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相关论文: A higher-order spatial FDTD scheme with CFS PML fo…

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We propose a novel finite-difference time-domain (FDTD) scheme for the solution of the Maxwell's equations in which linear dispersive effects are present. The method uses high-order accurate approximations in space and time for the…

数值分析 · 数学 2017-06-15 Michael J. Jenkinson , Jeffrey W. Banks

Numerical simulation of wave propagation in an infinite medium is made possible by surrounding a finite region by a perfectly matched layer (PML). Using this approach a generalized three-dimensional (3D) formulation is proposed for…

数值分析 · 数学 2016-12-21 Hisham Assi , Richard S. C. Cobbold

We describe a fourth-order accurate finite-difference time-domain scheme for solving dispersive Maxwell's equations with nonlinear multi-level carrier kinetics models. The scheme is based on an efficient single-step three time-level…

A crucial part of successful wave propagation related inverse problems is an efficient and accurate numerical scheme for solving the seismic wave equations. In particular, the numerical solution to a multi-dimensional Helmholtz equation can…

数值分析 · 数学 2021-03-11 Hatef Dastour , Wenyuan Liao

This review article revisits and outlines the perfectly matched layer (PML) method and its various formulations developed over the past 25 years for the numerical modeling and simulation of wave propagation in unbounded media. Based on the…

经典物理 · 物理学 2021-04-21 Florent Pled , Christophe Desceliers

The advent of massively parallel supercomputers, with their distributed-memory technology using many processing units, has favored the development of highly-scalable local low-order solvers at the expense of harder-to-scale global very…

计算物理 · 物理学 2018-05-23 Henri Vincenti , Jean-Luc Vay

This paper introduces discrete-holomorphic Perfectly Matched Layers (PMLs) specifically designed for high-order finite difference (FD) discretizations of the scalar wave equation. In contrast to standard PDE-based PMLs, the proposed method…

数值分析 · 数学 2024-05-30 Vicente A. Hojas , Carlos Pérez-Arancibia , Manuel A. Sánchez

The finite-difference time-domain (FDTD) method is a flexible and powerful technique for rigorously solving Maxwell's equations. However, three-dimensional optical nonlinearity in current commercial and research FDTD softwares requires…

光学 · 物理学 2017-12-27 Charles Varin , Rhys Emms , Graeme Bart , Thomas Fennel , Thomas Brabec

We develop a method for numerical time-domain wave propagation based on the model order reduction approach. The method is built with high-performance computing (HPC) implementation in mind that implies a high level of parallelism and…

数值分析 · 数学 2014-06-27 Vladimir Druskin , Alexander V. Mamonov , Mikhail Zaslavsky

A parallel dispersive finite-difference time-domain (FDTD) method for the modeling of three-dimensional (3-D) electromagnetic cloaking structures is presented in this paper. The permittivity and permeability of the cloak are mapped to the…

计算物理 · 物理学 2015-05-13 Yan Zhao , Yang Hao

Efficient and accurate numerical simulation of 3D acoustic wave propagation in heterogeneous media plays an important role in the success of seismic full waveform inversion (FWI) problem. In this work, we employed the combined scheme and…

数值分析 · 计算机科学 2019-05-13 Keran Li , Wenyuan Liao

A conformal dispersive finite-difference time-domain (FDTD) method is developed for the study of one-dimensional (1-D) plasmonic waveguides formed by an array of periodic infinite-long silver cylinders at optical frequencies. The curved…

其他凝聚态物理 · 物理学 2009-11-11 Yan Zhao , Yang Hao

The finite-difference time-domain (FDTD) method is applied for modelling of wire media as artificial dielectrics. Both frequency dispersion and spatial dispersion effects in wire media are taken into account using the auxiliary differential…

材料科学 · 物理学 2009-11-11 Yan Zhao , Pavel Belov , Yang Hao

The perfectly matched layers (PMLs), as a boundary termination over an unbounded spatial domain, are widely used in numerical simulations of wave propagation problems. Given a set of discretization parameters, a procedure to select the PML…

数值分析 · 数学 2007-11-22 Jiawei Zhang

A time domain system of equations is proposed to model elastic wave propagation in an unbounded two-dimensional anisotropic solid using perfectly matched layer (PML). Starting from a system of first-order frequency domain stress-velocity…

计算物理 · 物理学 2013-12-16 Hisham Assi , Richard S. C. Cobbold

In this paper we consider the lowest edge-based mimetic finite difference (MFD) discretization in space for Maxwell's equations in cold plasma on rectangular meshes. The method uses a generalized form of mass lumping that, on one hand,…

数值分析 · 数学 2016-04-06 V. A. Bokil , V. Gyrya , D. A. McGregor

It is well-known that reliable and efficient domain truncation is crucial to accurate numerical solution of most wave propagation problems. The perfectly matched layer (PML) is a method which, when stable, can provide a domain truncation…

数值分析 · 数学 2022-01-19 Kenneth Duru , Gunilla Kreiss

In this paper, we consider the development and analysis of a new explicit compact high-order finite difference scheme for acoustic wave equation formulated in divergence form, which is widely used to describe seismic wave propagation…

数值分析 · 数学 2020-03-24 Da Li , Keran Li , Wenyuan Liao

In the last decade, the perfectly matched layer (PML) approach has proved a flexible and accurate method for the simulation of waves in unbounded media. Most PML formulations, however, usually require wave equations stated in their standard…

数值分析 · 数学 2010-01-05 Marcus J. Grote , Imbo Sim

The Finite Difference Time Domain (FDTD) method is a widely used numerical technique for solving Maxwell's equations, particularly in computational electromagnetics and photonics. It enables accurate modeling of wave propagation in complex…

计算与语言 · 计算机科学 2025-04-15 Yifei He , Måns I. Andersson , Stefano Markidis
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