Tunable Third-Order Nonlinear Optical Response in ϵ -Near-Zero Multilayer Metamaterials

Abstract

Metamaterials with properly engineered linear and nonlinear optical response are of great interest for many advanced applications in nanophotonics and quantum optics. In the present work, we perform a detailed spectral investigation of the third-order nonlinear optical properties (nonlinear refractive index and nonlinear absorption coefficient) of $ϵ$-near-zero ${\mathrm{Au/Al}}_{2}{\mathrm{O}}_{3}$ multilayer metamaterials in a broad range of the visible spectrum across their $ϵ$-near-zero (ENZ) wavelength, at different incidence angles with TE- and TM-polarized light. Multilayers with different gold filling fractions (16 and 33%) are produced by magnetron sputtering to tune the spectral position of the $ϵ$-near-zero wavelength. The results demonstrate that a continuous modulation of the linear and nonlinear optical parameters of these metamaterials can be obtained as a function of the angle of incidence, with a peak of the nonlinear optical coefficients close to the ENZ wavelength. A model is proposed to describe the nonlinear optical response of the metamaterials, and an optimal agreement between experimental and simulated results is obtained in all the configurations explored. This model represents a useful tool to design multilayer metamaterials with tailored nonlinear optical properties, to be used in different experimental configurations.