Efficient Full-Wave Analysis of Multilayer Interconnection Structures Using a Novel Domain Decomposition–Model-Order Reduction Method

A novel domain decomposition-model-order reduction method is proposed for efficient full-wave finite-element analysis of multilayer interconnection structures. By considering the special properties of a multilayer structure, the field at each nonmetallic interface (via-holes or other apertures) can be approximated with a modal expansion to establish a boundary condition and decompose the entire computational domain into separate layers. The coupling between each dielectric layer is taken into account through a mode-matching process. To further speed up the computation in each layer, the solution space projection, which is a multipoint model-order reduction method, is integrated into the aforementioned domain decomposition method to form a complete solution algorithm. With the aid of reduced-order models, the domain decomposition process at each frequency is accelerated and a fast broadband analysis is achieved. This domain decomposition-model-order reduction method, called approximate modal interface-solution space projection, is implemented using the finite-element method and validated through several examples, which demonstrate the efficiency of the method in both the computation time and memory usage.