Accurate FDTD simulation of anisotropic media by subpixel smoothing

Finite-difference time-domain (FDTD) methods suffer from reduced accuracy when discretizing discontinuous materials. We previously showed that accuracy can be significantly improved by using subpixel smoothing of the isotropic dielectric function, but only if the smoothing scheme is properly desi...

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Main Authors: Oskooi, Ardavan, Kottke, Chris, Johnson, Steven G.
Other Authors: Massachusetts Institute of Technology. Center for Materials Science and Engineering
Format: Article
Language:en_US
Published: Optical Society of America 2009
Online Access:http://hdl.handle.net/1721.1/49474
https://orcid.org/0000-0001-7327-4967
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author Oskooi, Ardavan
Kottke, Chris
Johnson, Steven G.
author2 Massachusetts Institute of Technology. Center for Materials Science and Engineering
author_facet Massachusetts Institute of Technology. Center for Materials Science and Engineering
Oskooi, Ardavan
Kottke, Chris
Johnson, Steven G.
author_sort Oskooi, Ardavan
collection MIT
description Finite-difference time-domain (FDTD) methods suffer from reduced accuracy when discretizing discontinuous materials. We previously showed that accuracy can be significantly improved by using subpixel smoothing of the isotropic dielectric function, but only if the smoothing scheme is properly designed. Using recent developments in perturbation theory that were applied to spectral methods, we extend this idea to anisotropic media and demonstrate that the generalized smoothing consistently reduces the errors and even attains secondorder convergence with resolution.
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spelling mit-1721.1/494742022-09-29T09:47:50Z Accurate FDTD simulation of anisotropic media by subpixel smoothing Accurate finite-difference time-domain simulation of anisotropic media by subpixel smoothing Oskooi, Ardavan Kottke, Chris Johnson, Steven G. Massachusetts Institute of Technology. Center for Materials Science and Engineering Massachusetts Institute of Technology. Department of Mathematics Johnson, Steven G. Oskooi, Ardavan Kottke, Chris Johnson, Steven G. Finite-difference time-domain (FDTD) methods suffer from reduced accuracy when discretizing discontinuous materials. We previously showed that accuracy can be significantly improved by using subpixel smoothing of the isotropic dielectric function, but only if the smoothing scheme is properly designed. Using recent developments in perturbation theory that were applied to spectral methods, we extend this idea to anisotropic media and demonstrate that the generalized smoothing consistently reduces the errors and even attains secondorder convergence with resolution. 2009-10-19T13:40:44Z 2009-10-19T13:40:44Z 2009-09 2009-05 Article http://purl.org/eprint/type/SubmittedJournalArticle 0146-9592 http://hdl.handle.net/1721.1/49474 Ardavan F. Oskooi, Chris Kottke, and Steven G. Johnson, "Accurate finite-difference time-domain simulation of anisotropic media by subpixel smoothing," Opt. Lett. 34, 2778-2780 (2009) https://orcid.org/0000-0001-7327-4967 en_US http://dx.doi.org/10.1364/OL.34.002778 Optics Letters Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Optical Society of America Ardavan F. Oskooi
spellingShingle Oskooi, Ardavan
Kottke, Chris
Johnson, Steven G.
Accurate FDTD simulation of anisotropic media by subpixel smoothing
title Accurate FDTD simulation of anisotropic media by subpixel smoothing
title_full Accurate FDTD simulation of anisotropic media by subpixel smoothing
title_fullStr Accurate FDTD simulation of anisotropic media by subpixel smoothing
title_full_unstemmed Accurate FDTD simulation of anisotropic media by subpixel smoothing
title_short Accurate FDTD simulation of anisotropic media by subpixel smoothing
title_sort accurate fdtd simulation of anisotropic media by subpixel smoothing
url http://hdl.handle.net/1721.1/49474
https://orcid.org/0000-0001-7327-4967
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