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We propose and experimentally investigate a new scheme capable of suppressing light-induced scattering by periodical incoherent erasure during every non-volatile holographic recording cycle in photochromic LiNbO3:Fe:Mn crystals. The results demonstrate that the scattering noise is suppressed effectively, and the final diffraction efficiency of the fixed grating is significantly enhanced, rather than decreased, by about 30％ compared with the conventional recording procedure. The period of the recording and incoherent erasure cycle is theoretically calculated and experimentally optimized.