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Non-singular arbitrary cloaks dressing three-dimensional anisotropic obstacles

2010/04/29 by G. Dupont, S. Guenneau, S. Enoch · 2 citations
Materials Science · Physics and Astronomy · #Cloak #Computation #Discontinuity (linguistics) #Eigenvalues and eigenvectors #Electromagnetic Scattering and Analysis #Matrix (chemical analysis) #Metamaterials and Metasurfaces Applications #Quasicrystal Structures and Properties #Scattering #Surface (topology) #Surface of revolution #Transformation (genetics) #physics.comp-ph #physics.optics

paper · pdf · doi:10.1080/09500340.2011.573878

published in Journal of Modern Optics 58(9), 786-795 (Taylor & Francis) · 7 pages, 4 figures

arxiv created 2010/04/29 · openalex publication_date 2011/05/16 · arxiv updated 2015/05/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We designed three-dimensional electromagnetic cloaks, starting from a small region of complex shape instead of a point. We derive the expression of a transformation matrix describing an object with a surface of revolution and its associated non-singular cloak. We note that while none of the eigenvalues vanish inside the cloak, they suffer a discontinuity on its inner surface. Moreover, all three eigenvalues are independent of the radius in the concealed object. The validity of our analytical results is confirmed by finite edge-element computations showing scattering is much reduced when two objects are dressed with their accompanying cloak. We note that neither the objects nor the cloaks are invisible on their own.

Citations