Publisher's Synopsis
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.
