Finite element implementation of the generalized-Lorenz gauged A-Φ formulation for low-frequency circuit modeling

Yan Lin Li, Sheng Sun, Weng Cho Chew

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The A-Φ formulation with generalized Lorenz gauge is free of catastrophic breakdown at low frequencies. In the formulation, A and Φ are completely separated and Maxwell's equations are reduced into two independent equations pertinent to A and Φ, respectively. This, however, leads to more complicated equations in contrast to the traditional A-Φ formulation, which makes the numerical representation of the physical quantities challenging, especially for A. By virtue of the differential forms theory and Whitney elements, both A and Φ are appropriately represented. The condition of the resultant matrix system is wellcontrolled as frequency becomes low, even approaches to 0. The generalized-Lorenz gauged A-Φ formulation is applied to model low-frequency circuits at μm lengthscale.

Original languageEnglish (US)
Title of host publication2015 31st International Review of Progress in Applied Computational Electromagnetics, ACES 2015
PublisherApplied Computational Electromagnetics Society (ACES)
ISBN (Electronic)9780996007818
StatePublished - May 15 2015
Event31st International Review of Progress in Applied Computational Electromagnetics, ACES 2015 - Williamsburg, United States
Duration: Mar 22 2015Mar 26 2015

Publication series

NameAnnual Review of Progress in Applied Computational Electromagnetics
Volume2015-May

Other

Other31st International Review of Progress in Applied Computational Electromagnetics, ACES 2015
Country/TerritoryUnited States
CityWilliamsburg
Period3/22/153/26/15

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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