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Modal Based BGA Modeling in High-Speed Package

机译：高速封装中基于模态的BGA建模

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摘要

In the Section 1, the improved "Root-Omega" method for extracting dielectric properties from fabricated multilayer printed circuit boards is proposed. Based on the electrical properties of fabricated transmission lines, the improved "Root-Omega" method applied to cases with smooth and rough conductors is validated using simulations. Error sensitivity analysis is performed to demonstrate the potential errors in the original "Root-Omega" procedure and the error sensitivity is significantly reduced by the proposed improvements.;In the Section 2, a fast modal-based approach is developed to accurately and efficiently capture the proximity effect. Image theory is also applied in the proposed approach to reduce the computational domain from 3D structure to 2D. The matrix reduction approach is applied to obtain the physical loop inductance. The lumped capacitance is obtained. A ? topology equivalent circuit model for the BGA structure is built. Good agreement between the equivalent circuit model and full wave simulation can be achieved up to 40GHz.;In the Section 3, the proximity effect for BGAs between parallel plates is carefully considered. A modal-based cavity method is proposed to extract the partial inductance of two parallel plates. The modal basis function is used to count for the non-uniformly distributed current density. The physical loop inductance is further obtained from the matrix reduction approach. The extracted physical loop inductance is validated with a commercial finite element method-based tool. The boundary effect is demonstrated in the inductance extraction. The proposed method is used to optimize for the power distributed network design.
机译：在第1节中，提出了一种改进的“ Root-Omega”方法，用于从制造的多层印刷电路板中提取介电特性。根据所制造的传输线的电气特性，通过仿真验证了适用于具有平滑和粗糙导体的情况的改进“ Root-Omega”方法。进行了错误敏感性分析，以证明原始“ Root-Omega”程序中可能存在的错误，并且通过所提出的改进显着降低了错误敏感性。；在第2节中，开发了一种基于快速模态的方法来准确有效地捕获邻近效应。在提出的方法中还应用了图像理论，以将计算域从3D结构减少到2D。应用矩阵约简方法来获得物理环路电感。获得集总电容。一个 ？建立了BGA结构的拓扑等效电路模型。在高达40GHz的频率下，等效电路模型与全波仿真之间可以达成良好的一致性。在第3节中，仔细考虑了BGA在平行板之间的邻近效应。提出了一种基于模态的腔法来提取两个平行板的局部电感。模态基函数用于计算不均匀分布的电流密度。物理环路电感进一步从矩阵约简方法获得。使用基于商业有限元方法的工具验证提取的物理环路电感。边界效应在电感提取中得到了证明。所提出的方法用于优化配电网设计。

著录项

  • 作者

    Jin, Shuai.;

  • 作者单位

    Missouri University of Science and Technology.;

  • 授予单位 Missouri University of Science and Technology.;
  • 学科 Electromagnetics.;Electrical engineering.
  • 学位 Ph.D.
  • 年度 2017
  • 页码 91 p.
  • 总页数 91
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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