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The concept of Feshbach resonances developed for quantum mechanicalscattering is applied in the analysis of classical light scattering offphotonic crystal slabs. It is shown that this concept can be realized almostperfectly in these systems. As an application guided-mode resonances in thegrating waveguide structure (GWS) are studied in detail. Using simple resonancedominance approximation the characteristic properties of isolated Feshbachresonances in light scattering are exhibited. Formation and interaction ofoverlapping resonances are investigated. The relevant parameters of the GWS areidentified which control the shape of the reflectivity of interactingresonances as well as the enhancement of the electromagnetic field. Thedifferences in the properties of TE and TM resonances is emphasized for bothisolated and interacting resonances.

Feshbach resonances and their interaction in light scattering off photonic crystal slabs