Read Equivalence Relations in Diffraction Theory (Classic Reprint)

Equivalence Relations in Diffraction Theory (Classic Reprint)

S.N. Karp

4.9/5 (17934 ratings)

Description:Excerpt from Equivalence Relations in Diffraction Theory It is of some interest in mathematical physics to find methods whereby the solution of one boundary-value problem may be deduced from the solution of a different one, i.e., to establish equivalence relationships between different problems. One example of the utility of equivalence relations between different problems is afforded by Kelvin's well-known method of images where the original boundary-value problem is transformed into one for a larger domain for which a solution is generally available by inspection. Babinet's principle in diffraction theory is a further example of the utility of equivalence relationships between different boundary-value problems. It is of interest to note that the process used in the present paper may be applied to deduce Babinet's principle. The object of the present paper is to obtain some more general equivalence relationships between different problems occurring in acoustic and electromagnetic diffraction theory. The first problem considered is that of the diffraction of a plane wave normally incident on a two-dimensional infinite grating composed of strip elements equal in width to the grating spacing. This problem was recently solved by Baldwin and Heins, who, from symmetry considerations, reduced it to the diffraction problem for an iris in a parallel-plate waveguide. They then obtained a solution to this latter problem by means of the Wiener-Hopf technique, which has not previously proved useful for the wave diffraction problems involving finite obstacles. It is shown in the present paper, however, that this solution may be deduced immediately from the solution of the diffraction problem for a bifurcated waveguide (or, equivalently, from the diffraction problem for an infinite set of semi-infinite parallel plates, which has been solved previously by Carlson and Heins). 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Equivalence Relations in Diffraction Theory (Classic Reprint). To get started finding Equivalence Relations in Diffraction Theory (Classic Reprint), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: —

Release: —

ISBN: 1332124852

Description: Excerpt from Equivalence Relations in Diffraction Theory It is of some interest in mathematical physics to find methods whereby the solution of one boundary-value problem may be deduced from the solution of a different one, i.e., to establish equivalence relationships between different problems. One example of the utility of equivalence relations between different problems is afforded by Kelvin's well-known method of images where the original boundary-value problem is transformed into one for a larger domain for which a solution is generally available by inspection. Babinet's principle in diffraction theory is a further example of the utility of equivalence relationships between different boundary-value problems. It is of interest to note that the process used in the present paper may be applied to deduce Babinet's principle. The object of the present paper is to obtain some more general equivalence relationships between different problems occurring in acoustic and electromagnetic diffraction theory. The first problem considered is that of the diffraction of a plane wave normally incident on a two-dimensional infinite grating composed of strip elements equal in width to the grating spacing. This problem was recently solved by Baldwin and Heins, who, from symmetry considerations, reduced it to the diffraction problem for an iris in a parallel-plate waveguide. They then obtained a solution to this latter problem by means of the Wiener-Hopf technique, which has not previously proved useful for the wave diffraction problems involving finite obstacles. It is shown in the present paper, however, that this solution may be deduced immediately from the solution of the diffraction problem for a bifurcated waveguide (or, equivalently, from the diffraction problem for an infinite set of semi-infinite parallel plates, which has been solved previously by Carlson and Heins). 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Equivalence Relations in Diffraction Theory (Classic Reprint). To get started finding Equivalence Relations in Diffraction Theory (Classic Reprint), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

Equivalence Relations in Diffraction Theory (Classic Reprint)

Equivalence Relations in Diffraction Theory (Classic Reprint)

More Books

Vertex Excited Surface Waves on One Face of a Right Angles Wedge (Classic Reprint) by S. N. Karp (2015-09-27)

Vertex Excited Surface Waves on One Face of a Right Angles Wedge (Classic Reprint) by S. N. Karp (2015-09-27)

Aerodynamics of the oscillating air-foil in compressible flow ... prepared by S.N. Karp, S.S. Shu, and H. Weil; under the supervision of M.A. Biot. [Leather Bound]

Aerodynamics of the oscillating air-foil in compressible flow ... prepared by S.N. Karp, S.S. Shu, and H. Weil; under the supervision of M.A. Biot. [Leather Bound]

Diffraction of a Plane Wave by an Unidirectionally Conducting Half-Plane (Classic Reprint) by S. N. Karp (2015-09-27)

Diffraction of a Plane Wave by an Unidirectionally Conducting Half-Plane (Classic Reprint) by S. N. Karp (2015-09-27)

Snowstorm in August

Snowstorm in August

Research Report - No. EM-190 - The Diffraction of Oblique Surface Waves by a Right-Angle Bend

Research Report - No. EM-190 - The Diffraction of Oblique Surface Waves by a Right-Angle Bend

Far Field Amplitudes and Inverse Diffraction Theory (Classic Reprint)

Far Field Amplitudes and Inverse Diffraction Theory (Classic Reprint)

Excitation of Surface Waves on an Unidirectionally Conducting Screen by a Phased Line Source (Classic Reprint)

Excitation of Surface Waves on an Unidirectionally Conducting Screen by a Phased Line Source (Classic Reprint)

Phenomenological Theory of Multi-Mode Surface Wave Structures - New York University Courant Institute of Mathematical Sciences Division of Electromagnetic Research

Phenomenological Theory of Multi-Mode Surface Wave Structures - New York University Courant Institute of Mathematical Sciences Division of Electromagnetic Research

Diffraction of a Plane Wave by an Unidirectionally Conducting Half-Plane (Classic Reprint)

Diffraction of a Plane Wave by an Unidirectionally Conducting Half-Plane (Classic Reprint)