HEAVISIDE OPERATIONAL CALCULUS IN ELECTROMAGNETIC IMAGE THEORY

The operational calculus originally introduced by Heaviside is shown t o be directly applicable to forming image principles for various elect romagnetic structures. the image expression is reduced to the compact form of a pseudo-differential operator applied to the original source function (for a point source this is the delta function). The final st ep is an interpretation of this result. For complicated operators an a pproximation can easily be done at this stage. The Heaviside method re places previously applied, often heuristic, identification processes b y a logical procedure. The method is first applied to symmetric and as ymmetric transmission-line problems because they arise from three-dime nsional physical problems. Two examples are worked through: the time-h armonic planar problem of two isotropic media and the elctrostatic pro blem of the sphere. Both examples give results which have been previou sly derived through more heuristic methods. A table of selected operat ional formulas is given as an appendix.