The Mathematical Theory of Time-Harmonic Maxwell's Equations: Expansion-, Integral-, and Variational Methods

The Mathematical Theory of Time-Harmonic Maxwell's Equations: Expansion-, Integral-, and Variational Methods

by Andreas Kirsch, Frank Hettlich

Paperback(Softcover reprint of the original 1st ed. 2015)

$79.99
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Overview

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.

Product Details

ISBN-13: 9783319379180
Publisher: Springer International Publishing
Publication date: 08/23/2016
Series: Applied Mathematical Sciences , #190
Edition description: Softcover reprint of the original 1st ed. 2015
Pages: 337
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

About the Author

Andreas Kirsch and Frank Hettlichare Professors of Mathematicsat Karlsruher Institut für Technologie (KIT).

Table of Contents

Introduction.- Expansion into Wave Functions.- Scattering From a Perfect Conductor.- The Variational Approach to the Cavity Problem.- Boundary Integral Equation Methods for Lipschitz Domains.- Appendix.- References.- Index.

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