Planar Discontinuity Modeling in 3D Space by Application of Reciprocity Theorem Combined with MGEC

Résumé

The 3D planar discontinuity presents several difficulties related to the volume mesh. The entire volume space must be taken into account even the smallest details. In this thesis, we propose a formulation based on the Reciprocity Theorem combined with the Generalized Equivalent Circuit Method (MGEC) to model a planar discontinuity of RF circuits which excited by a coaxial cable. The major advantage of this formulation is the fact to reduce the computational volume into a 2D ones in the discontinuity plane. Also, we focused on the calculation of the discontinuity between the excitation source and the planar structure to determine the exact behavior of the electric coaxial excitation model. The obtained current density, electric field distributions, and the input impedance are presented and discussed in the following Sections. An approximately good agreement of input impedance with those obtained by the simulator and measurement is shown. The 3D concept of hybridization is also proved by the modeling of microstrip antenna which connected to the conductor and excited by coaxial cable. Results obtained in the current density of antenna shown the existing of the discontinuity between antenna and conductor. As well as a mathematical formulation based on hybridization to model a microstrip filter.

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