2018/11/01 by Hoài-Minh Nguyên, Nguyen, Hoai-Minh, Loc Tran +1
Engineering · Materials Science · Physics and Astronomy · #35A15 #35B40 #78A40 #78M30 #Advanced Antenna and Metasurface Technologies #Analysis of PDEs (math.AP) #Electromagnetic Scattering and Analysis #FOS: Mathematics #Metamaterials and Metasurfaces Applications
paper · pdf · doi:10.48550/arxiv.1811.00406
openalex publication_date 2018/11/01 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28
We study the approximate cloaking via transformation optics for\nelectromagnetic waves in the time harmonic regime in which the cloaking device\n it only consists of a layer constructed by the mapping technique. Due to the\nfact that no-lossy layer is required, resonance might appear and the analysis\nis delicate. We analyse both non-resonant and resonant cases. In particular, we\nshow that the energy can blow up inside the cloaked region in the resonant case\nand/whereas cloaking is it achieved in it both cases. Moreover, the\ndegree of visibility it depends on the compatibility of the source inside\nthe cloaked region and the system. These facts are new and distinct from known\nmathematical results in the literature.\n