CAREER: Full Wave Analysis of Electronic Packaging on High Performance Computers

近年来，半导体器件的速度和密度急剧增加，导致具有数百万晶体管的单芯片器件，时钟速度接近500 MHz的数字器件，以及工作频率高达250 MHz的微波器件。为了支持如此高速的设备，电子封装，即支持半导体设备的电气互连网络，必须小型化，并优化其设计以保持信号完整性。因此，制定严格的方法来准确分析和设计电子封装的电气互连网络至关重要。本研究将开发完整的波分析工具，这是能够分析实际的大规模电子封装的数字电路和微波电路应用。为此，主要目标是：1)提供密集电子封装的全波电磁场分析能力。2)利用高阶基函数和小波展开，给出麦克斯韦方程组的显式和隐式时域解。3)利用时域有限差分法和时域有限单元法对麦克斯韦方程组进行显式/隐式混合求解。4)将完全匹配层（PML）边界条件扩展到基于非结构化网格的显式和隐式时域格式。5)为异构分布式多处理器计算环境的隐式和显式方案以及显式/隐式混合方法开发创新的并行算法。6)建立行业分支机构，指导全波仿真工具的实际应用，并为这些工具在设计环境中的应用提供测试平台。教学工作将首先集中于修改现有的电磁学课程。这项工作的目标是通过使用交互式软件工具箱和开发案例研究库为学生提供应用知识，这些案例研究库可用于本科和研究生水平的教学目的。这将使学生对电磁场和波的相互作用有更好的物理理解，通过将电磁场和波的相互作用可视化，通过将现实世界中的物理现象可视化。此外，通过案例研究，学生将获得更好的电磁学应用知识。最后，多处理器计算机在工业上变得越来越经济，并将越来越多地用于工程设计。然而，只有少数工程师和计算机科学家接受过在这些平台上开发软件的培训。我们的目标之一是提供一门并行计算基础课程，并提供使用多种平台和范例进行并行算法开发的实际经验。本课程将是跨学科的，将为肯塔基州一些大学的工程专业学生以及工业工程师提供并行算法开发和并行范式的基础和实践理解。＊＊＊

9624628 Gedney In recent years, the speeds and densities of semiconductor devices have increased dramatically, resulting in single chip devices with millions of transistors, digital devices operating with clock speeds approaching 500 MHz, and microwave devices with operating frequencies upwards to 250. In order to support such high speed devices, the electronic packaging, namely, the electrical interconnect networks supporting the semiconductor devices, must be miniaturized and their design optimized to maintain signal integrity. Therefore, it is vital to develop rigorous methods to accurately analyze and design electrical interconnect networks of electronic packages. This research effort will develop full wave analysis tools that this is capable of analyzing practical large scale electronic packages for digital circuit and microwave circuit applications. To this end, the principal objectives are: 1) To provide the capability of full-wave electromagnetic field analyses of dense electronic packages. 2) Develop explicit and implicit time-domain solutions of Maxwell's equations specifically using higher-order basis functions, and also utilizing Wavelet expansions. 3) Develop a hybrid explicit/implicit solution of Maxwell's equations using the finite-difference time domain and finite-element time-domain methods. 4) Extend the perfectly matched layer (PML) boundary condition to explicit and implicit time-domain schemes based on unstructured meshes. 5) Develop innovative parallel algorithms for implicit and explicit schemes for heterogeneous distributed multiprocessor computing environments, and for hybrid explicit/implicit methods. 6) Establish industrial affiliates to mentor the practical applications of the full-wave simulation tools and to provide test beds for these tools to be applied in a design environment. The teaching effort will initially focus on the modification existing courses in electromagnetics. The objective of this effort is to provide an applied knowledge to students through the use of interactive software toolboxes and the development of a case study library that can be presented for instructional purposes at the undergraduate and graduate level. This will enable students to have a better physical understanding of electromagnetic field and wave interactions by being able to visualize understanding of electromagnetic field and wave interactions by being able to visualize the physical phenomena in real world applications. Furthermore, through case studies, students will be provided with a better applied knowledge of electromagnetics. Finally, multiprocessor computers are reaching the point where they are becoming economical for industry and will be used more and more in engineering design. However, only a select few engineers and computer scientists are trained on development of software on these platforms. On of the goals will be to provide a course in the fundamentals on parallel computing, with hands on experience of parallel algorithm development using a number of platforms and paradigms. This course will be cross-disciplinary and will provide a foundation and practical understanding of parallel algorithm development and parallel paradigms to engineering students at a number of Universities as well engineers in Industry in the Commonwealth of Kentucky. ***