Abstract

Exact image theory, applicable to the analysis of plane-stratified structures, is reviewed in general form and expressions corresponding to the microstrip geometry are given. It is seen that essential in this method is the calculation of two scalar Green functions, responsible for the effect of the geometry for the field. Exact expressions for these Green functions are found for the microstrip in terms of integrals of special functions. The Green functions are needed in the formulation of electric field integral equations for the surface currents of the microstrip. The Green functions are shown to possess the same type of singularity as the free-space Green function and also a similar limit when the distance grows larger, with the exception of a waveguide-mode term, which can be easily evaluated separately. Simple approximate expressions for the Green functions are evaluated, suitable for practical analysis of microstrip structures.

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