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We study the joint spectral properties of photon pairs generated byspontaneous parametric down-conversion in a one-dimensional nonlinear photoniccrystal in a collinear, degenerate, type-II geometry. We show that the photoniccrystal properties may be exploited to compensate for material dispersion andobtain photon pairs that are nearly factorable, in principle, for arbitrarymaterials and spectral regions, limited by the ability to fabricate thenonlinear crystal with the required periodic variation in the refractiveindices for the ordinary and extraordinary waves.

Parametric downconversion with optimized spectral properties in nonlinear photonic crystals