Differential Forms in Electromagnetics (IEEE Press Series on Electromagnetic Wave Theory)

Differential Forms in Electromagnetics replaces classical Gibbsian vector calculus with the mathematical formalism of differential forms. 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. By doing so, the book examines problems of general linear electromagnetic media of engineering interest instead of only simple vacuum problems, which is an area of intense interest for those involved in research on metamaterials.