Spurious Modes in Model Order Reduction in Variational Problems in Electromagnetics

Valentin De La Rubia; David Young; Grzegorz Fotyga; Michał Mrozowski

doi:10.1109/tmtt.2022.3205597

Spurious Modes in Model Order Reduction in Variational Problems in Electromagnetics

Abstrakt

In this work, we address an everlasting issue in 2 model order reduction (MOR) in electromagnetics that has 3 remained unnoticed until now. Contrary to what has been 4 previously done, we identify for the very first time spurious 5 modes in MOR for time-harmonic Maxwell’s equations and 6 propose a methodology to remove their negative influence on the 7 reduced order model (ROM) response. These spurious modes 8 have nonzero resonance frequency and may have shown up 9 in the past giving rise to spikes in the frequency response, 10 in effect, deteriorating the accuracy and efficiency of the MOR 11 process. However, they were never characterized as spurious 12 mode contributions, rather they were most likely considered 13 as poor localized approximation issues in the MOR process. 14 When we try to get further physical insights from the ROM, 15 rather than simple frequency domain data, we cannot afford 16 any poorly localized approximation issue, that is, any spurious 17 mode in the band of analysis. Otherwise, these mathematical, 18 but nonphysical, modes will mislead the physical behavior of the 19 device under analysis. A computationally inexpensive variational 20 divergence condition is established to identify spurious modes in 21 the band of analysis, since any physical in-band mode must be 22 divergence-free. In addition, once a spurious mode is identified in 23 the band of analysis, its influence is removed from the ROM by 24 a physics-based coupling strategy. As a result, a robust spurious 25 mode contribution-free MOR in electromagnetics is proposed. 26 Finally, several actual microwave circuits, such as a quad-mode 27 filter and a triple-mode triple-band filter, will illustrate the 28 capabilities and efficiency of the proposed approach.

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Autorzy (4)

Valentin De La Rubia Phd
- Universidad Politécnica de Madrid
David Young
- Huawei Technologies Sweden
Grzegorz Fotyga dr hab. inż.
Michał Mrozowski prof. dr hab. inż.

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Słowa kluczowe

COMPUTER-AIDED ENGINEERING, DESIGN 30 AUTOMATION, FINITE-ELEMENT METHODS, GALERKIN METHOD, MICROWAVE 31 CIRCUITS, REDUCED BASIS METHODS, REDUCED ORDER SYSTEMS, SPURIOUS 32 MODES. 33 I

Informacje szczegółowe

Kategoria:

Publikacja w czasopiśmie

Typ:

artykuły w czasopismach

Opublikowano w:

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES nr 70, strony 5159 - 5171,
ISSN: 0018-9480

Język:

angielski

Rok wydania:

2022

Opis bibliograficzny:

Rubia V. D. L., Young D., Fotyga G., Mrozowski M.: Spurious Modes in Model Order Reduction in Variational Problems in Electromagnetics// IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES -Vol. 70,iss. 11 (2022), s.5159-5171

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