Modeling the electromagnetic behavior of parallel-plane interconnections

Vertical interconnections within parallel-plane structures as often encountered in electronic systems, may be responsible for signal-integrity issues and unintentional radiated emission. The analysis is based on an inductively-coupled equivalent-circuit model. For the required self- and mutual port inductances, exact closed-form expressions are presented. The investigation shows that the considered structure is inherently resonant at frequencies where the structure is still electrically small, depending on the number and the configuration of the ground interconnections. The radiated emission of the whole structure is determined from the capacitive current in the network model, based on a simple Hertzian-dipole radiation characteristic. The model is validated by numerical 3D full-wave field simulations and measurement.