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The propagation of the common mode noise on high speed differential traces has an impact on EMI and crosstalk toward nearby traces and electronic devices. A common mode filter, based on a simple planar electromagnetic bandgap, can be easily designed for filtering well-defined harmonics of the propagating common mode signal. The common mode portion of the signal can be reduced through the coupling to the electromagnetic bandgap cavity. This phenomena is obtained at the gap in the reference layer between two adjacent cavities. The electromagnetic principles are introduced and a systematic analysis is carried out in this work investigating the filter performances. The effect of the number of gap crossings on the depth of the filtering band is investigated and a compact layout configuration is introduced for saving layout area.

In this work different physic based equivalent lumped element circuits models representing planar EBG structures are developed. Their results, in terms of evaluation of the lower and upper limits of the bandgap, are compared with a three dimensional simulation considered as reference. Guidelines for the use of these models for their use in planar EBG design are developed.

The paper studies the signal integrity performances of a microstripline routed over a planar EBG structure. The fundamental mechanisms of the coupling between the signal transmitted along the trace and the resonant properties of the same structure are investigated.

This paper presents a new methodology for the transient analysis of nano-interconnects, modeled as lossy and dispersive multiconductor transmission lines. The proposed model is derived from the solution of the Telegrapher's equations in the framework of the Sturm-Liouville theory. The open-ended impedance matrix is expressed in a series form as sum of infinite rational functions, derived by the series form of the Green's function. Hence, a pole-residue rational model can be synthesized and a reduced order model is generated by a simple selection of dominant poles. The numerical results confirm the robustness of the proposed technique.