The diffraction of planar reflective hologram gratings was analyzed with a nonlinear differential equation based on the coupled wave theory. Under special conditions of low and high reflectivity, an analytic solution and its relationship to the fourier transform was obtained, which showed that the reconstruction of a volume hologram is just a Fresnel diffraction process. Through a numerical solution of the equation, using the Runge-Kutta method, some new phenomena were discovered, and the physical pictures that cause these phenomena were discussed. Also, the proper-ties of the spectrum based on nonlinear theory were analyzed. Finally, experimental verifications were given.