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Operator Theory for Electromagnetics

An Introduction

  • Textbook
  • © 2002

Overview

Authors:
  1. George W. Hanson

    1. Department of Electrical Engineering and Computer Science, University of Wisconsin, Milwaukee, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Alexander B. Yakovlev

    1. Department of Electrical Engineering, University of Mississippi, University, USA

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xix
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  2. Basic Theory

    1. Front Matter

      Pages 1-2
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    2. Electromagnetic Fundamentals

      • George W. Hanson, Alexander B. Yakovlev
      Pages 3-62

    3. Introductory Functional Analysis

      • George W. Hanson, Alexander B. Yakovlev
      Pages 63-128

    4. Introductory Linear Operator Theory

      • George W. Hanson, Alexander B. Yakovlev
      Pages 129-217

    5. Spectral Theory of Linear Operators

      • George W. Hanson, Alexander B. Yakovlev
      Pages 219-290

    6. Sturm—Liouville Operators

      • George W. Hanson, Alexander B. Yakovlev
      Pages 291-364

  3. Application in Electromangnetics

    1. Front Matter

      Pages 365-366
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    2. Poisson’s and Laplace’s Boundary Value Problems: Potential Theory

      • George W. Hanson, Alexander B. Yakovlev
      Pages 367-401

    3. Transmission-Line Analysis

      • George W. Hanson, Alexander B. Yakovlev
      Pages 403-420

    4. Planarly Layered Media Problems

      • George W. Hanson, Alexander B. Yakovlev
      Pages 421-501

    5. Cylindrical Waveguide Problems

      • George W. Hanson, Alexander B. Yakovlev
      Pages 503-574

    6. Electromagnetic Cavities

      • George W. Hanson, Alexander B. Yakovlev
      Pages 575-595

  4. Back Matter

    Pages 605-634
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Keywords

About this book

The purpose of this book is to describe methods for solving problems in applied electromagnetic theory using basic concepts from functional anal­ ysis and the theory of operators. Although the book focuses on certain mathematical fundamentals, it is written from an applications perspective for engineers and applied scientists working in this area. Part I is intended to be a somewhat self-contained introduction to op­ erator theory and functional analysis, especially those elements necessary for application to problems in electromagnetics. The goal of Part I is to ex­ plain and synthesize these topics in a logical manner. Examples principally geared toward electromagnetics are provided. With the exception of Chapter 1, which serves as a review of basic electromagnetic theory, Part I presents definitions and theorems along with associated discussion and examples. This style was chosen because it allows one to readily identify the main concepts in a particular section. A proof is provided for all theorems whose proof is simple and straightforward. A proof is also provided for theorems that require a slightly more elaborate proof, yet one that is especially enlightening, being either constructive or illustrative. Generally. theorems are stated but not proved in cases where either the proof is too involved or the details of the proof would take one too far afield of the topic at hand, such as requiring additional lemmas that are not clearly useful in applications.

Authors and Affiliations

  • Department of Electrical Engineering and Computer Science, University of Wisconsin, Milwaukee, USA

    George W. Hanson

  • Department of Electrical Engineering, University of Mississippi, University, USA

    Alexander B. Yakovlev

Bibliographic Information

  • Book Title: Operator Theory for Electromagnetics

  • Book Subtitle: An Introduction

  • Authors: George W. Hanson, Alexander B. Yakovlev

  • DOI: https://doi.org/10.1007/978-1-4757-3679-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2002

  • Hardcover ISBN: 978-0-387-95278-9Published: 12 October 2001

  • Softcover ISBN: 978-1-4419-2934-1Published: 09 October 2011

  • eBook ISBN: 978-1-4757-3679-3Published: 09 March 2013

  • Edition Number: 1

  • Number of Pages: XIX, 634

  • Number of Illustrations: 28 b/w illustrations

  • Topics: Classical Electrodynamics, Electrical Engineering, Algebra

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