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The influence of the variation in the incidence angle on the photonic band gap spectra of a one-dimensional dielectric photonic crystal with a complex defect layer, consisting of ultrathin superconducting and dielectric sublayers, was theoretically investigated. The behavior of the defect modes with different polarizations as a function of the incidence angle variation is studied numerically for different thicknesses of the superconducting sublayer. The pronounced contrast in behavior of TE- and TM-polarized modes was demonstrated. The intensity of the TE-polarized defect mode decreases with increasing incidence angle, whereas the intensity of the TM-polarized defect mode increases. The increase in the superconducting defect sublayer thickness leads to a shift in the defect mode of TM-polarization to higher frequencies.