Interconnect Modeling using a Surface Admittance Operator Derived with the Fokas Method

Bosman, Dries; Huynen, Martijn; Zutter, D. De; Sun, Xiao Wei; Pantano, Nicolas; Plas, G. Van der; Beyne, Eric; Ginste, Dries Vande

doi:10.1109/epeps53828.2022.9947108

Cited by 3 publications

(15 citation statements)

References 7 publications

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“…the wavelength. We briefly summarize the main results of [21] in Section II-A and demonstrate the novel, Fokas-based solution of the capacitance problem in Section II-B.…”

Section: Formulation Of the Methodsmentioning

confidence: 99%

“…As such, the DtN matrix D in the Legendre domain is determined. Note that the λ-values (26) are optimized for the Laplace equation [24] and differ from the set used for the inductance problem [21]. More specifically, for each side m, the associated collocation points λ are chosen such that the terms pertaining to this particular side are dominant in (24).…”

Section: Construction Of the Dtn Operator For The Capacitance Problemmentioning

confidence: 99%

“…As a final example, we revisit the multiconductor transmission line we considered earlier in [21], but now add a lossy dielectric slab (ϵ r = 4, tan δ = 0.01). The trapezoidal signal lines and the rectangular reference conductor consist of a metal with conductivity σ = 3.57 × 10 7 S/m and relative permeability µ r ∈ {1, 10}.…”

Section: E Crosstalk In a Multiconductor Transmission Linementioning

confidence: 99%

“…In an earlier conference paper [21], we proposed a novel method to extract the p.u.l. resistance and inductance of a multiconductor transmission line with polygonal crosssections, applying a DSA operator [12] derived with the Fokas method [22], [23].…”

Section: Introductionmentioning

confidence: 99%

“…resistance and inductance of a multiconductor transmission line with polygonal crosssections, applying a DSA operator [12] derived with the Fokas method [22], [23]. In this paper, we substantially extend our technique [21] to enable the characterization of these interconnects in terms of their p.u.l. capacitance and conductance as well, representing the dielectric media by means of a dedicated Dirichlet-to-Neumann (DtN) operator that is once more constructed using the Fokas method.…”

Section: Introductionmentioning

confidence: 99%

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Efficient Characterization of Interconnects with Arbitrary Polygonal Cross-sections using Fokas-derived Dirichlet-to-Neumann Operators

Ginste¹

2023

Preprint

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<p>A novel technique to accurately characterize interconnects with general, piecewise homogeneous material parameters and arbitrary polygonal cross-sections is presented. To compute the per-unit-of-length complex inductance and capacitance matrices of the considered structures, we apply a boundary integral equation framework, invoking a Dirichlet-to-Neumann formalism to recast the problem at hand. The pertinent operators are constructed by means of the numerically fast Fokas method. Numerical examples of various multiconductor transmission lines demonstrate that our proposed scheme is flexible and precise. Since our method is not limited to rectangular cross-sections, manufacturing effects such as etching can also be taken into account. Moreover, the examples are not restricted to RLGC-data as we also consider signal attenuation, slow-wave factors and cross-talk.</p>

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“…the wavelength. We briefly summarize the main results of [21] in Section II-A and demonstrate the novel, Fokas-based solution of the capacitance problem in Section II-B.…”

Section: Formulation Of the Methodsmentioning

confidence: 99%

Section: Construction Of the Dtn Operator For The Capacitance Problemmentioning

confidence: 99%

Section: E Crosstalk In a Multiconductor Transmission Linementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Efficient Characterization of Interconnects with Arbitrary Polygonal Cross-sections using Fokas-derived Dirichlet-to-Neumann Operators

Ginste¹

2023

Preprint

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Fokas Based Dirichlet-to-Neumann Operators for Accurate Signal Integrity Assessment of Interconnects

Huynen,

Bosman,

De Zutter

et al. 2023

2023 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO)

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In this contribution, we present a new approach to fully characterize interconnects composed out of arbitrary polygonal cross-sections and containing piecewise homogeneous material parameters. The complex per-unit-of-length inductance and capacitance matrices are obtained through the application of pertinent Dirichlet-to-Neumann operators, which are computed by means of an extended Fokas method, that are integrated in a boundary integral equation approach. As the complete RLGC-data of the structures under study is computed, we are able to assess relevant properties such as signal attenuation and cross-talk while the support for polygonal shapes allows for the inclusion of manufacturing effects such as etching.

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Efficient Characterization of Interconnects With Arbitrary Polygonal Cross Sections Using Fokas-Derived Dirichlet-to-Neumann Operators

Bosman,

Huynen,

De Zutter

et al. 2023

IEEE Trans. Compon., Packag. Manufact. Technol.

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A novel technique to accurately characterize interconnects with general, piecewise homogeneous material parameters and arbitrary polygonal cross-sections is presented. To compute the per-unit-of-length complex inductance and capacitance matrices of the considered structures, we apply a boundary integral equation framework, invoking a Dirichletto-Neumann formalism to recast the problem at hand. The pertinent operators are constructed by means of the numerically fast Fokas method, leveraging fully analytical expressions for the pertinent matrix elements. Numerical examples of various multiconductor transmission lines demonstrate that our proposed scheme is flexible and precise. Since our method is not limited to rectangular cross-sections, manufacturing effects such as etching can also be taken into account. Moreover, the examples are not restricted to RLGC-data as we also consider signal attenuation, slow-wave factors and cross-talk.

show abstract

Interconnect Modeling using a Surface Admittance Operator Derived with the Fokas Method

Cited by 3 publications

References 7 publications

Efficient Characterization of Interconnects with Arbitrary Polygonal Cross-sections using Fokas-derived Dirichlet-to-Neumann Operators

Efficient Characterization of Interconnects with Arbitrary Polygonal Cross-sections using Fokas-derived Dirichlet-to-Neumann Operators

Fokas Based Dirichlet-to-Neumann Operators for Accurate Signal Integrity Assessment of Interconnects

Efficient Characterization of Interconnects With Arbitrary Polygonal Cross Sections Using Fokas-Derived Dirichlet-to-Neumann Operators

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