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EM modelling of arbitrary shaped dispersive chiral dielectric objects using a 3D leapfrog scheme on unstructured meshes

A. Gansen, M. El Hachemi, S. Belouettar, Oubay Hassan Orcid Logo, Kenneth Morgan Orcid Logo

Computational Mechanics, Volume: 67, Issue: 1, Pages: 251 - 263

Swansea University Authors: Oubay Hassan Orcid Logo, Kenneth Morgan Orcid Logo

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DOI (Published version): 10.1007/s00466-020-01930-1

Abstract

The standard Yee FDTD algorithm is widely used in computational electromagnetics because of its simplicity and divergence free nature. A generalization of this classical scheme to 3D unstructured co-volume meshes is adopted, based on the use of a Delaunay primal mesh and its high quality Voronoi dua...

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Published in: Computational Mechanics
ISSN: 0178-7675 1432-0924
Published: Springer Science and Business Media LLC 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa55432
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spelling 2022-10-31T18:11:03.6133707 v2 55432 2020-10-16 EM modelling of arbitrary shaped dispersive chiral dielectric objects using a 3D leapfrog scheme on unstructured meshes 07479d73eba3773d8904cbfbacc57c5b 0000-0001-7472-3218 Oubay Hassan Oubay Hassan true false 17f3de8936c7f981aea3a832579c5e91 0000-0003-0760-1688 Kenneth Morgan Kenneth Morgan true false 2020-10-16 CIVL The standard Yee FDTD algorithm is widely used in computational electromagnetics because of its simplicity and divergence free nature. A generalization of this classical scheme to 3D unstructured co-volume meshes is adopted, based on the use of a Delaunay primal mesh and its high quality Voronoi dual. This circumvents the problem of accuracy losses, which are normally associated with the use of a staircased representation of curved material interfaces in the standard Yee scheme. The procedure has been successfully employed for modelling problems involving both isotropic and anisotropic lossy materials. Here, we consider the novel extension of this approach to allow for the challenging modelling of chiral materials, where the material parameters are frequency dependent. To adequately model the dispersive behaviour, the Z-transform is employed, using second order Padé approximations to maintain the accuracy of the basic scheme. To validate the implementation, the numerical results produced are compared with available analytical solutions. The stability of the chiral algorithm is also studied. Journal Article Computational Mechanics 67 1 251 263 Springer Science and Business Media LLC 0178-7675 1432-0924 Chiral; Dispersive; Co-volume; Finite difference; Unstructured mesh 1 1 2021 2021-01-01 10.1007/s00466-020-01930-1 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2022-10-31T18:11:03.6133707 2020-10-16T16:50:07.2735396 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering A. Gansen 1 M. El Hachemi 2 S. Belouettar 3 Oubay Hassan 0000-0001-7472-3218 4 Kenneth Morgan 0000-0003-0760-1688 5 55432__18435__8bd498c37e774542ad1bdc465543fc21.pdf 55432.pdf 2020-10-16T16:51:29.7832266 Output 2127504 application/pdf Version of Record true This article is licensed under a Creative Commons Attribution 4.0 International License. true eng http://creativecommons.org/licenses/by/4.0
title EM modelling of arbitrary shaped dispersive chiral dielectric objects using a 3D leapfrog scheme on unstructured meshes
spellingShingle EM modelling of arbitrary shaped dispersive chiral dielectric objects using a 3D leapfrog scheme on unstructured meshes
Oubay Hassan
Kenneth Morgan
title_short EM modelling of arbitrary shaped dispersive chiral dielectric objects using a 3D leapfrog scheme on unstructured meshes
title_full EM modelling of arbitrary shaped dispersive chiral dielectric objects using a 3D leapfrog scheme on unstructured meshes
title_fullStr EM modelling of arbitrary shaped dispersive chiral dielectric objects using a 3D leapfrog scheme on unstructured meshes
title_full_unstemmed EM modelling of arbitrary shaped dispersive chiral dielectric objects using a 3D leapfrog scheme on unstructured meshes
title_sort EM modelling of arbitrary shaped dispersive chiral dielectric objects using a 3D leapfrog scheme on unstructured meshes
author_id_str_mv 07479d73eba3773d8904cbfbacc57c5b
17f3de8936c7f981aea3a832579c5e91
author_id_fullname_str_mv 07479d73eba3773d8904cbfbacc57c5b_***_Oubay Hassan
17f3de8936c7f981aea3a832579c5e91_***_Kenneth Morgan
author Oubay Hassan
Kenneth Morgan
author2 A. Gansen
M. El Hachemi
S. Belouettar
Oubay Hassan
Kenneth Morgan
format Journal article
container_title Computational Mechanics
container_volume 67
container_issue 1
container_start_page 251
publishDate 2021
institution Swansea University
issn 0178-7675
1432-0924
doi_str_mv 10.1007/s00466-020-01930-1
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description The standard Yee FDTD algorithm is widely used in computational electromagnetics because of its simplicity and divergence free nature. A generalization of this classical scheme to 3D unstructured co-volume meshes is adopted, based on the use of a Delaunay primal mesh and its high quality Voronoi dual. This circumvents the problem of accuracy losses, which are normally associated with the use of a staircased representation of curved material interfaces in the standard Yee scheme. The procedure has been successfully employed for modelling problems involving both isotropic and anisotropic lossy materials. Here, we consider the novel extension of this approach to allow for the challenging modelling of chiral materials, where the material parameters are frequency dependent. To adequately model the dispersive behaviour, the Z-transform is employed, using second order Padé approximations to maintain the accuracy of the basic scheme. To validate the implementation, the numerical results produced are compared with available analytical solutions. The stability of the chiral algorithm is also studied.
published_date 2021-01-01T04:09:38Z
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score 11.013148

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