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Spacetime discontinuous Galerkin (SDG) finite element methods are used to solve such PDEs involving space and time variables arising from wave propagation phenomena in important applications in science and engineering. To support an…

计算几何 · 计算机科学 2008-04-08 Shripad Thite

In this paper, a time-domain discontinuous Galerkin (TDdG) finite element method for the full system of Maxwell's equations in optics and photonics is investigated, including a complete proof of a semi-discrete error estimate. The new…

数值分析 · 数学 2026-02-04 Asad Anees , Lutz Angermann

In this paper, we construct an efficient numerical scheme for full-potential electronic structure calculations of periodic systems. In this scheme, the computational domain is decomposed into a set of atomic spheres and an interstitial…

数值分析 · 数学 2024-12-20 Xiaoxu Li , Huajie Chen

In this paper, one of the major shortcomings of the conventional numerical approaches is alleviated by introducing the probabilistic nature of molecular transitions into the framework of classical computational electrodynamics. The main aim…

经典物理 · 物理学 2020-01-24 Ali Reza Hashemi , Mahmood Hosseini-Farzad

In this paper, we develop an efficient and accurate procedure of electromagnetic multipole decomposition by using the Lebedev and Gaussian quadrature methods to perform the numerical integration. Firstly, we briefly review the principles of…

光学 · 物理学 2024-01-01 Wenfei Guo , Zizhe Cai , Zhongfei Xiong , Weijin Chen , Yuntian Chen

Electron-beam propagation experiments have been used to determine the energy and angle dependence of electron-electron (ee) scattering a two-dimensional electron gas (2DEG) in a very direct manner by a new spectroscopy method. The…

介观与纳米尺度物理 · 物理学 2009-10-31 A. V. Yanovsky , H. Predel , H. Buhmann , R. N. Gurzhi , A. N. Kalinenko , A. I. Kopeliovich , L. W. Molenkamp

This work develops an energy-based discontinuous Galerkin (EDG) method for the nonlinear Schr\"odinger equation with the wave operator. The focus of the study is on the energy-conserving or energy-dissipating behavior of the method with…

数值分析 · 数学 2023-11-14 Kui Ren , Lu Zhang , Yin Zhou

Electrokinetic transport phenomena can strongly influence the behaviour of macromolecules and colloidal particles in solution, with applications in, e.g., DNA translocation through nanopores, electro-osmotic flow in nanocapillaries, and…

软凝聚态物质 · 物理学 2016-08-03 Georg Rempfer , Gary B. Davies , Christian Holm , Joost de Graaf

A computational method for the scattering of light by multiple nonclassical plasmonic nanospheres, each of which has multiple (non-)concentric dielectric or metallic layers, is presented. The electromagnetic (EM) response of the free…

Understanding the electron dynamics and transport in metallic and semiconductor nanostructures -- such as metallic nanoparticles, thin films, quantum wells and quantum dots -- represents a considerable challenge for today's condensed matter…

强关联电子 · 物理学 2008-10-20 G. Manfredi , P. -A. Hervieux , Y. Yin , N. Crouseilles

Strong field photoemission and electron recollision provide a viable route to extract electronic and nuclear dynamics from molecular targets with attosecond temporal resolution. However, since an {\em ab-initio} treatment of even the…

原子物理 · 物理学 2016-11-02 N. Suárez , A. Chacón , M. F. Ciappina , B. Wolter , J. Biegert , M. Lewenstein

We develop a combined theoretical and experimental method for estimating the amount of heating that occurs in metallic nanoparticles that are being imaged in an electron microscope. We model the thermal transport between the nanoparticle…

We present and analyze a high-order discontinuous Galerkin method for the space discretization of the wave propagation model in thermo-poroelastic media. The proposed scheme supports general polytopal grids. Stability analysis and…

数值分析 · 数学 2023-06-28 Stefano Bonetti , Michele Botti , Ilario Mazzieri , Paola F. Antonietti

The action of a nanoscopic spherically symmetric refractive index profile on a focused Gaussian beam may easily be envisaged as the action of a phase-modifying element, i.e. a lens: Rays traversing the inhomogeneous refractive index field…

光学 · 物理学 2011-09-14 Selmke Markus , Braun Marco , Cichos Frank

Electron beam energies in Transmission Electron Microscopes (TEMs) reach the relativistic realm constituting Quantum Electrodynamics (QED) the appropriate framework for the study of electron matter interaction in TEMs. We focus on the…

原子物理 · 物理学 2026-01-12 Ioannis Iatrakis , Valerii Brudanin

Using scanning gate microscopy (SGM), we probe the scattering between a beam of electrons and a two-dimensional electron gas (2DEG) as a function of the beam's injection energy, and distance from the injection point. At low injection…

介观与纳米尺度物理 · 物理学 2010-11-02 M. P. Jura , M. Grobis , M. A. Topinka , L. N. Pfeiffer , K. W. West , D. Goldhaber-Gordon

Spectroscopies utilizing free electron beams as probes offer detailed information on the reciprocal-space excitations of 2D materials such as graphene and transition metal dichalcogenide monolayers. Yet, despite the attention paid to such…

材料科学 · 物理学 2024-02-08 Andrew W. Rossi , Marc R. Bourgeois , Caleb Walton , David J. Masiello

Plasmonic nanostructures significantly improve the performance of photoconductive devices (PCDs) in generating terahertz radiation. However, they are geometrically intricate and result in complicated electromagnetic (EM) field and carrier…

数值分析 · 数学 2020-10-14 Liang Chen , Hakan Bagci

Based on quantum reactive-scattering theory, we propose a method for studying the electronic nonadiabaticity in collision processes involving electron-ion rearrangements. We investigate the state-to-state transition probability for…

化学物理 · 物理学 2014-12-16 Yang Peng , Luca M. Ghiringhelli , Heiko Appel

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…

计算物理 · 物理学 2023-02-17 Doolos Aibek Uulu , Rui Chen , Liang Chen , Ping Li , Hakan Bagci