Active exterior cloaking and mimicking for the heat equation
| Autor: | M. Cassier, T. DeGiovanni, S. Guenneau, F. Guevara Vasquez |
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| Přispěvatelé: | EPSILON (EPSILON), Institut FRESNEL (FRESNEL), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Department of Mathematics and Statistics [Utah] (Mathematics & Statistics), College of Sciences [Utah], Utah State University (USU)-Utah State University (USU), TD and FGV were supported by the National Science Foundation Grant DMS-2008610., IEEE |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Metamaterials'2022-The 16th International Congress on Artificial Materials for Novel Wave Phenomena Metamaterials'2022-The 16th International Congress on Artificial Materials for Novel Wave Phenomena, Sep 2022, Sienna, Italy. pp.178--180, ⟨10.1109/Metamaterials54993.2022.9920799⟩ |
| DOI: | 10.1109/Metamaterials54993.2022.9920799⟩ |
| Popis: | Sébastien Guenneau was the speaker at the conference.; International audience; We present two methods for cloaking objects from thermal measurements that use active sources instead of metamaterials. One method deals with the parabolic heat equation [1], in which case active sources need to completely surround the object to cloak or mimic. Another method [2], for which the sources do not completely surround the object to cloak, relies on the frequency domain formulation of the heat equation as a Helmholtz equation with complex wave numbers. This second method extends the active exterior cloaking for waves modelled with the Helmholtz equation in [3] from positive wavenumbers to complex ones [2]. We point out the second method can be applied to waves in dispersive media. |
| Databáze: | OpenAIRE |
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