Author: Irving J. EpsteinPublisher:
ISBN:
Category : Diffraction
Languages : en
Pages : 44
Book Description
On a Fredholm Equation in Diffraction Theory
Author: Irving J. EpsteinPublisher:
ISBN:
Category : Diffraction
Languages : en
Pages : 44
Book Description
Equations of Mathematical Diffraction Theory
Author: Mezhlum A. SumbatyanPublisher: 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.
On Some Fredholm Integral Equations Arising in Diffraction Theory
Author: C. H. YangPublisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 28
Book Description
Mathematical Modeling in Diffraction Theory
Author: Alexander G. KyurkchanPublisher: Elsevier
ISBN: 0128037482
Category : Science
Languages : en
Pages : 282
Book Description
Mathematical Modeling in Diffraction Theory: Based on A Priori Information on the Analytical Properties of the Solution provides the fundamental physical concepts behind the theory of wave diffraction and scattered wave fields as well as its application in radio physics, acoustics, optics, radio astronomy, biophysics, geophysics, and astrophysics. This book provides a coherent discussion of several advanced topics that have the potential to push forward progress in this field. It begins with examples illustrating the importance of taking a priori information into account when developing algorithms for solving diffraction problems, with subsequent chapters discussing the basic analytical representations of wave fields, the auxiliary current and source methods for solving the problems of diffraction at compact scatterers, the null field and matrix methods that are widely used to solve problems in radio-physics, radio-astronomy, and biophysics, and the continued boundary condition and pattern equation method. - Provides ideas and techniques for obtaining a priori information on analytical properties of wave fields and provides methods for solving diffraction problems - Includes numerous concrete examples of localization of singularities of analytical continuation of wave fields - Presents a qualitative explanation of the formation of visions of objects - Formulates the concept of "invisible objects - Supplies appropriate computer programs for all presented methods
Basic Mathematical Research for Electromagnetic Theory
Author: Morris KlinePublisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 28
Book Description
The objective of the research under this contract was to explore mathematical problems which arise in the field of theoretical electromagnetics, or to anticipate mathematical needs or methodology for electromagnetic problems. The Division of Electromagnetic Research has been tackling electromagnetic problems for a number of years and has found that many investigations have been hampered by the lack of available mathematical information or of methods.
Handbook of Integral Equations
Author: Andrei D. PolyaninPublisher: CRC Press
ISBN: 0203881052
Category : Mathematics
Languages : en
Pages : 1143
Book Description
Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa
AFOSR.
Author: United States. Air Force. Office of Scientific ResearchPublisher:
ISBN:
Category : Research
Languages : en
Pages : 1190
Book Description
On Some Fredholm Integral Equations Arising in Diffraction Theory (Classic Reprint)
Author: Chao Hui YangPublisher: 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 Some Fredholm Integral Equations Arising in Diffraction Theory
Author: Chao-Hui YangPublisher: Palala Press
ISBN: 9781342059819
Category :
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.
Author: Chao-Hui Yang