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Author: Fritz Reiche Publisher: Forgotten Books ISBN: 9780267869411 Category : Mathematics Languages : en Pages : 26
Book Description
Excerpt from On Diffraction by an Infinite Grating The diffraction of a plane wave by an infinite grating of identical circular cylinders is considered. It is shown that the various scattered cylindrical waves combine to form a finite number of plane waves and at: infinite number of surface waves. 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.
Author: Fritz Reiche Publisher: Forgotten Books ISBN: 9780267869411 Category : Mathematics Languages : en Pages : 26
Book Description
Excerpt from On Diffraction by an Infinite Grating The diffraction of a plane wave by an infinite grating of identical circular cylinders is considered. It is shown that the various scattered cylindrical waves combine to form a finite number of plane waves and at: infinite number of surface waves. 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.
Author: W. Magnus Publisher: Forgotten Books ISBN: 9780331024746 Category : Languages : en Pages : 34
Book Description
Excerpt from An Infinite System of Linear Equations Arising in Diffraction Theory An infinite system of linear equations is investigated which arises in the theory of diffraction by a circular aperture. The coefficients of this system depend on a parameter a. It is proved that the solution of the system can be found to any degree of approximation by solving the first N equations for the first N unknowns, for N sufficiently large. 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.
Author: Jerry Shmoys Publisher: Forgotten Books ISBN: 9781333527273 Category : Science Languages : en Pages : 58
Book Description
Excerpt from Diffraction of Electromagnetic Waves by a Plane Wire Grating In the infrared region the grating constant is much greater than a wavelength. In this case one can assume that there is no interaction between the wires of the grating. The diffraction field is taken as the sum of diffrac tion fields of the individual wires of the grating, the field of any one wire calculated neglecting the other wiresl. The grating is assumed to consist of a set of infinite, parallel, equidistant, perfectly conducting circular cylinders. The set may be taken as finite, showing the background in addition to the various order spectra. Only the infinite grating will be considered here. This approach was extended somewhat by'twersky2 who included the first order interaction effects between neighboring elements in the case of an acoustic wave incident on a grat ing of perfectly rigid circular cylinders. 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.
Author: Samuel N. Karp Publisher: Palala Press ISBN: 9781341564277 Category : Languages : en Pages : 30
Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Samuel N. Karp Publisher: ISBN: 9781332120741 Category : Science Languages : en Pages : 52
Book Description
Excerpt from Diffraction by a Wide Slit Since there already exist numerous investigations of the diffraction of scalar waves by a slit, the addition of another item to the literature requires some explanation. The purpose of the present note is to give an elementary and intuitive account of the diffraction by an infinite conducting plane with a slit. We consider specifically the case of electromagnetic waves whose electric field possesses only a single component, namely a component in the direction parallel to the edges of the slit. The results are also applicable to the acoustic problem, for soft screens. It is found that the results for large slit widths can be expressed approximately in terms of simple well-known functions and that these approximations are more accurate than those conveniently obtainable by previous procedures. The procedures that have hitherto been proposed and applied to this problem fall into three categories. First, there is the exact theory based upon separation of variables in elliptic coordinates. This procedure is useful only when the ratio of slit width to wavelength is small (that is, say, smaller than 3), Second, there are approximation procedures that are valid when the ratio of slit width to wavelength is small. Such procedures, based on the solution of related electrostatic problems, were indicated by Rayleigh and have been Ca developed further by, e.g., Sommerfeld, Groschwitz and Honl, and Bouwkamp. Finally, there are approximate treatments valuable particularly for large ratios of slit widths to wavelength; among these are calculations based on Kirchoff's procedures and their various modifications, and the work of Schwarzschild. A calculation related to that of Schwarzschild has recently been published by Fox in connection with diffraction by a pulse. It should be noted that variational techniques may be applied in conjunction with any of the approximate methods just mentioned. 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.
Author: Alfred Leitner Publisher: Forgotten Books ISBN: 9780267691159 Category : Mathematics Languages : en Pages : 82
Book Description
Excerpt from Notes on Diffraction: By a Circular Disk Another is based on the wiener-hopf method of solving integral equations with kernels having special properties. It was recently first applied in diffraction by Schwinger to the problem of the bifurcated wave guidez. It is known that any wave problem may be formulated by a partial differential equation the wave equation with appropriate boundary conditions, or by an integral equation comprising the boundary conditions. The latter can.be obtained by Green's function techniques. If, and.only if, the kernel is a function of the difference of its arguments can.this method be employed. This limits the variety of scatterers. Among other problems to which the method has been successfully applied are the radia tion from a semi - infinite cylinder}, and the diffraction from two and from an infinite set of parallel halfeplanesu. 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.
Author: Kamill Klem-Musatov Publisher: SEG Books ISBN: 1560803223 Category : Science Languages : en Pages : 341
Book Description
Providing geophysicists with an in-depth understanding of the theoretical and applied background for the seismic diffraction method, “Classical and Modern Diffraction Theory” covers the history and foundations of the classical theory and the key elements of the modern diffraction theory. Chapters include an overview and a historical review of classical theory, a summary of the experimental results illustrating this theory, and key principles of the modern theory of diffraction; the early cornerstones of classical diffraction theory, starting from its inception in the 17th century and an extensive introduction to reprinted works of Grimaldi, Huygens, and Young; details of the classical theory of diffractions as developed in the 19th century and reprinted works of Fresnel, Green, Helmholtz, Kirchhoff, and Rayleigh; and the cornerstones of the modern theory including Keller’s geometrical theory of diffraction, boundary-layer theory, and super-resolution. Appendices on the Cornu spiral and Babinet’s principle are also included.
Author: Fritz Reiche
Author: Fritz Reiche
Author: Fritz Reiche
Author: W. Magnus
Author: Jerry Shmoys
Author: Samuel N. Karp
Author: Samuel N. Karp
Author: Alfred Leitner
Author: Kamill Klem-Musatov
Author: M.C. Hutley
Author: D. Maystre