Multipole Theory in Electromagnetism

Multipole Theory in Electromagnetism

Author: Roger E. Raab

Publisher: Oxford University Press, USA

Published: 2005

Total Pages: 248

ISBN-13: 0198567278

DOWNLOAD EBOOK

Multipole theory provides a powerful way of characterising the electromagnetic behaviour of a medium, be it microscopic or macroscopic. This text decribes the concept of multipole theory as well as its successes and failures in applications to transmission, scattering and reflection.


Neoclassical Theory of Electromagnetic Interactions

Neoclassical Theory of Electromagnetic Interactions

Author: Anatoli Babin

Publisher: Springer

Published: 2016-08-04

Total Pages: 687

ISBN-13: 1447172841

DOWNLOAD EBOOK

In this monograph, the authors present their recently developed theory of electromagnetic interactions. This neoclassical approach extends the classical electromagnetic theory down to atomic scales and allows the explanation of various non-classical phenomena in the same framework. While the classical Maxwell–Lorentz electromagnetism theory succeeds in describing the physical reality at macroscopic scales, it struggles at atomic scales. Here, quantum mechanics traditionally takes over to describe non-classical phenomena such as the hydrogen spectrum and de Broglie waves. By means of modifying the classical theory, the approach presented here is able to consistently explain quantum-mechanical effects, and while similar to quantum mechanics in some respects, this neoclassical theory also differs markedly from it. In particular, the newly developed framework omits probabilistic interpretations of the wave function and features a new fundamental spatial scale which, at the size of the free electron, is much larger than the classical electron radius and is relevant to plasmonics and emission physics. This book will appeal to researchers interested in advanced aspects of electromagnetic theory. Treating the classical approach in detail, including non-relativistic aspects and the Lagrangian framework, and comparing the neoclassical theory with quantum mechanics and the de Broglie–Bohm theory, this work is completely self-contained.


The Classical Electromagnetic Field

The Classical Electromagnetic Field

Author: Leonard Eyges

Publisher: Courier Corporation

Published: 2012-06-11

Total Pages: 452

ISBN-13: 0486152359

DOWNLOAD EBOOK

This excellent text covers a year's course. Topics include vectors D and H inside matter, conservation laws for energy, momentum, invariance, form invariance, covariance in special relativity, and more.


Fast Multipole Methods for the Helmholtz Equation in Three Dimensions

Fast Multipole Methods for the Helmholtz Equation in Three Dimensions

Author: Nail A Gumerov

Publisher: Elsevier

Published: 2005-01-27

Total Pages: 551

ISBN-13: 0080531598

DOWNLOAD EBOOK

This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and Greengard in 1987 and has enjoyed a dramatic development and recognition during the past two decades. This method has been described as one of the best 10 algorithms of the 20th century. Thus, it is becoming increasingly important to give a detailed exposition of the Fast Multipole Method that will be accessible to a broad audience of researchers. This is exactly what the authors of this book have accomplished. For this reason, it will be a valuable reference for a broad audience of engineers, physicists and applied mathematicians. - The Only book that provides comprehensive coverage of this topic in one location - Presents a review of the basic theory of expansions of the Helmholtz equation solutions - Comprehensive description of both mathematical and practical aspects of the fast multipole method and it's applications to issues described by the Helmholtz equation


Theory and Phenomena of Metamaterials

Theory and Phenomena of Metamaterials

Author: Filippo Capolino

Publisher: CRC Press

Published: 2017-12-19

Total Pages: 1304

ISBN-13: 1351835262

DOWNLOAD EBOOK

Theory and Phenomena of Metamaterials offers an in-depth look at the theoretical background and basic properties of electromagnetic artificial materials, often called metamaterials. A volume in the Metamaterials Handbook, this book provides a comprehensive guide to working with metamaterials using topics presented in a concise review format along with numerous references. With contributions from leading researchers, this text covers all areas where artificial materials have been developed. Each chapter in the text features a concluding summary as well as various cross references to address a wide range of disciplines in a single volume.


Theory of Electromagnetic Wave Propagation

Theory of Electromagnetic Wave Propagation

Author: Charles Herach Papas

Publisher: Courier Corporation

Published: 2014-05-05

Total Pages: 274

ISBN-13: 048614514X

DOWNLOAD EBOOK

Clear, coherent work for graduate-level study discusses the Maxwell field equations, radiation from wire antennas, wave aspects of radio-astronomical antenna theory, the Doppler effect, and more.


Solved Problems in Classical Electromagnetism

Solved Problems in Classical Electromagnetism

Author: J. Pierrus

Publisher: Oxford University Press

Published: 2018-08-02

Total Pages: 649

ISBN-13: 0192555049

DOWNLOAD EBOOK

Classical electromagnetism - one of the fundamental pillars of physics - is an important topic for all types of physicists from the theoretical to the applied. The subject is widely recognized to be one of the most challenging areas of the physics curriculum, both for students to learn and for lecturers to teach. Although textbooks on electromagnetism are plentiful, hardly any are written in the question-and-answer style format adopted in this book. It contains nearly 300 worked questions and solutions in classical electromagnetism, and is based on material usually encountered during the course of a standard university physics degree. Topics covered include some of the background mathematical techniques, electrostatics, magnetostatics, elementary circuit theory, electrodynamics, electromagnetic waves and electromagnetic radiation. For the most part the book deals with the microscopic theory, although we also introduce the important subject of macroscopic electromagnetism as well. Nearly all questions end with a series of comments whose purpose is to stimulate inductive reasoning and reach various important conclusions arising from the problem. Occasionally, points of historical interest are also mentioned. Both analytical and numerical techniques are used in obtaining and analyzing solutions. All computer calculations are performed with MathematicaCO® and the relevant code is provided in a notebook; either in the solution or the comments.


Electromagnetic Scattering from Random Media

Electromagnetic Scattering from Random Media

Author: Timothy R. Field

Publisher: International Monographs on Ph

Published: 2009

Total Pages: 199

ISBN-13: 0198570775

DOWNLOAD EBOOK

The book develops the dynamical theory of scattering from random media from first principles. Its key findings are to characterize the time evolution of the scattered field in terms of stochastic differential equations, and to illustrate this framework in simulation and experimental data analysis. The physical models contain all correlation information and higher order statistics, which enables radar and laser scattering experiments to be interpreted. An emphasis is placed on the statistical character of the instantaneous fluctuations, as opposed to ensemble average properties. This leads to various means for detection, which have important consequences in radar signal processing and statistical optics. The book is also significant also because it illustrates how ideas in mathematical finance can be applied to physics problems in which non-Gaussian noise processes play an essential role. This pioneering book represents a significant advance in this field, and should prove valuable to leading edge researchers and practitioners at the postgraduate level and above.


Classical Electromagnetic Radiation

Classical Electromagnetic Radiation

Author: Mark A. Heald

Publisher: Courier Corporation

Published: 2012-12-19

Total Pages: 594

ISBN-13: 0486490602

DOWNLOAD EBOOK

Newly corrected, this highly acclaimed text is suitable foradvanced physics courses. The authors present a very accessiblemacroscopic view of classical electromagnetics thatemphasizes integrating electromagnetic theory with physicaloptics. The survey follows the historical development ofphysics, culminating in the use of four-vector relativity tofully integrate electricity with magnetism.Corrected and emended reprint of the Brooks/Cole ThomsonLearning, 1994, third edition.