Babinet's principle and saturation of the resonance frequency of scaled-down complementary metasurfaces

Abstract

It has been previously demonstrated that the resonant frequency of the Split Ring Resonator (SRR) reaches a saturation value when its size is continuously scaled down, and at the same time, the resonance is attenuated. Now, it is demonstrated that similar saturation and attenuation phenomena happens to its complementary screen, which is commonly called a Complementary SRR (CSRR). It was found that the saturation frequency of the CSRR is near the saturation frequency of the SRR with equal geometrical dimensions. It is possible to control their saturation levels by tuning the geometry of the resonators. This work is relevant for the design of quasi-optical metamaterials based on one or both kinds of structures (i.e., SRRs and CSRRs) at once, especially when they both are required to resonate at the same frequency.

Terahertz tunable vanadium dioxide metasurface for dynamic illusion and cloaking

“…According to the LC equivalent circuit theory, the performance of the SRR is mainly affected by the thickness t m , opening radian β , radius r , and width w . 44 After optimizing (Refer to the supplemental information S1 for details), the thicknesses of the gold, VO 2 , and SiO 2 are 0.2 μm, 0.2 μm, and 35 μm. The period P of the unit cell is 200 μm.…”