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Mesoscopic models of the optical response of metals have emerged as fundamental building blocks in quantum plasmonics, in principle overcoming the computational bottlenecks of ab initio techniques by implementing aspects of the atomistic…

A stable volume integral equation (VIE) solver based on polarization/magnetization currents is presented, for the accurate and efficient computation of the electromagnetic scattering from highly inhomogeneous and high contrast objects.We…

Numerical Analysis · Computer Science 2020-12-24 Ioannis P. Georgakis , Ilias I. Giannakopoulos , Mikhail S. Litsarev , Athanasios G. Polimeridis

A butterfly-accelerated volume integral equation (VIE) solver is proposed for fast and accurate electromagnetic (EM) analysis of scattering from heterogeneous objects. The proposed solver leverages the hierarchical off-diagonal butterfly…

Numerical Analysis · Mathematics 2022-05-18 Sadeed B. Sayed , Yang Liu , Luis J. Gomez , Abdulkadir C. Yucel

A coupled system of volume integral and hydrodynamic equations is solved to analyze electromagnetic scattering from nanostructures consisting of metallic and dielectric parts. In the metallic part, the hydrodynamic equation relates the free…

Computational Physics · Physics 2023-02-17 Doolos Aibek Uulu , Rui Chen , Liang Chen , Ping Li , Hakan Bagci

Metallic nanoparticles (NPs) support localized surface plasmon resonances (LSPRs), which enable to concentrate sunlight at the active layer of solar cells. However, full-wave modeling of the plasmonic solar cells faces great challenges in…

Optics · Physics 2018-09-17 Zi He , Ji Hong Gu , Wei E. I. Sha , Ru Shan Chen

The hydrodynamic Drude model known from metal plasmonics also applies to semiconductor structures of sizes in between single-particle quantum confinement and bulk. But contrary to metals, for semiconductors two or more types of plasma may…

In this paper, we develop highly accurate Nystr\"{o}m methods for the volume integral equation (VIE) of the Maxwell equation for 3-D scatters. The method is based on a formulation of the VIE equation where the Cauchy principal value of the…

Numerical Analysis · Mathematics 2015-06-16 Duan Chen , Wei Cai , Brian Zinser

Nonlocal material response distinctively changes the optical properties of nano-plasmonic scatterers and waveguides. It is described by the nonlocal hydrodynamic Drude model, which -- in frequency domain -- is given by a coupled system of…

Computational Physics · Physics 2015-06-03 Kirankumar R. Hiremath , Lin Zschiedrich , Frank Schmidt

In this paper we present a new regularized electric flux volume integral equation (D-VIE) for modeling high-contrast conductive dielectric objects in a broad frequency range. This new formulation is particularly suitable for modeling…

Image and Video Processing · Electrical Eng. & Systems 2021-08-25 Clément Henry , Adrien Merlini , Lyes Rahmouni , Francesco P. Andriulli

The superior ability of nanostructures to manipulate light has propelled extensive applications in nano-electromagnetic components and devices. Computational electromagnetics plays a critical role in characterizing and optimizing the…

Computational Physics · Physics 2025-01-24 Chengnian Huang , Wei E. I. Sha

In this paper, we develop an accurate and efficient Nystr\"{o}m volume integral equation (VIE) method for the Maxwell equations for large number of 3-D scatterers. The Cauchy Principal Values that arise from the VIE are computed accurately…

Numerical Analysis · Mathematics 2016-08-24 Duan Chen , Wei Cai , Brian Zinser , Min Hyung Cho

Recent work on developing novel integral equation formulations has involved using potentials as opposed to fields. This is a consequence of the additional flexibility offered by using potentials to develop well conditioned systems. Most of…

Computational Physics · Physics 2017-06-12 Jie Li , Xin Fu , Balasubramaniam Shanker

A thin-sheet (TS) volume integral equation (VIE) formulation incorporating generalized sheet transition conditions (GSTCs) is presented for the simulation of three-dimensional (3D) bianisotropic metasurfaces. The metasurface is represented…

Computational Physics · Physics 2026-04-24 Sebastian Celis Sierra , Meruyert Khamitova , Ran Zhao , Sadeed Bin Sayed , Hakan Bagci

The hydrodynamic Drude model (HDM) has been successful in describing the optical properties of metallic nanostructures, but for semiconductors where several different kinds of charge carriers are present, an extended theory is required. We…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Johan R. Maack , N. Asger Mortensen , Martijn Wubs

The optical extinction spectra arising from localized surface plasmon resonance in doped semiconductor nanocrystals (NCs) have intensities and lineshapes determined by free charge carrier concentrations and the various mechanisms for…

Linear complexity iterative and log-linear complexity direct solvers are developed for the volume integral equation (VIE) based general large-scale electrodynamic analysis. The dense VIE system matrix is first represented by a new…

Numerical Analysis · Mathematics 2018-01-22 Saad Omar , Dan Jiao

The standard hydrodynamic Drude model with hard-wall boundary conditions can give accurate quantitative predictions for the optical response of noble-metal nanoparticles. However, it is less accurate for other metallic nanosystems, where…

Volume integral equations have been used as a theoretical tool in scattering theory for a long time. A classical application is an existence proof for the scattering problem based on the theory of Fredholm integral equations. This approach…

Analysis of PDEs · Mathematics 2015-04-29 M. Costabel

We present a novel staggered semi-implicit hybrid FV/FE method for the numerical solution of the shallow water equations at all Froude numbers on unstructured meshes. A semi-discretization in time of the conservative Saint-Venant equations…

Numerical Analysis · Mathematics 2023-01-24 Saray Busto , Michael Dumbser

A time domain electric field volume integral equation (TD-EFVIE) solver is proposed for analyzing electromagnetic scattering from dielectric objects with Kerr nonlinearity. The nonlinear constitutive relation that relates electric flux and…

Computational Engineering, Finance, and Science · Computer Science 2024-05-22 Sadeed Bin Sayed , Rui Chen , Huseyin Arda Ulku , Hakan Bagci
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