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The Approximate Modal Interface-Solution Space Projection Method for Efficient Broadband Full-Wave Analysis of Multilayer Interconnection Structures

机译:多层互连结构有效宽带全波分析的近似模态接口解决方案空间投影方法

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In this paper we present an enhancement to our previously reported approximate modal interface-solution space projection (AMI-SSP) method [1], which is a combined domain decompostion-model order reduction method for efficient broadband full-wave analysis of multilayer printed circuits. With the AMI method, a multilayer circuit board can be analyzed layer by layer, which leads to a significant improvement in the computational efficiency. The method has been further combined with a multipoint model order reduction method, SSP [2], to achieve a fast frequency sweep. The AMI-SSP has been implemented with the finite-element method, which is well known for its excellent capability of analyzing complicated structures with arbitrary geometries and materials. The formulation in [1] assumed consistent meshes at an interface (via-holes, for example) between adjacent layers, and as a result posed a restriction on the mesh generation. There is no such a restriction in the enhanced method presented in this paper, and thus the mesh in each layer can be truly generated independently. Furthermore, depending on the geometry and complexity of interconnections, different types of elements or even different orders of basis functions can be applied in different layers as long as the same number of modes is used in the modal expansion at each interface. Some important properties of the enhanced AMI-SSP can be summarized as follows: 1) The AMI-SSP only yields the fields at via-holes and ports since volume fields are not necessary in the calculation of S-parameters. 2) The mesh in each layer can be generated independently without the need of consistent meshes on the two sides of an interface. 3) An independent interface system is generated for each layer, and therefore, when the circuit configuration in a certain layer changes, only that layer needs to be re-simulated. This makes the optimization of a circuit much more efficient.
机译:在本文中,我们提出了一种增强我们先前报告的近似模态界面的溶液空间投影(AMI-SSP)方法[1],其是用于多层印刷电路的高效宽带全波分析组合的域分解方法-模型降阶方法。用AMI方法,多层电路板可通过层进行分析层,这导致在所述计算效率的显著改善。该方法已经与多点模型降阶方法,SSP [2]被进一步组合,实现了快速的频率扫描。的AMI-SSP已经实现与有限元方法,该方法是公以其优良的分析具有任意的几何形状和材料复杂结构的能力是已知的。在制剂中[1]假设一致的网格在一个接口(通孔,例如)相邻层之间,并且作为结果造成在网格生成的限制。有在增强方法没有这样的限制在本文中呈现,并且因此在每一层网状才能真正独立地生成。此外,取决于几何形状和互连的复杂性,不同类型的元素或甚至基本函数不同的顺序可以在不同的层施加只要在每个界面处的模态扩展使用相同数量的模式。增强的AMI-SSP的一些重要性质可以总结如下:1)AMI-SSP仅产生字段在通孔和端口,因为体积字段不是必要的S参数的计算。 2)在每一层网状可以,而不需要上接口的双方一致网格的独立产生的。 3)一个独立的接口系统为每个层中产生,并且因此,当在某层的变化的电路结构,仅该层需要被重新模拟的。这使得电路的优化高效得多。

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