Concise and Compatible MOR-Based Self-Adjoint EM Sensitivity Analysis for Fast Frequency Sweep

Feng, Feng; Xue, Jianguo; Zhang, Jianan; Li, Mutian; Liu, Wei; Zhang, Qi‐Jun

doi:10.1109/tmtt.2023.3248167

Cited by 5 publications

(2 citation statements)

References 40 publications

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“…To accelerate this repetitive process, various model order reduction (MOR) techniques [2][3][4] have been introduced, such as the asymptotic waveform evaluation, 5,6 the Arnoldi method, 7 the matrix Padé via Lanczos (MPVL). [8][9][10] With MOR techniques, only the large system of EM equations at a single frequency needs to be solved. EM solutions at other frequencies can be approximately calculated by solving much smaller matrices instead of the large system of EM equations.…”

Section: Introductionmentioning

confidence: 99%

“…Since the FEM equations are formulated with respect to frequency, repetitive analysis of large FEM systems has to be performed for different frequencies. To accelerate this repetitive process, various model order reduction (MOR) techniques 2–4 have been introduced, such as the asymptotic waveform evaluation, 5,6 the Arnoldi method, 7 the matrix Padé via Lanczos (MPVL) 8–10 . With MOR techniques, only the large system of EM equations at a single frequency needs to be solved.…”

Section: Introductionmentioning

confidence: 99%

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

Ma,

Zhang,

Jin

et al. 2023

Micro & Optical Tech Letters

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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.

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