Padé via Arnoldi with single‐size matrix simplification for electromagnetic fast frequency sweep

Abstract

This paper proposes a new Padé via Arnoldi algorithm with single‐size matrix simplification for electromagnetic (EM) fast frequency sweep. New equations are derived to reduce the double‐size system matrix to single‐size system matrix. We also propose a systematic algorithm to calculate S‐parameters using the simplified single‐size system matrix. Using the proposed algorithm, the EM responses can be obtained with the same accuracy while consuming much less time compared with that using the existing double‐size matrix Padé via Lanczos. The proposed algorithm is demonstrated by two microwave examples.