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We have proven theoretically that there are sublinear, linear and superlinear relations between the response ratesand total incident intensity for different cases of traps in photorefractive polymer materials. These relations wereobserved in inorganic photorefractive crystals many years ago. Also, the steady-state space-charge field is a functionof the total incident intensity, which has also been found in inorganic photorefractive crystals. We have measured therelations of the steady-state diffraction efficiency and the response rate with respect to the total incident intensity in thephotorefractive composite consisting of the polymer (N-vinylcarbazole) (PVK) doped with 4,4’-n-pentylcyanobiphenyl(5CB) and C60. The results obtained show that the composite belongs to the case of low trap density.