Proc. Inst. Elec. Eng., vol. 142, no. 4, pp. 326β332, 1995.<br/>This paper develops a new representation for electromagnetic boundary conditions involving a boundary projection operator defined using the interior and exterior products of the calculus of differential forms. This operator expresses bo
Electromagnetic Green Functions Using Differential Forms
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J. Electromagn. Waves and Appl., vol. 10, no. 3, pp. 427β438, 1996.
Authors redevelop the scalar and dyadic Green functions of electromagnetic theory using differential forms. The Green dyadic becomes a double form, which is a differential form in one space with coefficients that are forms in another space, or a differential form-valued form. The results presented here correspond closely with the usual dyadic treatment, but are clearer and more intuitive.
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The calculus of differential forms has significant advatages over traditional methods as a tool for teaching electromagnetic (EM) field theory. First, forms clarify the realationship between field intnsity and flux density, by providing distinct mathematical and graphical representations for the two