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Membrane metamaterial resonators with a sharp resonance: A comprehensive study towards practical terahertz filters and sensors
12. The Fabry-Perot resonance region is located at f = N(c/2nL) (N = 1, 2…), where f is the F-P resonance frequency, N is an integer number, c the speed of light, n is the refractive index of the substrate, and L is the thickness of the substrate. For a 22-μm-thick Mylar film with refractive index 1.7, the lowest F-P resonance is around 4 THz, which is far away from the LC and dipole resonances of the metamaterial resonators.
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We investigate the resonant properties of high quality-factor membrane-based metamaterialresonators functioning in the terahertz regime. A number of factors, including the resonator geometry, dielectric loss, and most importantly the membrane thickness are found to extensively influence the resonance strength and quality factor of the sharp resonance. Further studies on the membrane thickness-dependent-sensitivity for sensing applications reveal that high quality-factor membrane metamaterials with a moderate thickness ranging from 10 to 50 μm are the most promising option towards developing realistic integrated terahertz filters and sensors.
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