Métamatériaux localement résonants : cristaux photoniques et phononiques sub-longueur d’onde

Abstract : This thesis deals with the control of the wave propagation at deep sub-wavelength scales in locally resonant metamaterials. Those composite media are composed of small resonators arranged on spatial scales much smaller than their typical wavelength at resonance. They are hence generally considered as homogeneous media and described with effective parameters. We here prove that, going beyond those homogenization approaches, the properties of most metamaterials can be reinterpreted at the light of a microscopic approach. The latter evidences that the wave propagation in metamaterials only results from phenomenon analog to what happens in photonic/phononic crystals: namely interferences and multiple scattering. We hence demonstrate that concepts developed for wave manipulation in photonic/phononic crystals can be transposed in metamaterials while taking advantage of the latter sub-wavelength spatial organization. For instance, locally modifying the medium, at the scale of the unit cell, creates cavities and waveguides confining and guiding waves on dimensions that are independent of the wavelength. We further study the possibility offered by those waveguides to both mold and slow down the flow of waves. We finally highlight the importance of the spatial subwavelength structuration of metamaterials due to the presence of multiple scattering. We prove that a so-called single negative metamaterial (presenting only one negative effective property) can be turned into a double negative one (hence presenting a negative index of refraction), simply by smartly organizing the building blocks of the metamaterial, at scales much smaller than the wavelength.
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Contributor : Nadège Kaina <>
Submitted on : Friday, December 16, 2016 - 2:31:15 PM
Last modification on : Thursday, July 4, 2019 - 11:00:07 AM
Long-term archiving on : Monday, March 20, 2017 - 7:04:03 PM


  • HAL Id : tel-01418210, version 1


Nadège Kaina. Métamatériaux localement résonants : cristaux photoniques et phononiques sub-longueur d’onde. Optique [physics.optics]. Université Paris 7, 2016. Français. ⟨tel-01418210⟩



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