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High permittivity SrTiO3 for the realization of all-dielectric metamaterials operating at terahertz frequencies was fabricated. A comparison of different processing routes evidences that Spark Plasma Sintering is the most effective sintering process to yield high density ceramic with high permittivity. We compare this sintering process with two others. The elaborated samples are characterized in the low frequency and in the terahertz frequency ranges. Their relative permittivities are compared with that a reference \sto single crystal. The permittivity of the sample elaborated by Spark Plasma Sintering is as high as that the single crystal., Comment: 13 pages with supplementary material - 4 figures

We report on the role of the coupling of the modes of Mie resonances in all-dielectric metamaterials to ensure negative effective index at terahertz frequencies. We study this role according to the lattice period and according to the frequency overlapping of the modes of resonance. We show that negative effective refractive index requires sufficiently strong mode coupling and that for even more strong mode coupling, the first two modes of Mie resonances are degenerated; the effective refractive index is then undeterminded. We also show that adjusting the mode coupling leads to near-zero effective index, or even null effective index. Further, we compare the mode coupling effect with hybridization in metamaterials., Comment: 17pages, 10 figures