Reflection and Transmission by a Class of Curved Dielectric Layers (Classic Reprint) - Softcover

Karp, Samuel N.

Softcover

ISBN 10: 1332093159 ISBN 13: 9781332093151

Verlag: Forgotten Books, 2019

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Reseña del editor

Excerpt from Reflection and Transmission by a Class of Curved Dielectric Layers

Notice that in (h) the function F is an arbitrary function of its arguments.

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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.

Reseña del editor

Excerpt from Reflection and Transmission by a Class of Curved Dielectric Layers

The present paper is concerned with the analysis of the reflection and transmission properties of a special class of curved slabs of material. The dielectric constant is space-dependent in a special way. The purpose of the analysis is to examine the since dependence of the reflected and transmitted waves. We observe that the space dependence of the reflected and transmitted waves due to a plane slab, whose index varies in the direction perpendicular to a face, is very simple and well knownj while the dependence on frequency, slab thickness and slab material is elementary only for special casrs-, si:ch as the case of a constant index of refraction -.-i, The principal result of our analysis, which is stated in the abstractexpresses an analogy between the curved slab we treat and plane slab. For the class of parabolic slabs which we consider, the space dependence of the rigorous solution is particularly simple, while the dependence on the frequency, material and tMckness is not easily analyzable except in special cases: no such analysis is given here.

A brief description of the slabs we consider and of the results we obtain is given in the abstract which precedes thj.s work. In Section 2 we give a fuller description of the class of slabs to be treated. This class of slabs should be thought of as intermediate in simplicity between the class of plane slabs and that of circular shells or layers of matter. The latter class of geometries presents analytical difficulties of the tvpe already familiar in the case of diffraction or reflection from perfectly conducting circular cylinders. The parabolic slabs which we consider offer the same Although the solution can be obtained in the form of an infinite series, special techniques are required for its summation unless the radius is sufficiently small.

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.

Details zur Ausgabe

• Verlag: Forgotten Books
• Erscheinungsdatum: 2019
• ISBN 10: 1332093159
• ISBN 13: 9781332093151
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 36