The wave-front conversion between cylindrical and plane waves by photorefractive local volume holograms recorded at 632.8 nm and reconstructed at 800 nm is investigated in this paper. Based on two-dimensional coupled-wave theory, the coupled wave differential equations of the cylindrical lenses on double-doped LiNbO3 crystal are derived, and the analytical integral solutions for the amplitudes of the space harmonics of the field inside the transmission geometry are presented. The values of off-Bragg parameter at the reconstructed process are analyzed. Furthermore, the dependences of diffraction efficiency on recording cylindrical wave and on the geometric size of the gratings are discussed, and the amplitude distribution of the diffracted beam at the output boundary is also analyzed. It is found that: 1) the diffraction efficiency increases as the focal length of the volume holographic cylindrical lenses increases; 2) the diffraction efficiency increases with increasing the grating thickness, but the diffraction efficiency decreases with increasing the width of the diffraction surface at vertical direction; 3) diffracted amplitude distribution derivates much from the desired uniform amplitude as the initial recording cylindrical, and the diffracted intensity mainly concentrates at the line B-B′ of the gratings. At last, the effect of selectivity of different on-Bragg reference points for recording hologram on the diffraction efficiency of the grating is discussed, the results show that reference points have no influence on diffraction efficiency.