ABSTRACT
This chapter demonstrates the differential-form formalism aided by suitably extended dyadic algebra can be applied to the analysis of electromagnetic fields in various bi-anisotropic media. Certain classes of media could be defined in simpler terms when compared to their definition in classical Gibbsian vector analysis. Main points in the analysis of fields in these media, treated more extensively in previous articles found in the list of references, were given and their connection to the corresponding studies using the classical Gibbsian analysis were briefly pointed out. Application of differential forms in electromagnetic analysis requires some skill in using various identities in multivector and dyadic algebra. In the literature the notation varies slightly from author to author. The significance of the class of self-dual media is in the certain transformations can be made for the sources and fields without changing the medium. This allows one to find a larger number of solutions for the field problem in that medium.
