Two-mode model for metal-dielectric guided-mode resonance filters

Abstract

Symmetric metal-dielectric guided-mode resonators (GMR) can operate as infrared band-pass filters, thanks to high-transmission resonant peaks and good rejection ratio. Starting from matrix formalism, we show that the behavior of the system can be described by a two-mode model. This model reduces to a scalar formula and the GMR is described as the combination of two independent Fabry-Perot resonators. The formalism has then been applied to the case of asymmetric GMR, in order to restore the properties of the symmetric system. This result allows designing GMR-on-substrate as efficient as free-standing systems, the same high transmission maximum value and high quality factor being conserved.

Ultra-Narrowband High-Transmissivity Guided-Mode Resonance Filter Based on Dual Dielectric Film Structure and High Refractive Index Waveguide Layer

“…Existing transmission filters in the visible range suffer from limitations including low diffraction efficiency, wide FWHM, and high sidebands, which lead to structural color issues such as reduced saturation and accuracy of color resolution. Compared with other filters, the waveguide structure of GMR breaks the diffraction limit and realizes light manipulation, while offering the advantages of high diffraction efficiency and extremely narrow FWHM [20], [21], [22]. This makes RGM filters one of the current hot topics.…”