Comparing the Calderón and A-Φ formulation for lossy dielectric simulation at low frequency

Wei, Michael; Liu, Qin S.; Chew, Weng Cho

doi:10.1109/piers.2017.8261858

Cited by 2 publications

(2 citation statements)

References 11 publications

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“…Projectors based on a Helmholtz decomposition have also been developed for the case of perfect conductors [45]. However, the effectiveness of these techniques in the context of chip-and package-level structures is not clear; in some cases, the Calderón-preconditioned system of equations seems to become inaccurate for lossy objects [46].…”

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confidence: 99%

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Electromagnetic Modeling of Lossy Interconnects From DC to High Frequencies With a Potential-Based Boundary Element Formulation

Sharma,

Triverio

2021

Preprint

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The accurate electromagnetic modeling of both lowand high-frequency physics is crucial in the signal and power integrity analysis of electrical interconnects. The boundary element method (BEM) is appealing for lossy conductor modeling because it can capture the frequency-dependent variation of skin depth with only a surface-based discretization of the structure. Conventional BEM formulations rely on the mutual coupling of electric and magnetic fields, and can become inaccurate or unstable at low frequencies. We develop a new full-wave BEM formulation based on potentials which can accurately model lossy conductors from exactly DC to very high frequencies. A new set of simple boundary conditions is proposed along with a modified Lorenz gauge to ensure that the proposed formulation has a stable condition number down to DC. Moreover, coupling the potential-based integral equations to a circuit model allows the straightforward extraction of network parameters. Realistic numerical examples at both the chip and package level demonstrate the accuracy and stability of the proposed method from DC to high frequencies, beyond the capabilities of state-of-the-art BEM formulations based on fields.

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confidence: 99%

“…Boundary conditions on the potentials must be imposed carefully to ensure that unique solutions are found. The lossy case was briefly considered in [46], but without a mathematical description and only in the context of scattering.…”

mentioning

confidence: 99%

Electromagnetic Modeling of Lossy Interconnects From DC to High Frequencies With a Potential-Based Boundary Element Formulation

Sharma,

Triverio

2021

Preprint

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Electromagnetic Modeling of Lossy Interconnects From DC to High Frequencies With a Potential-Based Boundary Element Formulation

Sharma

Triverio

2022

IEEE Trans. Microwave Theory Techn.

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Comparing the Calderón and A-Φ formulation for lossy dielectric simulation at low frequency

Cited by 2 publications

References 11 publications

Electromagnetic Modeling of Lossy Interconnects From DC to High Frequencies With a Potential-Based Boundary Element Formulation

Electromagnetic Modeling of Lossy Interconnects From DC to High Frequencies With a Potential-Based Boundary Element Formulation

Electromagnetic Modeling of Lossy Interconnects From DC to High Frequencies With a Potential-Based Boundary Element Formulation

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