Two-scale homogenization to determine effective parameters of thin metallic-structured films

Jean-Jacques Marigo; Agnès Maurel

Two-scale homogenization to determine effective parameters of thin metallic-structured films

Jean-Jacques Marigo ¹ Agnès Maurel ²

1 LMS - Laboratoire de mécanique des solides

Abstract : We present a homogenization method based on matched asymptotic expansion technique to derive effective transmission conditions of thin structured films. The method leads unambiguously to effective parameters of the interface which define jump conditions or boundary conditions at an equivalent zero thickness interface. The homogenized interface model is presented in the context of electromagnetic waves for metallic inclusions associated with Neumann or Dirichlet boundary conditions for transverse electric or transverse magnetic wave polarization. By comparison with full-wave simulations, the model is shown to be valid for thin interfaces up to thicknesses close to the wavelength. We also compare our effective conditions with the two-sided impedance conditions obtained in transmission line theory and to the so-called generalized sheet transition conditions

Document type :

Journal articles

Domain :

Physics [physics] / Mechanics [physics] / Mechanics of the solides [physics.class-ph]

Complete list of metadatas

https://hal-polytechnique.archives-ouvertes.fr/hal-01657096
Contributor : Jean-Jacques Marigo <>
Submitted on : Wednesday, December 6, 2017 - 12:54:20 PM
Last modification on : Thursday, July 4, 2019 - 11:00:07 AM

2016_PRSA.pdf

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Two-scale homogenization to determine effective parameters of thin metallic-structured films

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