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We describe a simple and intuitive implementation of the method of finite difference time domain simulations for propagating electromagnetic waves using the simplest possible tools available in Microsoft Excel. The method overcomes the…

物理教育 · 物理学 2007-05-23 David W. Ward , Keith A. Nelson

Efficient modeling of dispersive materials via time-domain simulations of the Maxwell equations relies on the technique of auxiliary differential equations. In this approach, a material's frequency-dependent permittivity is represented via…

Wrapping a computation domain with a perfectly matched layer (PML) is one of the most effective methods of imitating/approximating the radiation boundary condition in Maxwell and wave equation solvers. Many PML implementations often use a…

数值分析 · 数学 2021-09-03 Liang Chen , Mehmet Burak Ozakin , Shehab Ahmed , Hakan Bagci

Diffusion Probabilistic Models (DPMs) have been recently utilized to deal with various blind image restoration (IR) tasks, where they have demonstrated outstanding performance in terms of perceptual quality. However, the task-specific…

计算机视觉与模式识别 · 计算机科学 2025-10-07 Magauiya Zhussip , Iaroslav Koshelev , Stamatis Lefkimmiatis

Maxwell equations are solved in a layer comprising a finite number of homogeneous isotropic dielectric regions ended by anisotropic perfectly matched layers (PMLs). The boundary-value problem is solved and the dispersion relation inside the…

光学 · 物理学 2009-11-10 Diana C. Skigin

Property Directed Reachability (PDR) is a widely used technique for formal verification of hardware and software systems. This paper presents an incremental version of PDR (IPDR), which enables the automatic verification of system instances…

符号计算 · 计算机科学 2023-08-24 Max Blankestijn , Alfons Laarman

To facilitate the study of solar active regions and flaring loops, we have created a modeling framework, the freely distributed GX Simulator IDL package, that combines 3D magnetic and plasma structures with thermal and non-thermal models of…

A novel 3-D higher-order finite-difference time-domain framework with complex frequency-shifted perfectly matched layer for the modeling of wave propagation in cold plasma is presented. Second- and fourth-order spatial approximations are…

等离子体物理 · 物理学 2013-10-25 Konstantinos P. Prokopidis

The three electromagnetic properties appearing in Maxwell's equations are dielectric permittivity, electrical conductivity and magnetic permeability. The study of point diffractors in a homogeneous, isotropic, linear medium suggests the use…

地球物理 · 物理学 2013-06-10 Albane Saintenoy , A. Tarantola

A more accurate, stable, finite-difference time-domain (FDTD) algorithm is developed for simulating Maxwell's equations with isotropic or anisotropic dielectric materials. This algorithm is in many cases more accurate than previous…

计算物理 · 物理学 2015-06-12 Gregory R. Werner , Carl A. Bauer , John R. Cary

Topology optimization techniques have been applied in integrated optics and nanophotonics for the inverse design of devices with shapes that cannot be conceived by human intuition. At optical frequencies, these techniques have only been…

光学 · 物理学 2022-04-15 Emadeldeen Hassan , Antonio Calà Lesina

Rigorous computer simulations of propagating electromagnetic fields have become an important tool for optical metrology and design of nanostructured optical components. A vectorial finite element method (FEM) is a good choice for an…

光学 · 物理学 2009-05-28 L. Zschiedrich , S. Burger , A. Schädle , F. Schmidt

Simulating warm dense matter that undergoes a wide range of temperatures and densities is challenging. Predictive theoretical models, such as quantum-mechanics-based first-principles molecular dynamics (FPMD), require a huge amount of…

计算物理 · 物理学 2019-09-04 Yuzhi Zhang , Chang Gao , Linfeng Zhang , Han Wang , Mohan Chen

This work presents a highly optimized computational framework for the Discrete Dipole Approximation, a numerical method for calculating the optical properties associated with a target of arbitrary geometry that is widely used in…

天体物理仪器与方法 · 物理学 2009-08-07 James Mc Donald , Aaron Golden , S. Gerard Jennings

We present both modeling and computational advancements to a unique three-dimensional discontinuous Petrov-Galerkin finite element model for the simulation of laser amplification in a fiber amplifier. Our model is based on the time-harmonic…

数值分析 · 数学 2021-02-02 Stefan Henneking , Jacob Grosek , Leszek Demkowicz

Discrete Fracture and Matrix (DFM) models describe fractured porous media as complex sets of 2D planar polygons embedded in a 3D matrix representing the surrounding porous medium. The numerical simulation of the flow in a DFM requires the…

数值分析 · 数学 2020-01-31 M. F. Benedetto , A. Borio , F. Kyburg , J. Mollica , S. Scialo

The full-wave simulation of complex electromagnetic surfaces such as reflectarrays and metasurfaces is a challenging problem. In this paper, we present a macromodeling approach to efficiently simulate complex electromagnetic surfaces…

计算工程、金融与科学 · 计算机科学 2020-12-02 Utkarsh R. Patel , Piero Triverio , Sean V. Hum

We are concerned with the numerical solution of a unified first order hyperbolic formulation of continuum mechanics that originates from the work of Godunov, Peshkov and Romenski (GPR model) and which is an extension of nonlinear…

A discontinuous Galerkin time-domain (DGTD) method based on dynamically adaptive Cartesian meshes (ACM) is developed for a full-wave analysis of electromagnetic fields in dispersive media. Hierarchical Cartesian grids offer simplicity close…

计算物理 · 物理学 2017-06-28 Su Yan , Chao-Ping Lin , Robert R. Arslanbekov , Vladimir I. Kolobov , Jian-Ming Jin

This paper introduces a new approach for the computation of electromagnetic field derivatives, up to any order, with respect to the material and geometric parameters of a given geometry, in a single Finite-Difference Time-Domain (FDTD)…

数值分析 · 数学 2024-12-20 Kae-An Liu , Hans-Dieter Lang , Costas D. Sarris