New 3D Aware Formulation of MoM-GEC Method for Studying Planar Structures with Vertical Sources

Abstract

This paper proposes a generalization of the MoM-GEC method [1] needed for studying planar structures excited with a source located at perpendicular plan relative to circuit plan. A general formulation is detailed to allow modeling excitation of a planar structure with one or more sources located in plans other than the circuit plan. The numerical approach elaborated is based on the definition of new admittance operators and rotational transformations describing the transition from one plan to another. To validate this approach, we consider the case of a single source located in the perpendicular plan to the circuit.

Study of planar structure applying reciprocity technique combined with MGEC and analysis of discontinuity

“…Nevertheless, the comparison of the previous expressions of input impedance is not possible with one port excitation source. While, it is necessary to couple the source with the microstrip resonator, for this reason, we will introduce the technique of coupling of two port network described by the mathematical expression, which is named “homographical relation.” This technique was used by many researches, in different forms order to correct the numerical values of input impedance given by Equations .…”