Optimization Methods in Electromagnetic Radiation

This book gives a careful, mathematical introduction to the theory and design of antenna structures, an important area of application in electromagnetics. In particular, the authors show how functional analysis and the modern theory of optimization, including multicriteria optimization, can be used to treat some basic problems in antenna design. It is intended for a dual audience of mathematicians and mathematically-sophisticated engineers.

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

Klappentext

This book considers problems of optimization arising in the design of electromagnetic radiators and receivers. The authors develop a systematic general theory that can be applied to a wide class of structures. The theory is illustrated with familiar, simple examples and indications of how the results can be applied to more complicated structures. The final chapter introduces techniques from multicriteria optimization in antenna design. The material is intended for a dual audience of mathematicians and theoretically-inclined engineers. References to both the mathematics and engineering literature help guide the reader through the necessary mathematical background.

Inhalt
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.