Analysis of single-layer metamaterial absorber with reflection theory

A reflection theory is employed to analyze a single-layered metamaterial absorber. With the necessary conditions for zero reflection, the permittivity and permeability as functions of absorptivity were obtained, which are suitable for analyzing the absorption properties of single-layered metamaterial absorber at both normal and oblique incidence cases. With the obtained expressions, it not only can explain why the absorption peaks monotonously decrease with increasing of the incident angles but also can explore the relationship between the absorptivity and spacer thickness of the dielectric slab. A Jerusalem cross metamaterial absorber was simulated and verified the validity of this proposed reflection theory. The main contribution of our work is that it can explain the physical mechanism of the various absorption peaks by using the analytical formula and highlights its potential guidance for designing and analyzing metamaterial absorbers in the future. (C) 2015 AIP Publishing LLC.