We propose and theoretically demonstrate the existence of Spoof surface waves in the terahertz spectral range (0.1-1 THz). Those surface waves supported by a corrugated surface with subwavelength patterning, in opposition of the Spoof Plasmons, are made of non-conductive lossless materials with positive permittivity. Particularly, we focus on the theoretical study and engineering of an infinite corrugated surface with 1D array of grooves made of lossless high permittivity material able to support Spoof Surface waves in the terahertz spectral range. An analytic derivation of the dispersion relation is presented in the case of deeply subwavelength period of a corrugated structure using impedance boundary conditions at the interfaces and are verified numerically. In addition, various optical properties such as the modal size and the propagation distances of those surface waves are studied, where we theoretically show that the studied ideal metamaterial can be engineered to support well defined surface waves with subwavelength modal size in the spectral range 0.1-1 THz, thus could lead to new revolution in multiple domains such as terahertz sensing. Finally, the possibility of an ideal amplitude-bases sensor made of the corrugated surface made of high positive permittivity material such as TiO2 ceramic utilizing Spoof surface waves to interrogate various analytes is discussed.
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