A Novel Vectorial Unified Transform for the Full-Wave Broadband Characterization of On-chip Passives
We present a novel framework for deriving the three-dimensional (3-D) differential surface admittance (DSA) operator. The approach is based on a new unified transform method for the 3-D vector Helmholtz equation. This formulation enables a broader applicability than existing DSA derivation techniques, without compromising its accuracy. The effectiveness of the proposed method is verified through […]
Bridging the AC Non-Equilibrium Green’s Function Formalism and Transmission Line Models for the Analysis of Nanointerconnects
The unfavorable scaling of Cu interconnects at nanoscale dimensions has prompted the search for alternative materials. To model electron transport in these novel nanointerconnects, both steady-state non-equilibrium Green’s function (NEGF) techniques and transmission line (TL) models have been employed. While steady-state NEGF enables a first-principles analysis of the transmission through realistic nanostructures, it cannot capture […]
Conservative fourth-order accurate finite-difference scheme to solve the (3+1)D tilted Dirac equation in strained Dirac semimetals
Owing to their increased electron mobility compared to conventional semiconductors, three-dimensional (3D) Dirac semimetals are considered to be promising candidates for integration into next-generation electronic devices. In these materials, the low-energy dynamics of the charge carriers are governed by an effective tilted Dirac equation, in which a mass term appears when strain is applied to […]
Broadband Impedance Response Extraction of On-Chip Interdigital Capacitors using a 3-D DSA Operator for Piecewise Homogeneous Structures
In this contribution, an enhanced 3-D differential surface admittance operator is proposed, facilitating accurate modeling of piecewise homogeneous cuboidal objects. By exploiting the analytical properties of entire-domain basis functions, material interfaces are effectively eliminated from the formulation, leading to a reduction in the number of unknowns without compromising the accuracy of the operator. After a […]
Broadband Electromagnetic Modeling of On-Chip Passives Using a Differential Surface Admittance Operator for 3-D Piecewise Homogeneous Structures
Accurate modeling of on-chip passive components is vital for reliable integrated circuit (IC) design. However, this is non-trivial due to the inherent heterogeneity of the structures and the wide range of material parameters involved. In this work, we present a single-source boundary integral equation (BIE) for modeling on-chip interconnects and passive elements. To reduce the […]
Spectral Bayesian Optimization Using a Physics-Informed Rational Szegö Kernel for Microwave Design
Microwave device design increasingly relies on surrogate modeling to accelerate optimization and reduce costly electromagnetic (EM) simulations. This paper presents a spectral Bayesian optimization (SBO) framework leveraging a physicsinformed Gaussian process (GP) with a rational complex-valued Szegö kernel and input warping to enhance surrogate accuracy and data efficiency. Unlike conventional methods that model scalar objectives, […]
Modeling of ac quantum transport through imperfect carbon nanotube interconnects by means of nonequilibrium Green’s functions
Because of their long mean free path and superior current-carrying capabilities, carbon nanotubes (CNTs) are considered as an alternative for Cu in future interconnects. To simulate their dynamical properties, a linear equivalent-circuit model is usually invoked containing, among other things, a kinetic inductance and a quantum capacitance. As this equivalent circuit has been derived for […]
A semi‑classical Floquet‑NEGF approach to model photon‑assisted tunneling in quantum well devices
The non-equilibrium Green’s function formalism is often employed to model photon-assisted tunneling processes in opto-electronic quantum well devices. For this purpose, self-consistent schemes based on a quantum electrodynamical description of light–matter interactions have been proposed before. However, these schemes are typically computationally very demanding. Therefore, in this work, a novel semi-classical method based on Floquet–Green […]
Analytic Differential Admittance Operator for Tangential Dipole Illumination of a Dielectric Sphere
In this paper, the exact differential surface admittance (DSA) operator for scattering analysis of a homogeneous dielectric sphere is constructed. By utilizing two sets of orthogonal vector spherical harmonics as the basis functions for a Galerkin Method of Moments, the operator in question is obtained analytically. In comparison with the Mie series solution for a […]
Exact Spectral Analysis of Traditional and Single-Source Integral Equations for a Penetrable Sphere
Behaviour of the numerical discretization schemes of the integral equations (IEs) such as the Method of Moments, the Locally Corrected Nystrom method and others largely depends on the spectral properties of the continuous integro-differential operators forming such equations. This includes susceptibility of these numerical schemes to various breakdowns including low-frequency breakdown, oversampling breakdown, spurious resonances, […]