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Fabry-Pérot-like resonance of a subwavelength single slit for measurement of permittivities of microcrystalline liquids/gases

Permittivity is an important parameter to describe the electromagnetic properties of materials. When the plane wave impinges on a subwavelength single slit, it goes back and forth between the incident end and the outgoing end, which can be modeled as a Fabry-Pérot-like cavity. The transmission can be expressed by a simple Fabry-Pérot equivalent formula and all the details of the observed transmission spectra can be explained with the characteristics of the Fabry-Pérot resonance. And the efficiency of the F-P resonance is quite sensitive to the microcrystalline dielectric material filled in the slit. Therefore, permittivity of the microcrystalline dielectric in the slit can be obtained by measuring the positions of these resonant peaks, thus to determine the ingredient of the dielectric, which provides a new reference method for nano-metric sensors.