English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The hybrid boundary-integral equation and finite-element method (BIE/FEM) is efficient for signal/power integrity analysis of multiple vias in a shared antipad (labeled as compact vias) in an arbitrarily shaped power/ground plate pair. According to field distribution between the parallel plate pair, the computation domain of plate pair is decomposed into via domains and plate domain by using a domain decomposition approach. The higher order modes in the proximity of the antipads, which attenuate exponentially along the propagating direction and are confined in the via domains, are calculated by 3-D FEM. On the other hand, in the region outside the via domains, namely, the plate domain, only the zero-order parallel plate modes need to be considered. The network parameters of the plate domain are solved by the boundary-integral method. By enforcing the field continuity conditions along with the segmentation interfaces between via domains and plate domain, the connection of the multi-mode networks of via domains and the impedance matrix of plate domain yields the S-parameter of the entire plate pair, which characterizes the complete noise coupling path from one via structure to another one. The accuracy and efficiency of the hybrid method are verified by comparing with a commercial full-wave solver.

Efficient Analysis of Compact Vias in an Arbitrarily Shaped Plate Pair by Hybrid Boundary-Integral and Finite-Element Method