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Related papers: Optimizing FDTD Solvers for Electromagnetics: A Co…

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A semi-implicit finite difference time domain (FDTD) numerical Maxwell solver is developed for full electromagnetic Particle-in-Cell (PIC) codes for the simulations of plasma-based acceleration. The solver projects the volumetric Yee…

Plasma Physics · Physics 2020-08-26 Alexander Pukhov

Finite-difference time-domain (FDTD) simulations often involve physical quantities spanning multiple orders of magnitude, such as the speed of light or electromagnetic field amplitudes. The standard practice for maintaining numerical…

Computational Physics · Physics 2026-03-26 Yannik Mahlau , Lukas Berg , Bodo Rosenhahn

Time domain simulations of electromagnetic problems are highly valuable in engineering applications, as they allow for the analysis of transient behavior and broadband responses. These simulations utilize time stepping schemes, where each…

Computational Physics · Physics 2024-10-23 Ruth Medeiros , Valentin de la Rubia

We introduce an efficient open-source python package for the inverse design of three-dimensional photonic nanostructures using the Finite-Difference Time-Domain (FDTD) method. Leveraging a flexible reverse-mode automatic differentiation…

We present a mimetic finite-difference approach for solving Maxwell's equations in one and two spatial dimensions. After introducing the governing equations and the classical Finite-Difference Time-Domain (FDTD) method, we describe mimetic…

Numerical Analysis · Mathematics 2026-03-24 Johnny Corbino

The finite-difference time-domain (FDTD) method is a well established method for solving the time evolution of Maxwell's equations. Unfortunately the scheme introduces numerical dispersion and therefore phase and group velocities which…

Plasma Physics · Physics 2018-02-05 Alexander Blinne , David Schinkel , Stephan Kuschel , Nina Elkina , Sergey Rykovanov , Matt Zepf

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…

Physics Education · Physics 2007-05-23 David W. Ward , Keith A. Nelson

In this paper, an improvement of the finite difference time domain (FDTD) method using a non-standard finite difference scheme is presented. The standard numerical scheme for the second derivative in the spatial domain is replaced by a…

Computational Physics · Physics 2018-08-21 I Wayan Sudiarta

The computational efficiency of the Finite-Difference Time-Domain (FDTD) method can be significantly reduced by the presence of complex objects with fine features. Small geometrical details impose a fine mesh and a reduced time step,…

Computational Engineering, Finance, and Science · Computer Science 2021-06-30 Xinyue Zhang , Fadime Bekmambetova , Piero Triverio

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…

Other Condensed Matter · Physics 2009-11-11 Yan Zhao , Yang Hao

A general method for numerical computation of the thermal density matrix of a single-particle quantum system is presented. The Schrodinger equation in imaginary time tau is solved numerically by the finite difference time domain (FDTD)…

Computational Physics · Physics 2009-02-12 I. Wayan Sudiarta , D. J. Wallace Geldart

The finite-difference time-domain (FDTD) method, which is important in photonic hardware design flow, is widely adopted to solve time-domain Maxwell equations. However, FDTD is known for its prohibitive runtime cost, taking minutes to hours…

Computational Physics · Physics 2024-06-27 Pingchuan Ma , Haoyu Yang , Zhengqi Gao , Duane S. Boning , Jiaqi Gu

The finite-difference time-domain (FDTD) method has been commonly utilized to simulate the electromagnetic (EM) waves propagation in the plasma media. However, the FDTD method may bring about extra run-time on concerning computationally…

Computational Physics · Physics 2018-04-13 Lang-lang Xiong , Xi-min Wang , Song Liu , Zhi-yun Peng , Shuang-ying Zhong

We report a new computational model for simulations of electromagnetic interactions with semiconductor quantum well(s) (SQW) in complex electromagnetic geometries using the finite difference time domain (FDTD) method. The presented model is…

Optics · Physics 2015-03-20 Koustuban Ravi , Qian Wang , Seng-Tiong Ho

Time domain simulations are crucial for analyzing transient behavior and broadband responses in electromagnetic problems. However, conventional numerical methods such as finite element method in time domain (FEMTD) and finite difference…

Computational Physics · Physics 2025-02-19 Ruth Medeiros , Valentín de la Rubia

The accuracy of finite-difference time-domain (FDTD) modelling of left-handed metamaterials (LHMs) is dramatically improved by using an averaging technique along the boundaries of LHM slabs. The material frequency dispersion of LHMs is…

Other Condensed Matter · Physics 2009-11-13 Yan Zhao , Pavel Belov , Yang Hao

With the advent of PW class lasers, the very large laser intensities attainable on-target should enable the production of intense high order Doppler harmonics from relativistic laser-plasma mirrors interactions. At present, the modeling of…

Computational Physics · Physics 2017-10-11 G. Blaclard , H. Vincenti , R. Lehe , J. L. Vay

This paper proposes an efficient FDTD technique for determining electromagnetic fields interacting with a finite-sized 2D and 3D periodic structures. The technique combines periodic boundary conditions---modelling fields away from the edges…

Computational Engineering, Finance, and Science · Computer Science 2024-10-30 Aaron J. Kogon , Costas D. Sarris

An extremely fast time-harmonic finite element solver developed for the transmission analysis of photonic crystals was applied to mask simulation problems. The applicability was proven by examining a set of typical problems and by a…

Optics · Physics 2009-05-28 S. Burger , R. Köhle , L. Zschiedrich , W. Gao , F. Schmidt , R. März , C. Nölscher

Understanding and optimizing the properties of solar cells is becoming a key issue in the search for alternatives to nuclear and fossil energy sources. A theoretical analysis via numerical simulations involves solving Maxwell's Equations in…

Computational Engineering, Finance, and Science · Computer Science 2015-10-20 Tareq M. Malas , Julian Hornich , Georg Hager , Hatem Ltaief , Christoph Pflaum , David E. Keyes