from the earth's center. Outside this layer is an infinite layer in which the refractive index is constant. A.ecures of radiation is situated in the finite layer. We are to find the electromagnetic field at any point. 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.

Wave Propagation in Materials for Modern Applications

In the recent decades, there has been a growing interest in micro- and nanotechnology. The advances in nanotechnology give rise to new applications and new types of materials with unique electromagnetic and mechanical properties. This book is devoted to the modern methods in electrodynamics and acoustics, which have been developed to describe wave propagation in these modern materials and nanodevices. The book consists of original works of leading scientists in the field of wave propagation who produced new theoretical and experimental methods in the research field and obtained new and important results. The first part of the book consists of chapters with general mathematical methods and approaches to the problem of wave propagation. A special attention is attracted to the advanced numerical methods fruitfully applied in the field of wave propagation. The second part of the book is devoted to the problems of wave propagation in newly developed metamaterials, micro- and nanostructures and porous media. In this part the interested reader will find important and fundamental results on electromagnetic wave propagation in media with negative refraction index and electromagnetic imaging in devices based on the materials. The third part of the book is devoted to the problems of wave propagation in elastic and piezoelectric media. In the fourth part, the works on the problems of wave propagation in plasma are collected. The fifth, sixth and seventh parts are devoted to the problems of wave propagation in media with chemical reactions, in nonlinear and disperse media, respectively. And finally, in the eighth part of the book some experimental methods in wave propagations are considered. It is necessary to emphasize that this book is not a textbook. It is important that the results combined in it are taken “from the desks of researchers“. Therefore, I am sure that in this book the interested and actively working readers (scientists, engineers and students) will find many interesting results and new ideas.