A generalized CAD model for the full‐wave modelling of microstrip line and its regular and irregular discontinuities

Abstract

SUMMARYIn this paper we present a new theoretical model for the modelling of the microstrip line as well as two types of discontinuities: regular (open end, step, bend and T-and cross-junctions) and irregular (stub and bent-stub). The two-dimensional exact dyadic Green function of a grounded dielectric slab has been used with the Galerkin's technique. The subdivision of the discontinuity in a network of juxtaposed unit cells, characterized by their own longitudinal and transversal current distributions, allowed the treatment of a large class of irregular discontinuities in addition to the regular discontinuities. The obtained results have been commented and compared with those of different approaches and with experimental results where a good concordance has been observed.

Time-domain Formulation of a Multi-layer Plane Circuit Coupled with Lumped-parameter Circuits using Maxwell Equations

“…This calculation method enables us to visualize transient basic electromagnetic phenomena, such as propagation, reflection, and coupling with other conductors. We can also clarify the relationship between complex circuit shapes and electromagnetic phenomena observed in high-frequency filters, antennas, and meta-materials 21–23 . This calculation method will be important not only in elucidating electromagnetic noise phenomena but also in developing future advanced circuit design.…”

A generalized CAD model for the full‐wave modeling of Coplanar striplines discontinuities

“…The thickness of the metallization is assumed to be negligible in comparison with substrate thickness. Then, the surface current is assumed to flow only in the x ‐and y ‐directions in the strip 10–18.…”

“…Full‐wave results are generated using an electric‐field integral equation technique similar to 17, 18. Imposing the boundary condition requiring that the tangential electrical field components vanish on the surface of all conducting strips results in a set of integral equations.…”

“…In order to extract the S‐parameters, we excite, systematically, the discontinuity in all its ports by pulses of the gap generators localized at specified subsections. In this model, the excitation vector has values of zero everywhere except at the positions of the voltage sources 17: In order to write the system of equations1 (20) and (21) under simple adequate matrix shape, we define: …”