APPLICATION OF DIFFERENTIAL FORMS TO MAXWELL’S EQUATIONS

Abstract

In this research we discussed the application of differential form to Maxwell’s equations. Maxwell's equations, which depict classical electromagnetic theory, are pulled apart and brought together into a modern language of differential geometry. A background of vector fields and differential forms on a manifold is introduced, as well as the Hodge star operator, which eventually lead to the success of rewriting Maxwell's equations in terms of differential forms. In order to appreciate the beauty of differential forms, we first review these equations in covariant form which are shown afterwards to be consistent with the differential forms when expressed explicitly in terms of components. I declaration , the undersigned, hereby declare that the work contained in this research is my original work, and that any work done by others or by myself previously has been acknowledged and referenced accordingly.