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The Fourier transform treatment on random quasi-phase matching (RQPM) problems in nonlinear polycrystalline materials is proposed to simplify the simulation process. The spatial frequency spectrum information of the polycrystalline material is obtained directly by Fourier transform analysis in the space domain, which is closely related to wave number and coherence length. Using this method to simulate the second harmonic generation (SHG), the results are consistent with the previous studies, which verifies the feasibility of this method.
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