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arXiv · 1704.03614

Closed-form formulae of hyperbolic metamaterial made by stacked hole-array layers working at terahertz or microwave radiation

Piyawath Tapsanit·Masatsugu Yamashita·Chiko Otani·Sriprajak Krongsuk·Chesta Ruttanapuna
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Abstract

A metamaterial made by stacked hole-array layers known as a fishnet metamaterial behaves as a hyperbolic metamaterial at wavelength much longer than hole-array period. However, the analytical formulae of effective parameters of a fishnet metamaterial have not been reported hindering the design of deep-subwavelength imaging devices using this structure. We report the new closed-form formulae of effective parameters comprising anisotropic dispersion relation of a fishnet metamaterial working at terahertz or microwave frequency. These effective parameters of a fishnet metamaterial are consistent with those obtained by quasi-full solutions using known effective parameters of a hole-array layer working at frequency below its spoof plasma frequency with the superlattice period much smaller than the hole-array period. We also theoretically demonstrate the deep-subwavelength focusing at {\lambda}/83 using the composite structure of a slit-array layer and a fishnet metamaterial. It is found that the focused intensity inside a fishnet metamaterial is several times larger than that without the fishnet metamaterial, but the transmitted intensity is still restricted by large-wavevector difference in air and a fishnet metamaterial. Our effective parameters may aid the next-generation deep-subwavelength imaging devices working at terahertz or microwave radiation.

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Piyawath Tapsanit, Masatsugu Yamashita, Chiko Otani, Sriprajak Krongsuk, Chesta Ruttanapuna. 2017-04-12. Closed-form formulae of hyperbolic metamaterial made by stacked hole-array layers working at terahertz or microwave radiation. https://doi.org/10.1364/josab.34.001930

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