The Mathematical Analysis of Electrical and Optical Wave-motion on the Basis of Maxwell's Equations
Author | : Harry Bateman |
Publisher | : |
Total Pages | : 182 |
Release | : 1915 |
Genre | : Differential equations, Partial |
ISBN | : |
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Author | : Harry Bateman |
Publisher | : |
Total Pages | : 182 |
Release | : 1915 |
Genre | : Differential equations, Partial |
ISBN | : |
Author | : Gang Bao |
Publisher | : Springer Nature |
Total Pages | : 361 |
Release | : 2021-11-22 |
Genre | : Mathematics |
ISBN | : 9811600619 |
This book addresses recent developments in mathematical analysis and computational methods for solving direct and inverse problems for Maxwell’s equations in periodic structures. The fundamental importance of the fields is clear, since they are related to technology with significant applications in optics and electromagnetics. The book provides both introductory materials and in-depth discussion to the areas in diffractive optics that offer rich and challenging mathematical problems. It is also intended to convey up-to-date results to students and researchers in applied and computational mathematics, and engineering disciplines as well.
Author | : Aurelia Minut |
Publisher | : |
Total Pages | : 140 |
Release | : 2001 |
Genre | : Electromagnetic theory |
ISBN | : |
Author | : Andreas Kirsch |
Publisher | : Springer |
Total Pages | : 347 |
Release | : 2014-11-20 |
Genre | : Mathematics |
ISBN | : 3319110861 |
This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations. The book arose from lectures taught by the authors over many years and can be helpful in designing graduate courses for mathematically orientated students on electromagnetic wave propagation problems. The students should have some knowledge on vector analysis (curves, surfaces, divergence theorem) and functional analysis (normed spaces, Hilbert spaces, linear and bounded operators, dual space). Written in an accessible manner, topics are first approached with simpler scale Helmholtz Equations before turning to Maxwell Equations. There are examples and exercises throughout the book. It will be useful for graduate students and researchers in applied mathematics and engineers working in the theoretical approach to electromagnetic wave propagation.
Author | : Ulrich Langer |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 444 |
Release | : 2019-07-08 |
Genre | : Mathematics |
ISBN | : 3110543613 |
This volume collects longer articles on the analysis and numerics of Maxwell’s equations. The topics include functional analytic and Hilbert space methods, compact embeddings, solution theories and asymptotics, electromagnetostatics, time-harmonic Maxwell’s equations, time-dependent Maxwell’s equations, eddy current approximations, scattering and radiation problems, inverse problems, finite element methods, boundary element methods, and isogeometric analysis.
Author | : Harry Bateman |
Publisher | : Forgotten Books |
Total Pages | : 178 |
Release | : 2016-09-07 |
Genre | : Mathematics |
ISBN | : 9781333492588 |
Excerpt from The Mathematical Analysis of Electrical and Optical Wave-Motion on the Basis of Maxwell's Equations Larmor who read the manuscript before it was revised and made some helpful suggestions, to Prof. Ames who read the greater portion of the manuscript, to Prof. Morley and Mr Hasse who helped me with their advice and vigilance in reading the proof sheets, and to the officers and staff of the University Press for their careful work and constant consideration shown in matters connected with the printing. For the correctness of the new formulae and examples I alone am responsible; if any errors are discovered I shall be grateful if my readers will inform me. 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 | : Jichun Li |
Publisher | : Springer Science & Business Media |
Total Pages | : 309 |
Release | : 2012-12-15 |
Genre | : Computers |
ISBN | : 3642337899 |
The purpose of this book is to provide an up-to-date introduction to the time-domain finite element methods for Maxwell’s equations involving metamaterials. Since the first successful construction of a metamaterial with both negative permittivity and permeability in 2000, the study of metamaterials has attracted significant attention from researchers across many disciplines. Thanks to enormous efforts on the part of engineers and physicists, metamaterials present great potential applications in antenna and radar design, sub-wavelength imaging, and invisibility cloak design. Hence the efficient simulation of electromagnetic phenomena in metamaterials has become a very important issue and is the subject of this book, in which various metamaterial modeling equations are introduced and justified mathematically. The development and practical implementation of edge finite element methods for metamaterial Maxwell’s equations are the main focus of the book. The book finishes with some interesting simulations such as backward wave propagation and time-domain cloaking with metamaterials.
Author | : Ana Alonso Rodriguez |
Publisher | : Springer Science & Business Media |
Total Pages | : 355 |
Release | : 2010-11-22 |
Genre | : Mathematics |
ISBN | : 8847015065 |
This book deals with the mathematical analysis and the numerical approximation of eddy current problems in the time-harmonic case. It takes into account all the most used formulations, placing the problem in a rigorous functional framework.