A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations

FI Moxley III, DT Chuss, W Dai - Computer Physics Communications, 2013 - Elsevier
Recently, we have developed a generalized finite-difference time-domain (G-FDTD) method
for solving the time dependent linear Schrödinger equation. The G-FDTD is explicit and …

Generalized finite-difference time-domain method with absorbing boundary conditions for solving the nonlinear Schrödinger equation on a GPU

JP Wilson - Computer physics communications, 2019 - Elsevier
Explicit absorbing boundary conditions (ABCs) are presented for the recently developed
Generalized Finite-Difference Time-Domain (G-FDTD) method for solving the nonlinear …

A new absorbing layer approach for solving the nonlinear Schrödinger equation

F Guo, W Dai - Applied Numerical Mathematics, 2023 - Elsevier
To simulate waves on unbounded domain, absorbing boundary conditions are usually
needed to bound the computational domain and avoid boundary reflections as much as …

An alternating-direction hybrid implicit-explicit finite-difference time-domain method for the Schrödinger equation

P Decleer, A Van Londersele, H Rogier… - Journal of Computational …, 2022 - Elsevier
This paper proposes a novel hybrid FDTD method for solving the time-dependent
Schrödinger equation, which is fundamental for modeling materials and designing …

A hybrid EM/QM framework based on the ADHIE-FDTD method for the modeling of nanowires

P Decleer, DV Ginste - IEEE Journal on Multiscale and …, 2022 - ieeexplore.ieee.org
A new modeling formalism to compute the time-dependent behavior of combined
electromagnetic (EM) and quantum mechanical (QM) systems is proposed. The method is …

Nonuniform and higher-order FDTD methods for the Schrödinger equation

P Decleer, A Van Londersele, H Rogier… - Journal of Computational …, 2021 - Elsevier
Abstract Two Finite-Difference Time-Domain (FDTD) methods are developed for solving the
Schrödinger equation on nonuniform tensor-product grids. The first is an extension of the …

Development of Square Patch Microstrip Antenna Design by Using Three Dimension Finite Difference Time Domain Methods

HM Tun, D Pradhan, M Behera, MS Nwe… - Journal of Novel …, 2023 - journal.iistr.org
The paper mainly focuses on developing a Square-shaped Microstrip Patch Antenna Design
using Three Dimension Finite Difference Time Domain Methods. There have been many …

Fast generation of quantum dynamics data using a GPU implementation of the time-dependent Schrodinger equation

R Nagaya, H Omatsu, DM Packwood - arXiv preprint arXiv:2401.07416, 2024 - arxiv.org
Efficient methods for generating samples of wave packet trajectories are needed to build
machine learning models for quantum dynamics. However, simulating such data by direct …

A new absorbing layer for simulation of wave propagation based on a KdV model on unbounded domain

F Guo, W Dai - Applied Numerical Mathematics, 2022 - Elsevier
Simulation for wave propagation based on the Korteweg-de Vries (KdV) equation on
unbounded domain requires the computational domain to be bounded and hence an …

[PDF][PDF] Analysis on Research and Education for Electromagnetic-Applied Subjects with Finite Difference Time Domain Theory

HM Tun, T Than, MM Than, KS Tun… - American Journal of …, 2018 - researchgate.net
The paper presents the analysis on research and development purposes and education
purposes for engineering electromagnetic applied subjects like Engineering …