Skip to main content
SpringerLink
Log in
Book cover

Optimization Methods in Electromagnetic Radiation

  • Book
  • © 2004

Overview

Authors:
  1. Thomas S. Angell

    1. Department of Mathematical Sciences, University of Delaware, Newark, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Andreas Kirsch

    1. Mathematics Institute II, University of Karlsruhe, Karlsruhe, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • The authors of this book have a unique perspective that will appeal to two different communities: mathematicians studying optimization who are interested in applications, and electrical engineers working on antenna theory and design
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Monographs in Mathematics (SMM)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages I-XIII
    Download chapter PDF

  2. Arrays of Point and Line Sources, and Optimization

    • Thomas S. Angell, Andreas Kirsch
    Pages 1-48

  3. Discussion of Maxwell’s Equations

    • Thomas S. Angell, Andreas Kirsch
    Pages 49-75

  4. Optimization Theory for Antennas

    • Thomas S. Angell, Andreas Kirsch
    Pages 77-111

  5. The Synthesis Problem

    • Thomas S. Angell, Andreas Kirsch
    Pages 113-143

  6. Boundary Value Problems for the Two-Dimensional Helmholtz Equation

    • Thomas S. Angell, Andreas Kirsch
    Pages 145-184

  7. Boundary Value Problems for Maxwell’s Equations

    • Thomas S. Angell, Andreas Kirsch
    Pages 185-194

  8. Some Particular Optimization Problems

    • Thomas S. Angell, Andreas Kirsch
    Pages 195-238

  9. Conflicting Objectives: The Vector Optimization Problem

    • Thomas S. Angell, Andreas Kirsch
    Pages 239-284

  10. Back Matter

    Pages 285-331
    Download chapter PDF
Back to top

Keywords

About this book

The subject of antenna design, primarily a discipline within electrical en- neering, is devoted to the manipulation of structural elements of and/or the electrical currents present on a physical object capable of supporting such a current. Almost as soon as one begins to look at the subject, it becomes clear that there are interesting mathematical problems which need to be addressed, in the ?rst instance, simply for the accurate modelling of the electromagnetic ?elds produced by an antenna. The description of the electromagnetic ?elds depends on the physical structure and the background environment in which thedeviceistooperate. It is the coincidence of a class of practical engineering applications and theapplicationofsomeinterestingmathematicaloptimizationtechniquesthat is the motivation for the present book. For this reason, we have thought it worthwhile to collect some of the problems that have inspired our research in appliedmathematics,andtopresenttheminsuchawaythattheymayappeal to two di?erent audiences: mathematicians who are experts in the theory of mathematical optimization and who are interested in a less familiar and importantareaofapplication,andengineerswho,confrontedwithproblemsof increasing sophistication, are interested in seeing a systematic mathematical approach to problems of interest to them. We hope that we have found the right balance to be of interest to both audiences. It is a di?cult task. Our ability to produce these devices at all, most designed for a part- ular purpose, leads quite soon to a desire to optimize the design in various ways. The mathematical problems associated with attempts to optimize p- formance can become quite sophisticated even for simple physical structures.

Authors and Affiliations

  • Department of Mathematical Sciences, University of Delaware, Newark, USA

    Thomas S. Angell

  • Mathematics Institute II, University of Karlsruhe, Karlsruhe, Germany

    Andreas Kirsch

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation