Differential Forms in ElectromagneticsISBN: 978-0-471-64801-7
Hardcover
253 pages
April 2004, Wiley-IEEE Press
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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.
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