Analysis of guided resonances in photonic crystal slabs

TLDR

We present a 3‑D analysis of guided resonances in photonic crystal slab structures, leading to a new understanding of their complex spectral properties, and introduce a general physical model explaining these features. We calculate dispersion diagrams, modal patterns, and transmission/reflection spectra of the resonances, and use this insight to introduce a general physical model explaining their complex spectral properties. Our calculations reveal two temporal pathways for transmission and reflection, and show that resonance quality factors are strongly influenced by mode symmetry and index‑modulation strength.

Abstract

We present a three-dimensional analysis of guided resonances in photonic crystal slab structures that leads to a new understanding of the complex spectral properties of such systems. Specifically, we calculate the dispersion diagrams, the modal patterns, and transmission and reflection spectra of these resonances. From these calculations, a key observation emerges involving the presence of two temporal pathways for transmission and reflection processes. Using this insight, we introduce a general physical model that explains the essential features of complex spectral properties. Finally, we show that the quality factors of these resonances are strongly influenced by the symmetry of the modes and the strength of the index modulation.