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On a Fredholm Equation in Diffraction Theory

On a Fredholm Equation in Diffraction Theory PDF Author: Irving J. Epstein
Publisher:
ISBN:
Category : Diffraction
Languages : en
Pages : 44

Book Description


On a Fredholm Equation in Diffraction Theory

On a Fredholm Equation in Diffraction Theory PDF Author: Irving J. Epstein
Publisher:
ISBN:
Category : Diffraction
Languages : en
Pages : 44

Book Description


On Some Fredholm Integral Equations Arising in Diffraction Theory (Classic Reprint)

On Some Fredholm Integral Equations Arising in Diffraction Theory (Classic Reprint) PDF Author: Chao Hui Yang
Publisher: Forgotten Books
ISBN: 9780332598956
Category : Reference
Languages : en
Pages : 28

Book Description
Excerpt from On Some Fredholm Integral Equations Arising in Diffraction Theory In these integral equations, we find that the kernels contain a para meter arin a, non-linearwmanner. It should also be noted that both kernels are symmetric in x and y but that they are neither hermitian symmetric nor normal, except for special values of a. 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.

On a Fredholm Equation in Diffraction Theory

On a Fredholm Equation in Diffraction Theory PDF Author: Irving J. Epstein
Publisher:
ISBN:
Category : Diffraction
Languages : en
Pages : 44

Book Description


On Some Fredholm Integral Equations Arising in Diffraction Theory

On Some Fredholm Integral Equations Arising in Diffraction Theory PDF Author: Chao-Hui Yang
Publisher: Palala Press
ISBN: 9781378112700
Category : History
Languages : en
Pages : 26

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.

Equations of Mathematical Diffraction Theory

Equations of Mathematical Diffraction Theory PDF Author: Mezhlum A. Sumbatyan
Publisher: CRC Press
ISBN: 0203643488
Category : Science
Languages : en
Pages : 307

Book Description
Equations of Mathematical Diffraction Theory focuses on the comparative analysis and development of efficient analytical methods for solving equations of mathematical diffraction theory. Following an overview of some general properties of integral and differential operators in the context of the linear theory of diffraction processes, the authors provide estimates of the operator norms for various ranges of the wave number variation, and then examine the spectral properties of these operators. They also present a new analytical method for constructing asymptotic solutions of boundary integral equations in mathematical diffraction theory for the high-frequency case. Clearly demonstrating the close connection between heuristic and rigorous methods in mathematical diffraction theory, this valuable book provides you with the differential and integral equations that can easily be used in practical applications.

An Infinite System of Linear Equations Arising in Diffraction Theory (Classic Reprint)

An Infinite System of Linear Equations Arising in Diffraction Theory (Classic Reprint) PDF 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.

Asymptotic Theory Diffraction

Asymptotic Theory Diffraction PDF Author: Donald George Larson
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 74

Book Description
Given a smooth, convex conducting body of revolution with a plane electromagnetic wave propagating in the direction of the axis of revolution, the problem considered is that of finding an expression, valid for small values of wavelength, which describes the currents in the vicinity of the caustic in the shaded region of the surface. The problem is formulated in terms of an integral equation obtainable from a three-dimensional Green's function. The integration with respect to the azimuthal variable is carried out by two different schemes and the results discussed in relation to one another. The remaining integration, which is over a geodesic path, defines an integral equation which possesses a singular kernel. This singular equation is then studied in conjunction with a bounded kernel. The body of revolution under consideration to this point is then specialized to the case of the sphere in order to compare the theory with known results, and some of the physical implications of the theory are discussed. (Author).

An Integral Equation from Diffraction Theory

An Integral Equation from Diffraction Theory PDF Author: Arthur S Peters
Publisher: Palala Press
ISBN: 9781342052575
Category :
Languages : en
Pages : 88

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.

An Integral Equation from Diffraction Theory

An Integral Equation from Diffraction Theory PDF Author: Arthur Sylvester Peters
Publisher:
ISBN:
Category : Diffraction
Languages : en
Pages : 76

Book Description


Notes on Diffraction

Notes on Diffraction PDF Author: Alfred Leitner
Publisher:
ISBN: 9781332170098
Category : Mathematics
Languages : en
Pages : 84

Book Description
Excerpt from Notes on Diffraction: By a Circular Disk This report investigates diffraction of a plane sound wave from a rigid circular disk of zero thickness. A recently published exact theory is extended to compute and discuss values for the diffracted field both at the disk and at large distances from it. The Kirchhoff solution - an approximation designed for the case of very short wave length - is compared to the exact solution and it is found to be more powerful than might heretofore have been supposed. The reasons for this are discussed in some detail. 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.