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A new transform over finite fields, the finite field Hartley transform (FFHT), was recently introduced and a number of promising applications on the design of efficient multiple access systems and multilevel spread spectrum sequences were…

Numerical Analysis · Computer Science 2015-02-06 H. M. de Oliveira , R. G. F. Távora , R. J. Cintra , R. M. Campello de Souza

The use of up to hundreds of antennas in massive multi-user (MU) multiple-input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) poses a complexity challenge for digital predistortion (DPD) aiming to linearize the…

Signal Processing · Electrical Eng. & Systems 2024-10-25 Yibo Wu , Ulf Gustavsson , Mikko Valkama , Alexandre Graell i Amat , Henk Wymeersch

In this work, we present a numerical method that remedies the instabilities of the conventional FDTD approach for solving Maxwell's equations in a space-time dependent magneto-electric medium with direct application to the simulation of the…

Optics · Physics 2015-06-18 Jason Cornelius , Jinjie Liu , Moysey Brio

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

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

This paper introduces a new computational framework to derive electromagnetic field derivatives with respect to multiple design parameters up to any order with the Finite-Difference Time-Domain (FDTD) technique. Specifically, only one FDTD…

Signal Processing · Electrical Eng. & Systems 2019-10-23 Kae-An Liu , Costas D. Sarris

We present and implement the concept of the Fourier-domain dedispersion (FDD) algorithm, a brute-force incoherent dedispersion algorithm. This algorithm corrects the frequency-dependent dispersion delays in the arrival time of radio…

Instrumentation and Methods for Astrophysics · Physics 2022-01-05 C. G. Bassa , J. W. Romein , B. Veenboer , S. van der Vlugt , S. J. Wijnholds

One of the most popular methods employed in computational electromagnetics is the Finite Difference Time Domain (FDTD) method. We generalise it to a meshless setting using the Radial Basis Function generated Finite Difference (RBF-FD)…

Computational Physics · Physics 2026-02-26 Andrej Kolar-Požun , Gregor Kosec

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

We present a proof of concept for solving a 1+1D complex-valued, delay partial differential equation (PDE) that emerges in the study of waveguide quantum electrodynamics (QED) by adapting the finite-difference time-domain (FDTD) method. The…

Mathematical Software · Computer Science 2018-11-19 Yao-Lung L. Fang

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

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

This letter is devoted to point out a specific character of the Finite-Difference-Time-Domain method through the study of nano-structures supporting geometrical symmetry-protected modes that can not be excited at certain conditions of…

Optics · Physics 2020-10-02 A. Hoblos , M. Suarez , B. Guichardaz , N. Courjal , M. -P. Bernal , F. I. Baida

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

In this paper, an efficient algorithm is presented by the extrapolation technique to improve the accuracy of finite difference schemes for solving the fractional boundary value problems with non-smooth solution. Two popular finite…

Numerical Analysis · Mathematics 2016-07-26 Zhao-Peng Hao , Wan-Rong Cao

We propose a high-order FDTD scheme based on the correction function method (CFM) to treat interfaces with complex geometry without increasing the complexity of the numerical approach for constant coefficients. Correction functions are…

Numerical Analysis · Mathematics 2020-02-18 Yann-Meing Law , Alexandre Noll Marques , Jean-Christophe Nave

The calculation of the local density of states (LDOS) in lossy materials has long been disputed due to the divergence of the homogeneous Green function with equal space arguments. For arbitrary shaped lossy structures, such as those of…

Quantum Physics · Physics 2013-08-27 C. Van Vlack , S. Hughes

We propose high-order FDTD schemes based on the Correction Function Method (CFM) for Maxwell's interface problems with discontinuous coefficients and complex interfaces. The key idea of the CFM is to model the correction function near an…

Numerical Analysis · Mathematics 2022-03-11 Yann-Meing Law , Jean-Christophe Nave

The timestep of the Finite-Difference Time-Domain method (FDTD) is constrained by the stability limit known as the Courant-Friedrichs-Lewy (CFL) condition. This limit can make FDTD simulations quite time consuming for structures containing…

Computational Engineering, Finance, and Science · Computer Science 2016-06-29 Xihao Li , Costas D. Sarris , Piero Triverio

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