“…4 Plasmonic metamaterials have wide applications on light energy trapping, subwavelength microscopy, optical computing, optical cloaking, biomedical and chemical sensing. [5][6][7][8][9] In the optical range, a lot of plasmonic metamaterials have been reported such as reconfigurable plasmonic metamaterials, 10,11 plasmonic metamaterial absorbers, 12,13 low-loss plasmonic metamaterials, 14,15 and hyperbolic metamaterials. 16,17 In most of these research efforts, the plasmonic metamaterials are typically designed by solving Maxwell's equations based on the classic electromagnetic wave theory.…”