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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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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
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa55432
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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 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.
Keywords: Chiral; Dispersive; Co-volume; Finite difference; Unstructured mesh
College: College of Engineering
Issue: 1
Start Page: 251
End Page: 263