Fano-Type Resonance of Waves in Periodic Slabs

TL;DR

This paper studies Fano-type resonance phenomena in wave transmission through periodic slabs, using rigorous analytic methods to understand how non-robust guided modes cause anomalous energy transmission.

Contribution

It introduces a general analytic perturbation approach to analyze Fano resonances in periodic structures with non-robust guided modes.

Findings

Identifies conditions for Fano resonance in periodic slabs.

Provides a rigorous mathematical framework for wave scattering near guided modes.

Applicable to a wide class of structures, both continuous and discrete.

Abstract

We investigate Fano-type anomalous transmission of energy of plane waves across lossless slab scatterers with periodic structure in the presence of non-robust guided modes. Our approach is based on rigorous analytic perturbation of the scattering problem near a guided mode and applies to very general structures, continuous and discrete.