# Perfect Brewster transmission through ultrathin perforated films

5 POEMS - Propagation des Ondes : Etude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique
Abstract : We address the perfect transmission of a plane acoustic wave at oblique incidence on a perforated, sound penetrable or rigid, film in two-dimensions. It is shown that the Brewster incidence $θ∗$ realizing so-called extraordinary transmission due to matched impedances varies significantly when the thicknessenof the film decreases. For thick films, $i.e. ke≫1 with k$ the incident wavenumber, the classical effective medium model provides an accurate prediction of the Brewster angle independent of e (this Brewster angle is denoted $θB$). However, for thinner films withke $<1,θ∗$ becomes dependent of e and it deviates from $θB$. To properly describe this shift, an interface model is used (Marigo et al., 2017) which accurately reproduces the spectra of ultrathin to relatively thick perforated films. Depending on the contrasts in the material properties of the film and of the surrounding matrix, decreasing the film thickness can produce an increaseor a decrease of $θ∗$; it can also produce the disappearance of a perfect transmission orto the contrary its appearance.
Document type :
Journal articles

https://hal-ensta-paris.archives-ouvertes.fr//hal-02456286
Contributor : Kim Pham <>
Submitted on : Monday, January 27, 2020 - 11:31:42 AM
Last modification on : Wednesday, May 13, 2020 - 11:42:02 AM

### Citation

Kim Pham, Agnès Maurel, J.-F. Mercier, Simon Félix, Maria Luisa Cordero, et al.. Perfect Brewster transmission through ultrathin perforated films. Wave Motion, Elsevier, 2020, 93, pp.102485. ⟨10.1016/j.wavemoti.2019.102485⟩. ⟨hal-02456286⟩

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