“…Multilayer metal-dielectric gratings and hole arrays have also been shown to produce numerous interesting optical effects, including EOT, negative index of refraction, and slow and fast light modes [9,10]. Besides these optical modes, phase resonances (also called π resonances) are a type of Fano resonance that have been attracting more attention due to their unusual optical properties, including their effect of flipping the transmittivity/opacity of a film, producing light circulating modes, trapping and stopping light, producing negative dispersion and negative index of refraction, and electromagnetically induced transparency [8,[11][12][13][14][15][16][17][18]. To date however, phase resonances have only been studied in single layer grating structures and not in multi-layer gratings, yet such modes should occur in multi-layer gratings in greater number and variety, and show a richer set of electromagnetic behavior.…”