Optimization Methods in Electromagnetic Radiation

Thomas S. Angell, Andreas Kirsch (Autoren)

Buch | Softcover

331 Seiten

2011 | Softcover reprint of the original 1st ed. 2004
Springer-Verlag New York Inc.
978-1-4419-1914-4 (ISBN)

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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.

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.

Reihe/Serie	Springer Monographs in Mathematics
Zusatzinfo	4 Illustrations, black and white; XIV, 331 p. 4 illus.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Weitere Themen ► CAD-Programme
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik
	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik
	Technik ► Elektrotechnik / Energietechnik
ISBN-10	1-4419-1914-7 / 1441919147
ISBN-13	978-1-4419-1914-4 / 9781441919144
Zustand	Neuware