Author : Joseph Bishop Keller
Publisher :
Page : 62 pages
File Size : 46,63 MB
Release : 2015-08-04
Category : Science
ISBN : 9781332185801
Book Description
Excerpt from Reflection and Transmission of Electromagnetic Waves by Thin Curved Shells In this paper the general problem of scattering of an arbitrary incident electromagnetic field by a conducting or non-conducting obstacle is investigated. The partial differential equations and boundary conditions satisfied by the field are transformed into a pair of inhomogeneous linear integro-differential equations for two vector functions. For an obstacle which is a thin shell of constant thickness h, a formal procedure for obtaining a solution of these equations as power series in h is given. The lowest order term in this solution is the incident field. An explicit expression for the next term is found in the form of a surface integral. This integral is evaluated approximately by an extension to surface integrals of the method of stationary phase. The scattered field, given by the terms so obtained, is that which is reflected, diffracted or transmitted by a thin shell. The physical properties of this solution are examined in detail, and satisfactory agreement is found with many results previously obtained by other methods. 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.