An Efficient 3D-to-2D Reduction Technique for Frequency-Domain Layered Finite Element Analysis of Large-Scale High-Frequency Integrated Circuits

This paper proposes an efficient technique for reducing a 3D layered system matrix to a 2D layered one in the framework of the frequency-domain layered finite element method. This technique is capable of solving the volume-unknown based matrix equation in linear complexity, and hence reducing the complexity of 3D-to-2D reduction from O(M
³
) to O(M
²
), with M being the number of top/bottom surface unknowns in a single layer. The numerical procedure is rigorous without making any approximation. The technique applies to any arbitrarily-shaped multilayer IC problem. Numerical and experimental results have demonstrated its accuracy and efficiency.