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We report sharp resonant features in the reflectivity spectra of semiconductor waveguides patterned with periodic lattices of deep holes. The resonances arise from coupling of incident light to the photonic bands of the lattice. By varying the reflection geometry, large parts of the photonic band structure are determined. A scattering matrix treatment is used to obtain theoretical spectra which agree well with experiment. The waveguide is shown to have an important influence on the band structure, including marked polarization mixing and significant energy up-shifts. @S0163-1829~99!50548-1# Ever since the discovery of diffraction anomalies in gratings by Wood, 1 the reflectivity properties of patterned surfaces have been widely studied. Similar resonant anomalies occur in many circumstances when a periodic patterning is applied to a surface supporting excitations which momentum conservation forbids from coupling to external photons by momentum conservation. Resonant anomalies appear when these forbidden modes become allowed as a result of inplane band-structure effects arising from the patterning. Such effects constitute the basic physics underlying recent observations of surface plasmon polariton resonances 2 and photonic band gaps ~PBG’s !, 3 optical transmission through subwavelength hole arrays, 4 and sharp spectral features in shallow grating waveguide structures. 5

Photonic band-structure effects in the reflectivity of periodically patterned waveguides