Optimization Methods in Electromagnetic Radiation / Edition 1

by Thomas S. Angell, Andreas Kirsch

Overview

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 first instance, simply for the accurate modelling of the electromagnetic fields produced by an antenna. The description of the electromagnetic fields 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 different 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 difficult 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 performance can become quite sophisticated even for simple physical structures.

Product Details

ISBN-13:	9780387204505
Publisher:	Springer New York
Publication date:	01/08/2004
Series:	Springer Monographs in Mathematics
Edition description:	2004
Pages:	331
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Arrays of Point and line Sources, and Optimization.- Discussion of Maxwel’s Equations.- Optimization Theory for Antennas.- The Synthesis Problem.- Boundary Value Problems for the Two-Dimensional Helmholtz Equation.- Boundary Value Problems for Maxwell’s Equations.- Some Particular Optimization Problems.- Conflicting Objectives: The Vector Optimization Problem.