论文标题
带有三角离散和循环分析的SIE公式，用于提取任意形状的互连的参数
An SIE Formulation with Triangular Discretization and Loop Analysis for Parameter Extraction of Arbitrarily Shaped Interconnects
论文作者
论文摘要
提出了在磁质量静态假设下的表面积分方程（SIE）公式，以有效，准确地模拟包装中任意形状的互连。通过将所有电磁量转移到电路元件中，循环分析用于仔细构建基于图理论的独立且完整的未知组集矩阵方程。另外，开发了有效的预处理，并通过预校正的快速傅立叶变换（PFFT）加速了所提出的公式。进行了四个实际示例，包括矩形金属互连，边界线阵列，现实生活电路中的互连以及包装中使用的功率分配网络（PDN），以验证其准确性，效率和可扩展性。结果表明，所提出的配方是准确，有效且灵活的，可以模拟包装中的复杂互连。
A surface integral equation (SIE) formulation under the magneto-quasi-static assumption is proposed to efficiently and accurately model arbitrarily shaped interconnects in packages. Through decently transferring all electromagnetic quantities into circuit elements, the loop analysis is used to carefully construct matrix equations with an independent and complete set of unknowns based on graph theory. In addition, an efficient preconditioner is developed, and the proposed formulation is accelerated by the pre-corrected Fast Fourier Transform (pFFT). Four practical examples, including a rectangular metallic interconnect, bounding wire arrays, interconnects in a real-life circuit and the power distribution network (PDN) used in packages, are carried out to validate its accuracy, efficiency and scalability. Results show that the proposed formulation is accurate, efficient and flexible to model complex interconnects in packages.
