Fokas Based Dirichlet-to-Neumann Operators for Accurate Signal Integrity Assessment of Interconnects
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 […]
Solving the Fully Coupled Time-Dependent Maxwell-Dirac System: A Second-Order Accurate Numerical Scheme
Owing to their increased carrier velocities, Dirac materials have become a promising option for the integration into nanoelectronics. However, without the aid of simulation software that is able to accurately describe the behavior of these materials, the fabrication of novel devices is extremely challenging. In this work, we present a second-order accurate, multiphysics solution method […]
An ADHIE-TDDFT Method for the EM/QM Co-simulation of Coupled 1-D Nanowires
Over the past years, the rapid increase in device functionality and miniaturization has stimulated the demand for novel topologies and materials. One such trend is the emergence of one-dimensional nanostructures in electronic components. Given the embryonic stage of these applications, adequate modeling tools should be developed to investigate the structures’ intricate dynamics. This encompasses the […]
Efficient Characterization of Interconnects with Arbitrary Polygonal Cross-sections using Fokas-derived Dirichlet-to-Neumann Operators
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 […]
Reduced-Order Stochastic Testing of Interconnects Subject to Line Edge Roughness
In this contribution we study the propagation constant of interconnects subject to line edge roughness by means of an efficient stochastic framework. By employing the stochastic testing method, we succeed in limiting the number of calls to the full-wave electromagnetic field solver at the core of the system. Additionally, the computationally burdensome solution of the […]
Authors’ Online Seminar – IEEE Journal on Multiscale and Multiphysics Computational Techniques
This seminar is based on the paper “A Hybrid EM/QM Framework Based on the ADHIE-FDTD Method for the Modeling of Nanowires“, IEEE J-MMCT, vol. 7, 2022, pp. 236-251, coauthored by Pieter Decleer and Dries Vande Ginste. The paper won the Best Paper Award for papers published in IEEE J-MMCT in years 2021-2022. In the seminar […]
Analysis of Electronic Waveguide Bends in Graphene Subject to Dirac Point Fluctuations
Various optics-inspired electronic devices based on graphene have been proposed, owing to the linear dispersion relation of the charge carriers. In this contribution, the waveguide bend is examined by means of a higher-order time-domain method for the (2+1)D Dirac equation and it is demonstrated that, because of the peculiar properties of graphene, sharp waveguide bends […]
Analysis and Application of a Surface Admittance Operator for Combined Magnetic and Dielectric Contrast in Emerging Interconnect Topologies
This article presents a novel method to accurately simulate electromagnetic scattering at homogeneous polygonal cylinders with arbitrary material properties. A single source equivalence approach is invoked, allowing to substitute the background medium for the inner material of the scatterer, provided an equivalent surface current density is introduced. We construct the pertinent differential surface admittance operator […]
A conservative fourth-order real space method for the (2+1)D Dirac equation
Modelling the time-dependent (2+1)D Dirac equation has recently gained importance since this equation effectively describes multiple condensed matter systems. To avoid the large dispersion errors of second-order real space schemes, a highly accurate method is presented here instead. The method utilises a fourth-order central difference on a staggered grid and an explicit symplectic Partitioned Runge–Kutta […]
Conservative second-order accurate finite-difference scheme for the coupled Maxwell-Dirac equations
The recent development of nanoelectronic devices that incorporate Dirac materials has highly increased the need for adequate simulation and modelling tools. This paper introduces an accurate, multiphysics finite-difference time-domain method to solve the pertinent Maxwell-Dirac equations. The stability criterion for the Dirac equation with electromagnetic fields is derived, which reduces to the Courant-Friedrichs-Lewy condition in […]