eprintid: 10064274
rev_number: 17
eprint_status: archive
userid: 608
dir: disk0/10/06/42/74
datestamp: 2018-12-14 13:07:09
lastmod: 2021-12-18 23:59:27
status_changed: 2018-12-14 13:07:09
type: article
metadata_visibility: show
creators_name: You, JW
creators_name: Threlfall, E
creators_name: Gallagher, DFG
creators_name: Panoiu, NC
title: Computational analysis of dispersive and nonlinear 2D materials by using a GS-FDTD method
ispublished: pub
divisions: UCL
divisions: B04
divisions: C05
divisions: F46
note: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
abstract: In this paper, we propose a novel numerical method for modeling nanostructures containing dispersive and nonlinear two-dimensional (2D) materials, by incorporating a nonlinear generalized source (GS) into the finite-difference time-domain (FDTD) method. Starting from the expressions of nonlinear currents characterizing nonlinear processes in 2D materials, such as second- and third-harmonic generation, we prove that the nonlinear response of such nanostructures can be rigorously determined using two linear simulations. In the first simulation, one computes the linear response of the system upon its excitation by a pulsed incoming wave, whereas in the second one the system is excited by a nonlinear GS, which is determined by the linear near-field calculated in the first linear simulation. This new method is particularly suitable for the analysis of dispersive and nonlinear 2D materials, such as graphene and transition-metal dichalcogenides, chiefly because, unlike the case of most alternative approaches, it does not require the thickness of the 2D material. To investigate the accuracy of the proposed GS-FDTD method and illustrate its versatility, the linear and nonlinear responses of graphene gratings have been calculated and compared to results obtained using alternative methods. Importantly, the proposed GS-FDTD can be extended to three-dimensional bulk nonlinearities, rendering it a powerful tool for the design and analysis of more complicated nanodevices.
date: 2018-11
date_type: published
publisher: OPTICAL SOC AMER
official_url: https://doi.org/10.1364/JOSAB.35.002754
oa_status: green
full_text_type: other
language: eng
primo: open
primo_central: open_green
article_type_text: Article
verified: verified_manual
elements_id: 1602865
doi: 10.1364/JOSAB.35.002754
language_elements: English
lyricists_name: Panoiu, Nicolae-Coriolan
lyricists_name: You, Jianwei
lyricists_id: NPANO59
lyricists_id: JWYOU76
actors_name: Novi, Maya
actors_id: MNOVI52
actors_role: owner
full_text_status: public
publication: Journal of the Optical Society of America B
volume: 35
number: 11
pagerange: 2754-2763
pages: 10
issn: 1520-8540
citation:        You, JW;    Threlfall, E;    Gallagher, DFG;    Panoiu, NC;      (2018)    Computational analysis of dispersive and nonlinear 2D materials by using a GS-FDTD method.                   Journal of the Optical Society of America B , 35  (11)   pp. 2754-2763.    10.1364/JOSAB.35.002754 <https://doi.org/10.1364/JOSAB.35.002754>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10064274/1/You_GS_FDTD_Revised.pdf