Skip to Main content Skip to Navigation
Book sections

Homogenization of Thin and Thick Metamaterials and Applications

Abstract : The wave propagation in structures involving metamaterials can be described owing to homogenization approaches which allow to replace the material structured at the subwavelength scale by an equivalent and simpler, effective medium. In its simplest form, homogenization predicts that the equivalent medium is homogeneous and aniso-tropic and it is associated to the usual relations of continuity for the electric and magnetic fields at the boundaries of the metamaterial structure. However, such prediction has a range of validity which remains limited to relatively thick devices and it is not adapted to more involved geometries (notably three-dimensional). The following two aspects are considered: (i) we study how the homogenization at the leading order can be improved when the thickness of the device becomes small and (ii) we propose a heuris-tic extension of the solution given by the leading order homogenization in order to deal with a complex geometry; in the latter case, an application to a demultiplexer device is proposed.
Complete list of metadatas

Cited literature [7 references]  Display  Hide  Download
Contributor : Jean-Jacques Marigo <>
Submitted on : Wednesday, December 6, 2017 - 9:57:43 PM
Last modification on : Saturday, September 26, 2020 - 11:44:09 PM


Publisher files allowed on an open archive



Abdelwaheb Ourir, Yao Gao, Agnès Maurel, Jean-Jacques Marigo. Homogenization of Thin and Thick Metamaterials and Applications. Alejandro Lucas Borja. Metamaterials - Devices and Applications, InTech, pp.149-165, 2017, 978-953-51-3100-7. ⟨10.5772/66035⟩. ⟨hal-01657592⟩



Record views


Files downloads