Frequency-domain multiscale quantum mechanics/electromagnetics simulation method.

Sparsifying Preconditioner for the Lippmann-Schwinger Equation

The Lippmann–Schwinger equation is an integral equation formulation for acoustic and electromagnetic scattering from an inhomogeneous medium and quantum scattering from a localized potential. We present the sparsifying preconditioner for accelerating the iterative solution of the Lippmann–Schwinger equation. This new preconditioner transforms the discretized Lippmann–Schwinger equation into spa...

EM simulation using the Laguerre-FDTD scheme for multiscale 3-D interconnections

Semiclassical Models for the Schrödinger Equation with Periodic Potentials and Band Crossings∗

The Bloch decomposition plays a fundamental role in the study of quantum mechanics and wave propagation in periodic media. Most of the homogenization theory developed for the study of high frequency or semiclassical limit for these problems assumes no crossing of the Bloch bands, resulting in classical Liouville equations in the limit along each Bloch band. In this article, we derive semiclassi...

Evaluating Surface Impedance Models for Terahertz Frequencies at Room Temperature

Commercial electromagnetic modeling software employs overly-simplified models for the terahertz simulation of metal structures. For the first time, this paper gives a unique review of various modeling strategies (classical, semiclassical and quantum mechanical based) for normal metals and discusses their limitations with frequency at room temperature. DOI: 10.2529/PIERS061006115842

A FEM Multiscale Homogenization Procedure using Nanoindentation for High Performance Concrete

This paper aims to develop a numerical multiscale homogenization method for prediction of elasto-viscoplastic properties of a high performance concrete (HPC). The homogenization procedure is separated into two-levels according to the microstructure of the HPC: the mortar or matrix level and the concrete level. The elasto-viscoplastic behavior of individual microstructural phases of the matrix a...