Construction of the differential surface admittance operator with an extended Fokas method for electromagnetic scattering at polygonal objects with arbitrary material parameters

Bosman, Dries; Huynen, Martijn; Zutter, D. De; Ginste, Dries Vande

doi:10.1016/j.camwa.2022.10.011

Cited by 4 publications

(5 citation statements)

References 31 publications

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“…where Y is the desired DSA operator. In [23], we demonstrated in full detail how this operator can be constructed for polygonal structures by means of an extended Fokas method for the Helmholtz equation with complex wavenumber. For conciseness, we only restate the final result here, viz., the discretized version of (2), in terms of local, pulse-shaped basis functions b i :…”

Section: A Inductance Problemmentioning

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]. In this paper, we substantially extend our technique [21] to enable the characterization of these interconnects in terms of their p.u.l.…”

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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Section: A Inductance Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Ginste¹

2023

Preprint

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“…where Y is the desired DSA operator. In [27], we demonstrated in full detail how this operator can be constructed for polygonal structures by means of an extended Fokas method for the Helmholtz equation with complex wavenumber. For conciseness, we only restate the final result here, viz., the discretized version of (2), in terms of local, pulse-shaped basis functions b i :…”

Section: A Inductance Problemmentioning

confidence: 99%

“…To analyze the characteristic behavior of the interconnect, we extract its p.u.l. parameters and determine the slowwave factor (27), the attenuation (28), and the characteristic impedance (29). The corresponding plots are shown in Figs.…”

Section: Ridge-type Coplanar Waveguidementioning

confidence: 99%

“…In an earlier conference paper [25], 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 [15] derived with the Fokas method [26], [27], which solves the relevant integral equation without relying on quadrature rules. In this paper, we substantially extend our technique [25] to enable the characterization of these interconnects in terms of their p.u.l.…”

Section: Introductionmentioning

confidence: 99%

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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.

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References

2024

Theory and Computation of Electromagnetic Fields in Layered Media

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Construction of the differential surface admittance operator with an extended Fokas method for electromagnetic scattering at polygonal objects with arbitrary material parameters

Cited by 4 publications

References 31 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

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

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