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| Naji, M. |
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| Motta, Antonella |
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| Aletan, Dirar |
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| Mohamed, Tarek |
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| Ertürk, Emre |
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| Taccardi, Nicola |
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| Kononenko, Denys |
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| Petrov, R. H. | Madrid |
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| Alshaaer, Mazen | Brussels |
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| Bih, L. |
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| Casati, R. |
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| Muller, Hermance |
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| Kočí, Jan | Prague |
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| Šuljagić, Marija |
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| Kalteremidou, Kalliopi-Artemi | Brussels |
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| Azam, Siraj |
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| Ospanova, Alyiya |
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| Blanpain, Bart |
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| Ali, M. A. |
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| Popa, V. |
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| Rančić, M. |
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| Ollier, Nadège |
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| Azevedo, Nuno Monteiro |
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| Landes, Michael |
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| Rignanese, Gian-Marco |
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Enoch, Stefan
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (22/22 displayed)
- 2023Uniform Huygens Metasurfaces with Postfabrication Phase Pattern Recording Functionalitycitations
- 2023Encaved optical fiber nano-probe exciting whispering gallery mode resonance with focused far off-axis beamcitations
- 2022Hilbert fractal inspired dipoles for passive RF shimming in ultra-high field MRIcitations
- 2022Hilbert fractal inspired dipoles for passive RF shimming in ultra-high field MRIcitations
- 2022Evaluation of new MR invisible silicon carbide based dielectric pads for 7 T MRIcitations
- 2022Evaluation of new MR invisible silicon carbide based dielectric pads for 7 T MRIcitations
- 2020Bi-anisotropic homogenization of metamaterials
- 2020Bi-anisotropic homogenization of metamaterials ; Homogénéisation bi-anisotrope des métamatériaux
- 2019MRM Probe at 17 Tesla based on High Permittivity Dielectric Resonators
- 2019Two-orders fast multipole analysis of meta-atoms
- 2019Controlling frequency dispersion in electromagnetic invisibility cloakscitations
- 2019Photosensitive chalcogenide metasurfaces supporting bound states in the continuumcitations
- 2017Compressed perovskite aqueous mixtures near their phase transitions show very high permittivities: New prospects for high-field MRI dielectric shimmingcitations
- 2017Measurement and simulation of the polarization-dependent Purcell factor in a microwave fishnet metamaterialcitations
- 2017Measurement and simulation of the polarization-dependent Purcell factor in a microwave fishnet metamaterialcitations
- 2015Direct laser writing of thick metamaterial blocks: Infrared light concentrators
- 2015Direct laser writing of thick metamaterial blocks: Infrared light concentrators
- 2012Enhanced control of light and sound trajectories with three-dimensional gradient index lensescitations
- 2011Numerical Analysis of Three-dimensional Acoustic Cloaks and Carpets
- 2009Negative refraction, surface modes, and superlensing effect via homogenization near resonances for a finite array of split-ring resonatorscitations
- 2009Acoustic cloaking and mirages with flying carpets
- 2007InGaN green light emitting diodes with deposited nanoparticles
Places of action
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report
Numerical Analysis of Three-dimensional Acoustic Cloaks and Carpets
Abstract
Latex, 21 pages, 7 Figures, last version submitted to Wave Motion. OCIS Codes: (000.3860) Mathematical methods in physics; (260.2110) Electromagnetic theory; (160.3918) Metamaterials; (160.1190) Anisotropic optical materials; (350.7420) Waves; (230.1040) Acousto-optical devices; (160.1050) Acousto-optical materials; (290.5839) Scattering,invisibility; (230.3205) Invisibility cloaks ; We start by a review of the chronology of mathematical results on the Dirichlet-to-Neumann map which paved the way towards the physics of transformational acoustics. We then rederive the expression for the (anisotropic) density and bulk modulus appearing in the pressure wave equation written in the transformed coordinates. A spherical acoustic cloak consisting of an alternation of homogeneous isotropic concentric layers is further proposed based on the effective medium theory. This cloak is characterised by a low reflection and good efficiency over a large bandwidth for both near and far fields, which approximates the ideal cloak with a inhomogeneous and anisotropic distribution of material parameters. The latter suffers from singular material parameters on its inner surface. This singularity depends upon the sharpness of corners, if the cloak has an irregular boundary, e.g. a polyhedron cloak becomes more and more singular when the number of vertices increases if it is star shaped. We thus analyse the acoustic response of a non-singular spherical cloak designed by blowing up a small ball instead of a point, as proposed in [Kohn, Shen, Vogelius, Weinstein, Inverse Problems 24, 015016, 2008]. The multilayered approximation of this cloak requires less extreme densities (especially for the lowest bound). Finally, we investigate another type of non-singular cloaks, known as invisibility carpets [Li and Pendry, Phys. Rev. Lett. 101, 203901, 2008], which mimic the reflection by a flat ground.