Addition Theorems for Spherical Waves (Classic Reprint)

Addition Theorems for Spherical Waves (Classic Reprint)

Author: Bernard Friedman

Publisher: Forgotten Books

Published: 2016-09-08

Total Pages: 30

ISBN-13: 9781333513979

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Excerpt from Addition Theorems for Spherical Waves When a plane wave is incident on a configuration of spheres, the scattered field may be obtained by a series of successive approximations. The zero-th order approximation is just the sum of the fields scattered by each individual Sphere when the excitation of each sphere is taken to be the original plane wave. Higher order approximations take into account contributions to the excitation of a particular sphere from the waves which the remaining spheres scatter. In particular, the first order approximation is the field scattered.by the configuration when the ex citation field is taken to be the initial plane wave plus the zero-th order approximation to the scattered wave. 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.


Addition Theorems for Spherical Waves

Addition Theorems for Spherical Waves

Author: Bernard Friedman

Publisher: Legare Street Press

Published: 2023-07-18

Total Pages: 0

ISBN-13: 9781022218338

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This groundbreaking work presents new approaches to the theory of addition theorems for spherical waves. With applications in fields ranging from optics to acoustics, this book is an indispensable resource for researchers and students alike. The authors provide clear explanations and insightful examples, making even complex topics accessible to readers with a basic understanding of calculus and spherical harmonics. 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 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. 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.


Modeling and Computations in Electromagnetics

Modeling and Computations in Electromagnetics

Author: Habib Ammari

Publisher: Springer Science & Business Media

Published: 2008-01-12

Total Pages: 239

ISBN-13: 3540737782

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This is nothing less than an essential text in what is a new and growing discipline. Electromagnetic modeling and computations is expanding as a result of the steadily increasing demand for designing electrical devices, modeling electromagnetic materials, and simulating electromagnetic fields in nanoscale structures. The aim of this volume is to bring together prominent worldwide experts to review state-of-the-art developments and future trends of modeling and computations in electromagnetics.


The Foundations of Acoustics

The Foundations of Acoustics

Author: Eugen Skudrzyk

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 816

ISBN-13: 3709182557

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Research and scientific progress are based upqn intuition coordinated with a wide theoretical knowledge, experimental skill, and a realistic sense of the limitations of technology. Only a deep insight into physical phenomena will supply the necessary skills to handle the problems that arise in acoustics. The acoustician today needs to be well acquainted with mathematics, dynamics, hydrodynamics, and physics; he also needs a good knowledge of statistics, signal processing, electrical theory, and of many other specialized subjects. Acquiring this background is a laborious task and would require the study of many different books. It is the goal of this volume to present this background in as thorough and readable a manner as possible so that the reader may turn to specialized publications or chapters of other books for further information without having to start at the preliminaries. In trying to accomplish this goal, mathematics serves only as a tool; the better our understanding of a physical phenomenon, the less mathematics is needed and the shorter and more concise are our computa tions. A word about the choice of subjects for this volume will be helpful to the reader. Even scientists of high standing are frequently not acquainted with the fundamentals needed in the field of acoustics. Chapters I to IX are devoted to these fundamentals. After studying Chapter I, which dis cusses the units and their relationships, the reader should have no difficulty converting from one system of units to any other.


Generalized Lorenz-Mie Theories

Generalized Lorenz-Mie Theories

Author: Gerard Gouesbet

Publisher: Springer Science & Business Media

Published: 2011-02-08

Total Pages: 337

ISBN-13: 364217194X

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The Lorenz-Mie theory, describing the interaction between a homogeneous sphere and an electromagnetic plane wave, is likely to be one of the most famous theories in light scattering. But, with the advent of lasers and their increasing development in various fields, it has become too old-fashioned to meet most of the modern requisites. The book deals with generalized Lorenz-Mie theories when the illuminating beam is an electromagnetic arbitrary shaped beam, relying on the method of separation of variables. A particular emphasis is stressed on the case of the homogeneous sphere but other regular particles are considered too. An extensive discussion of the methods available to the evaluation of beam shape coefficients describing the illuminating beam is provided, and several methods are discussed. Applications concern many fields such as optical particle sizing and, more generally, optical particle characterization, morphology-dependent resonances, or mechanical effects of light for optical trapping, optical tweezers and optical stretchers. Various computer programs relevant to the contents of the book are furthermore provided.


The Handbook of Antenna Design

The Handbook of Antenna Design

Author: Alan W. Rudge

Publisher: IET

Published: 1982

Total Pages: 726

ISBN-13: 9780906048825

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This book presents the fundamental background theory and analytical techniques of antenna design. It deals with a very wide range of antenna types, operating from very low frequencies to millimetre waves.


Seismic Waves and Sources

Seismic Waves and Sources

Author: A. Ben-Menahem

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 1127

ISBN-13: 1461258561

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Earthquakes come and go as they please, leaving behind them trails of destruc tion and casualties. Although their occurrence is little affected by what we do or think, it is the task of earth scientists to keep studying them from all possible angles until ways and means are found to divert, forecast, and eventually control them. In ancient times people were awestruck by singular geophysical events, which were attributed to supernatural powers. It was recognized only in 1760 that earthquakes originated within the earth. A hundred years later, first systematic attempts were made to apply physical principles to study them. During the next century scientists accumulated knowledge about the effects of earthquakes, their geographic patterns, the waves emitted by them, and the internal constitution of the earth. During the past 20 years, seismology has made a tremendous progress, mainly because of the advent of modern computers and improvements in data acquisi tion systems, which are now capable of digital and analog recording of ground motion over a frequency range of five orders of magnitude. These technologic developments have enabled seismologists to make measurements with far greater precision and sophistication than was previously possible. Advanced computational analyses have been applied to high-quality data and elaborate theoretical models have been devised to interpret them. As a result, far reaching advances in our knowledge of the earth's structure and the nature of earthquake sources have occurred.


Partial Differential Equations in Physics

Partial Differential Equations in Physics

Author:

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 346

ISBN-13: 0323154964

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Partial Differential Equations in Physics: Lectures on Theoretical Physics, Volume VI is a series of lectures in Munich on theoretical aspects of partial differential equations in physics. This book contains six chapters and begins with a presentation of the Fourier series and integrals based on the method of least squares. Chapter II deals with the different types of differential equations and boundary value problems, as well as the Green’s theorem and Green’s function. Chapter III addresses the classic problem of heat conduction and the intuitive method of reflected images for regions with plane boundaries. Chapters IV and V examine the Bessel functions, spherical harmonics, and the general method of eigenfunctions. Chapter VI highlights the problems in radio waves propagation, always considering the earth as a plane. This book is of great benefit to mathematicians, physicists, and physics teachers and undergraduate students.