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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Format: | Article |
Language: | en_US |
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Optical Society of America
2009
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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. |
first_indexed | 2024-09-23T14:33:07Z |
format | Article |
id | mit-1721.1/49474 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T14:33:07Z |
publishDate | 2009 |
publisher | Optical Society of America |
record_format | dspace |
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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