Transmission and Reflection through $1$D Metallo-Dielectric Gratings of Real Metals under Sub-wavelength Condition

TL;DR

This paper develops an analytical model for light transmission and reflection in 1D metallo-dielectric gratings with real metals under sub-wavelength conditions, revealing how grating parameters affect Fabry-Perot resonance intensities.

Contribution

It introduces a new analytical model for sub-wavelength 1D metallo-dielectric gratings with real metals, detailing how thickness, dielectric constant, and slit width influence resonance behavior.

Findings

Transmission decreases with increased grating thickness and dielectric constant.

Resonance intensity increases with slit width.

Resonance intensity is independent of grating period and incidence angle when P << λ.

Abstract

Under the sub-wavelength condition ($w<\lambda/2$), an analytical model of light transmission and reflection through $1$D metallo-dielectric gratings of real metals has been developed. It has been shown that the transmission intensity associated with the Fabry-Perot (FP) resonance of a $1$D metallo-dielectric grating of a real metal decreases with the increasing grating thickness and the dielectric constant of the ridge material. Further, it has also been demonstrated that the intensity of the FP resonance increases with the increasing slit width while it is independent of the grating period ($P$) and the incidence angle (when $P << \lambda$