Coupled noise analysis for adjacent vias in multilayered digital circuits

The electromagnetic coupling between two adjacent vias in a multilayered integrated circuit is analyzed by means of equivalent magnetic frill array models incorporated with the even- and odd-mode approach. Closed-form expressions for the coupled noise on the passive via are derived. The coupling responses in the frequency domain and crosstalk waveforms in the time domain for some multilayered via structures are calculated based on these formulas. A 4-layer experimental model is constructed and measurements are taken for the transmission, reflection, and coupling responses. The measurements show good agreement with the calculated results over a frequency range of up to 18 GHz.<
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