E-Book Overview
This book provides a brief overview of the popular Finite Element Method (FEM) and its hybrid versions for electromagnetics with applications to radar scattering, antennas and arrays, guided structures, microwave components, frequency selective surfaces, periodic media, and RF materials characterizations and related topics. It starts by presenting concepts based on Hilbert and Sobolev spaces as well as Curl and Divergence spaces for generating matrices, useful in all engineering simulation methods. It then proceeds to present applications of the finite element and finite element-boundary integral methods for scattering and radiation. Applications to periodic media, metamaterials and bandgap structures are also included. The hybrid volume integral equation method for high contrast dielectrics and is presented for the first time. Another unique feature of the book is the inclusion of design optimization techniques and their integration within commercial numerical analysis packages for shape and material design. To aid the reader with the method's utility, an entire chapter is devoted to two-dimensional problems. The book can be considered as an update on the latest developments since the publication of our earlier book (Finite Element Method for Electromagnetics, IEEE Press, 1998). The latter is certainly complementary companion to this one.
E-Book Content
P1: IML/FFX MOBK040-FM P2: IML/FFX QC: IML/FFX MOBK040-Volakis.cls T1: IML November 11, 2006 22:5 Frequency Domain Hybrid Finite Element Methods for Electromagnetics i P1: IML/FFX MOBK040-FM P2: IML/FFX QC: IML/FFX MOBK040-Volakis.cls T1: IML November 11, 2006 22:5 Copyright © 2006 by Morgan & Claypool All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means—electronic, mechanical, photocopy, recording, or any other except for brief quotations in printed reviews, without the prior permission of the publisher. Frequency Domain Hybrid Finite Element Methods for Electromagnetics John L. Volakis, Kubilay Sertel and Brian C. Usner www.morganclaypool.com ISBN: 1598290800 paperback ISBN: 9781598290806 paperback ISBN: 1598290819 ebook ISBN: 9781598290813 ebook DOI 10.2200/S00038ED1V01Y200606CEM010 A Publication in the Morgan & Claypool Publishers series SYNTHESIS LECTURES ON COMPUTATIONAL ELECTROMAGNETICS Series ISSN: 1932-1252 print Series ISSN: 1932-1716 electronic Series Editor: Constantine A. Balanis, Arizona State University First Edition 10 9 8 7 6 5 4 3 2 1 ii P1: IML/FFX P2: IML/FFX MOBK040-FM QC: IML/FFX MOBK040-Volakis.cls T1: IML November 11, 2006 22:5 Frequency Domain Hybrid Finite Element Methods for Electromagnetics John L. Volakis, and Kubilay Sertel The Ohio State University, Columbus, Ohio, USA Brian C. Usner Ansoft Corporation SYNTHESIS LECTURES ON COMPUTATIONAL ELECTROMAGNETICS M &C Mor gan & Cl aypool iii Publishers P1: IML/FFX P2: IML/FFX MOBK040-FM QC: IML/FFX MOBK040-Volakis.cls T1: IML November 11, 2006 22:5 iv ABSTRACT This book provides a brief overview of the popular Finite Element Method (FEM) and its hybrid versions for electromagnetics with applications to radar scattering, antennas and arrays, guided structures, microwave components, frequency selective surfaces, periodic media, and RF materials characterizations and related topics. It starts by presenting concepts based on Hilbert and Sobolev spaces as well as Curl and Divergence spaces for generating matrices, useful in all engineering