Fano-Type Resonance of Waves in Periodic Slabs
  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. 
Natalia Ptitsyna, Stephen P. Shipman, Stephanos Venakides