Mode-decomposition-based Equivalent Via (MEV) Model and MEV Model Application Range Analysis

The mode-decomposition-based equivalent via (MEV) model is proposed in this paper, which is a physics-based equivalent model for the high-speed channel modeling. The application ranges of the MEV model are analyzed by varying anti-pad radius, via radius, and distance between the parallel plates for a single via with multiple layers. Based on the S-parameter comparison with full-wave simulations, the MEV model is useful for the insertion loss calculation up to 100 GHz. Meanwhile, the return loss from the MEV model shows a high level of correlation with full-wave simulation results up to 70GHz, even when the anti-pad radius is larger than the commonly used size. The parallel-plate height has a negligible impact on the accuracy of the MEV model. This paper demonstrates the large application range of the MEV model and verifies that MEV model is suitable for practical high-speed via analysis.