2016/08/10 by J. O'Neill, Jane O'Neill, O'Neill, Jane +11
Engineering · Materials Science · Physics and Astronomy · #Advanced Antenna and Metasurface Technologies #Classical Physics (physics.class-ph) #Electromagnetic Scattering and Analysis #FOS: Physical sciences #Metamaterials and Metasurfaces Applications #physics.class-ph
paper · pdf · doi:10.48550/arxiv.1608.08512
20 pages, 13 figures
arxiv created 2016/08/10 · openalex publication_date 2016/08/10 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper considers active cloaking of a square array of evenly spaced pins in a Kirchhoff plate in the presence of flexural waves. Active sources are distributed exterior to the cluster and are represented by the non-singular Green's function for the biharmonic operator. The complex amplitudes of the active sources, which cancel out selected multipole orders of the scattered field, are found by solving an algebraic system of equations. For frequencies in the zero-frequency stop band, we find that a small number of active sources located on a grid is sufficient for cloaking. For higher frequencies, we achieve efficient cloaking with the active sources positioned on a circle surrounding the cluster. We demonstrate the cloaking efficiency with several numerical illustrations, considering key frequencies from band diagrams and dispersion surfaces for a Kirchhoff plate pinned in a doubly periodic fashion.