Geometrical transformations and equivalent materials in computational electromagnetism

A. Nicolet ^[1] ; F. Zolla ^[1] ; Y. Ould Agha ^[1] ; S. Guenneau ^[2]
1. [1] Aix-Marseille University
  
  Aix-Marseille University
  
  Arrondissement de Marseille, Francia
2. [2] University of Liverpool
  
  University of Liverpool
  
  Reino Unido
Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 27, Nº 4 (Special Issue: ISEF 2007), 2008, págs. 806-819
Idioma: inglés
Enlaces
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Resumen
- Purpose – This paper aims to review various techniques used in computational electromagnetism such as the treatment of open problems, helicoidal geometries and the design of arbitrarily shaped invisibility cloaks. This seemingly heterogeneous list is unified by the concept of geometrical transformation that leads to equivalent materials. The practical set‐up is conveniently effected via the finite element method.
  
  Design/methodology/approach – The change of coordinates is completely encapsulated in the material properties.
  
  Findings – The most significant examples are the simple 2D treatment of helicoidal geometries and the design of arbitrarily shaped invisibility cloaks.
  
  Originality/value – The paper provides a unifying point of view, bridging several techniques in electromagnetism.