Novel single-source integral equation for inductance extraction in transmission lines embedded in lossy layered substrates

Zheng, Shucheng; Menshov, Anton; Okhmatovski, Vladimir

doi:10.1109/mwsym.2016.7540419

Cited by 3 publications

(1 citation statement)

References 4 publications

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“…parameters in interconnect problems involving both dielectric and magnetic contrast. As we aim to achieve broadband results for lossy interconnects, we leverage a (quasi-)TM modal analysis, as presented and thoroughly validated in [24], [25], and [26]. The formalism supports arbitrary configurations consisting of multiple combined rectangular cross sections, even when they are composed of various materials.…”

Section: Introductionmentioning

confidence: 99%

Analysis and Application of a Surface Admittance Operator for Combined Magnetic and Dielectric Contrast in Emerging Interconnect Topologies

Bosman

Huynen

Zutter

et al. 2023

IEEE Trans. Microwave Theory Techn.

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In state-of-the-art interconnect design, topologies including magnetic materials, such as the so-called superlattice conductors, are rapidly emerging as a novel strategy to handle the challenges associated with the evolution toward higher operating frequencies and integration densities. Consequently, it is imperative that the newly developed full-wave electromagnetic solvers rigorously model these innovative materials and still accurately capture phenomena such as the skin and proximity effect in good conductors. In this article, we propose such a method to rigorously characterize this important class of interconnects with arbitrary, possibly frequency-dependent, material properties, including combined dielectric and magnetic contrast. To that end, a 2-D differential surface admittance (DSA) operator is used, which invokes a single-source equivalence theorem to model both nonmagnetic and magnetic conductors efficiently. This operator is combined with the electric field integral equation (EFIE), yielding a comprehensive formalism to extract the pertinent per-unit-of-length (p.u.l.) resistance and inductance parameters of the modeled structures. The numerical properties of our technique are studied in detail, with particular attention to the influence of magnetic materials. Finally, various relevant application examples are considered to establish its correctness and versatility.

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Section: Introductionmentioning

confidence: 99%

Analysis and Application of a Surface Admittance Operator for Combined Magnetic and Dielectric Contrast in Emerging Interconnect Topologies

Bosman

Huynen

Zutter

et al. 2023

IEEE Trans. Microwave Theory Techn.

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Novel single-source integral equation in electromagnetics

Okhmatovski

Menshov

Hosseini

et al. 2016

2016 URSI International Symposium on Electromagnetic Theory (EMTS)

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Single-source formulation for the analysis of electromagnetic penetrable objects

Ameri

Faraji‐Dana

2020

J. Opt. Soc. Am. B

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Modified global surface impedance (MGSI) formulation, a fast and efficient single-source integral equation for analyzing penetrable objects including plasmonic circuits and dielectric periodic structures, is proposed. Using the equivalence principle, a single-source formulation for the exterior region of the desired problem is constructed. Then the assumed equivalent source (surface electric current) is written as the sum of two surface electric currents, one related to the other based on the global surface impedance (GSI) model. Thus, the conventional surface integral equation (SIE) for the exterior problem will be modified by this new single-source formulation. The interior problem is also formulated using the GSI model resulting in our proposed MGSI formulation. MGSI eliminates the need for equivalent magnetic current in the SIE formulation. It also helps one to formulate the interior and exterior problems independently. Moreover, in our approach material property does not affect the problem convergence behavior, while the convergence behavior of the conventional SIE deteriorates for a plasmonic structure and also for a dielectric object with high contrast to its surrounding medium. The accuracy and efficiency of the proposed formulation are demonstrated by comparing its results with the conventional SIE in solving several two-dimensional examples.

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Novel single-source integral equation for inductance extraction in transmission lines embedded in lossy layered substrates

Cited by 3 publications

References 4 publications

Analysis and Application of a Surface Admittance Operator for Combined Magnetic and Dielectric Contrast in Emerging Interconnect Topologies

Analysis and Application of a Surface Admittance Operator for Combined Magnetic and Dielectric Contrast in Emerging Interconnect Topologies

Novel single-source integral equation in electromagnetics

Single-source formulation for the analysis of electromagnetic penetrable objects

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