Table of Contents

Preface.

1 Multivectors.

1.1 The Grassmann algebra.

1.2 Vectors and dual vectors.

1.3 Bivectors.

1.4 Multivectors.

1.5 Geometric interpretation.

2 Dyadic Algebra.

2.1 Products of dyadics.

2.2 Dyadic identities.

2.3 Eigenproblems.

2.4 Inverse dyadic.

2.5 Metric dyadics.

2.6 Hodge dyadics.

3 Differential Forms.

3.1 Differentiation.

3.2 Differentiation theorems.

3.3 Integration.

3.4 Affine transformations.

4 Electromagnetic Fields and Sources.

4.1 Basic electromagnetic quantities.

4.2 Maxwell equations in three dimensions.

4.3 Maxwell equations in four dimensions.

4.4 Transformations.

4.5 Super forms.

5 Medium, Boundary, and Power Conditions.

5.1 Medium conditions.

5.2 Conditions on boundaries and interfaces.

5.3 Power conditions.

5.4 The Lorentz force law.

5.5 Stress dyadic.

6 Theorems and Transformations.

6.1 Duality transformation.

6.2 Reciprocity.

6.3 Equivalence of sources.

7 Electromagnetic Waves.

7.1 Wave equation for potentials.

7.2 Wave equation for fields.

7.3 Plane waves.

7.4 TE and TM polarized waves.

7.5 Green functions.

References.

Appendix A: Multivector and Dyadic Identities.

Appendix B: Solutions to Selected Problems.

Index.

About the Author.

About 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.

Reviews

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