An Efficient and Accurate SIE Formulation with Loop Analysis for Arbitrary-Shaped Interconnects

A novel method is proposed for extracting the impedance of interconnects in packages. This method uses the magneto-quasi-static (MQS) surface integral equation (SIE) formulation with loop analysis. By using graph theory, the loop analysis is developed with a set of unknowns that are independent and complete, which can reduce the complexity of the final matrix equation. The pre-corrected fast Fourier Transform (pFFT) algorithm is carried out to speed up the matrix-vector product. To validate the proposed method, a real-life example in packages is presented. The results show that the proposed method can accurately and flexibly model complex interconnects in packages compared to the existing industrial solver.