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Finite element study of the Lorentz model in metamaterials

✍ Scribed by Jichun Li

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
853 KB
Volume
200
Category
Article
ISSN
0045-7825

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✦ Synopsis

Metamaterials are materials with electromagnetic properties that originate from artificial subwavelength structures. Although the Lorentz metamaterial model has been used by physicists and electrical engineers, its mathematical properties have not been investigated yet. Also more robust and efficient algorithms for time-domain simulations are needed. In this paper, we initiate our work in this respect by developing some finite element schemes for solving the Lorentz model. Stability and error analysis are proved for these schemes, and 2-D numerical results justifying our theoretical results are presented.

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Further comments on the performances of
Further comments on the performances of finite element simulators for the solution of electromagnetic problems involving metamaterials
✍ Gaia Cevini; Giacomo Oliveri; Mirco Raffetto πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 192 KB

## Abstract In this paper, we analyze the performances of three‐dimensional finite element (FE) simulators in handling electromagnetic scattering problems involving metamaterials. It has already been proved that the performances of the FE method are worse than usual, when metamaterials are consider