Abstract
Optical metamaterials such as hyperbolic metamaterials (HMMs) have a unique property that exhibits high-k modes due to hyperbolic dispersion and the existence of epsilon-near-zero (ENZ) in their electromagnetic spectral range. Besides the existence of ENZ wavelength, HMMs can enhance the radiative recombination rate (spontaneous emission) of quantum emitters. Recently, researchers have investigated deeply the linear properties of ENZ metamaterials. Such investigations lead to achieving a broad range of applications such as novel waveguiding regimes and controlling the radiation pattern of electromagnetic sources [1] - [2] . In addition, experimental evidence is presented for the role of ENZ metamaterials to affect optical nonlinearity. Such effect demonstrates the efficient third harmonic generation and nonlinear Kerr index n2 for TCO (transparent conductive oxides) materials and HMMs [3] - [5] .
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