High-Order Sparse Matrix Nystrom Algorithm for the Analysis of Planar Microwave Circuits

摘要

The focus of this research has been on the development of a fast high-order solution method for the analysis of large scale printed microwave circuit devices. The method is based on a high-order sparse matrix/Nystrom (SM/ N) method. The goal is to develop a scheme that provides controllable accuracy, fast error convergence, and fast solutions for the simulation of large practical circuits. This intent of the 6 month STIR was to initiate this research and demonstrate a proof of concept. To this end, in this program we have developed a locally corrected Nystrom scheme that exhibits true high-order convergence for electromagnetic scattering simulations. This is demonstrated for both smooth objects, as well as objects with edge singularities. Secondly, in pursuant of a high-order scheme for the simulation of circuits printed in layered media, a fast computation of the Sommerfeld Green's functions to controllable accuracy has been developed.