A theory is developed for resonant elastic scattering of light from Bragg structures (one-dimensional photonic crystals) which have randomly rough interfaces. The study is mainly focused on the spectral and angle dependences of radiation giving information about static disorder responsible for the elastic scattering. The diffuse reflection spectra for linearly polarized light are computed and analyzed in detail. A resonant enhancement of the scattering cross-section is found to be manifested in the vicinity of the photonic stop-band edges. Angle-dependent suppressing the diffusive component of reflected p -polarized light and strong dependence of the scattering spectrum on the location of a single rough interface are demonstrated.© (2010) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.