Direct Integration of Field Equations - Abstract

Abstract

In this work the integral expressions of the field equations in electrostatics, magnetostatic, and electrodynamics are derived first with the aid of a scale-vector Green's theorem. The results can be interpreted by the proper sets of potential functions. For the electrodynamic case we call attention to the fact that Schelkunoff's formulas derived by applying the equivalence principle are equivalent to Stratton and Chu's. The superior nature of Franz's formulas based on the method of dyadic Green Functions is then reviewed and shown to contain the missing line integrals deliberately added by Stratton and Chu, which are also missing in Schelkunoff's formula.