Differential Forms in Electromagnetics / Edition 1

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Overview

In Differential Forms in Electromagnetics Ismo Lindell replaces classical Gibbsian vector calculus with the mathematical formalism of differential forms. Physicists have long applied this technique to various areas of theoretical analysis but so far electrical engineers have avoided its use except for geometric visualization of basic electromagnetic laws.

This book lowers the step from Gibbsian analysis to differential forms as much as possible by simplifying the notation and adding memory aids. Algebraic tools corresponding to the dyadics of Gibbsian analysis have long been missing from the formalism and they are now introduced to differential forms for the first time. This allows Dr. Lindell to treat problems of general linear electromagnetic media of engineering interest instead of only simple vacuum problems; an area of intense interest for those involved in research on metamaterials.

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Editorial Reviews

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“…a modern, clear and well-organised account…in an easily mastered notation…” (Ultramicroscopy, Vol 104, 2005)
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Product Details

Meet the Author

ISMO V. LINDELL, PhD, is a professor of electromagnetic theory at the Helsinki University of Technology, Department of Electrical and Communication Engineering, where he was the founder of the Electromagnetics Laboratory in 1984. Dr. Lindell has received numerous awards, including recognition as an IEEE Fellow for his contributions to electromagnetic theory and for the development of education in electromagnetics in Finland. He is a member of URSI and IEEE, and is the recipient of the IEE Maxwell Premium for both 1997 and 1998, as well as the IEEE S. A. Schelkunoff Best Paper prize in 1987. In addition to two books in English, Dr. Lindell has authored or coauthored ten books in Finnish along with several hundred articles.
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Table of Contents

Preface
1 Multivectors 1
2 Dyadic algebra 35
3 Differential forms 83
4 Electromagnetic fields and sources 105
5 Medium, boundary, and power conditions 123
6 Theorems and transformations 163
7 Electromagnetic waves 181
References 213
App. A Multivector and dyadic identities 219
App. B Solutions to selected problems 229
Index 249
About the author 255
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