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In this paper we shall propose a simple scheme for calculating Green's functions for photons propagating in complex structured dielectrics or other photonic systems. The method is based on an extension of the finite difference time domain…

Condensed Matter · Physics 2009-10-31 A. J. Ward , J. B. Pendry

The finite difference time domain (FDTD) algorithm and Green function algorithm are implemented into the numerical simulation of electromagnetic scattering by ordinary objects in Schwarzschild space-time. FDTD method in curved space-time is…

Computational Physics · Physics 2018-04-13 Shouqing Jia

A formal proof to relate the concept of electromagnetic local density of states (LDOS) to the electric and magnetic dyadic Green's functions is provided. The expression for LDOS is obtained by relating the electromagnetic energy density at…

Other Condensed Matter · Physics 2011-04-13 Arvind Narayanaswamy , Gang Chen

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

Finite-difference time-domain (FDTD) is an effective algorithm for resolving Maxwell equations directly in time domain. Although FDTD has obtained sufficient development, there still exists some improvement space for it, such as…

Computational Physics · Physics 2023-03-29 Huicheng Guo , Henglei Du , Chengpu Liu

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

A Finite-Difference Time-Domain (FDTD) scheme with Perfectly Matched Layers (PMLs) is considered for solving the time-dependent Schr\"{o}dinger equation, and simulate the ionization of an electron initially bound to a one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-04-02 Høgni C. Kamban , Sigurd S. Christensen , Thomas Søndergaard , Thomas G. Pedersen

Providing quantitative interpretation of coherent nonlinear microscopy images, such as third-harmonic generation (THG), is generally hampered by the complex phase-matching conditions, especially in the presence of sample linear…

Optics · Physics 2026-03-09 Mohammad Reza Farhadinia , Nicolas Olivier

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

A finite-difference time-domain (FDTD) modelling of finite-size zero thickness space-time modulated Huygens' metasurfaces based on Generalized Sheet Transition Conditions (GSTCs), is proposed and numerically demonstrated. A typical…

Optics · Physics 2017-01-06 Scott A. Stewart , Tom J. Smy , Shulabh Gupta

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

Simulation of 3D low-frequency electromagnetic fields propagating in the Earth is computationally expensive. We present a fictitious wave domain high-order finite-difference time-domain (FDTD) modelling method on nonuniform grids to compute…

Numerical Analysis · Mathematics 2023-02-13 Pengliang Yang , Rune Mittet

Photon Green function (GF) is the vital and most decisive factor in the field of quantum light-matter interaction. It is divergent with two equal space arguments in arbitrary-shaped lossy structure and should be regularized. We introduce a…

The letter contains an important message regarding the numerical modeling of left-handed media (LHM) using the finite-difference time-domain (FDTD) method which remains at the moment one of the main techniques used in studies of these…

Materials Science · Physics 2007-05-23 Yan Zhao , Pavel Belov , Yang Hao

We study the local density of states (LDOS) in a finite photonic crystal, in particular in the frequency range of the band gap. We propose a new point of view on the band gap, which we consider to be the result of vacuum fluctuations in…

Optics · Physics 2014-01-17 Elahe Yeganegi , Ad Lagendijk , Allard P. Mosk , Willem L. Vos

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…

Optics · Physics 2017-12-27 Charles Varin , Rhys Emms , Graeme Bart , Thomas Fennel , Thomas Brabec

This work considers the time-domain fluorescence diffuse optical tomography (FDOT). We recover the distribution of fluorophores in biological tissue by the boundary measurements. With the Laplace transform and the knowledge of complex…

Analysis of PDEs · Mathematics 2022-09-14 Chunlong Sun , Zhidong Zhang

The finite difference time domain (FDTD) method has been successfully applied to obtain energies and wave functions for two electrons in a quantum dot modeled by a three dimensional harmonic potential. The FDTD method uses the…

Computational Physics · Physics 2017-06-12 I Wayan Sudiarta , Lily Maysari Angraini

Motivated by high-accuracy scanning tunneling spectroscopy measurements on disordered two-dimensional electron gases in strong magnetic field, we present an exact solution for the local density of states (LDoS) of electrons moving in an…

Mesoscale and Nanoscale Physics · Physics 2009-10-29 Thierry Champel , Serge Florens

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…

Computational Physics · Physics 2015-06-12 Gregory R. Werner , Carl A. Bauer , John R. Cary
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