Maxwell’s Equations in Periodic Structures

Maxwell’s Equations in Periodic Structures
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.

The Mathematical Theory of Time-Harmonic Maxwell's Equations

The Mathematical Theory of Time-Harmonic Maxwell's Equations
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.

Maxwell’s Equations

Maxwell’s Equations
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.

The Mathematical Analysis of Electrical and Optical Wave-Motion on the Basis of Maxwell's Equations (Classic Reprint)

The Mathematical Analysis of Electrical and Optical Wave-Motion on the Basis of Maxwell's Equations (Classic Reprint)
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.

Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
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.

Eddy Current Approximation of Maxwell Equations

Eddy Current Approximation of Maxwell Equations
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.