Analysis of photorefractive volume holographic lenses with different recording and read-out wavelengths

The photorefractive volume holographic lenses for converting a plane wave to a lateral-spread spherical wave with different recording and reconstructing wavelength has been studied. Using the coupled-wave theory, the half-analytical solutions for the amplitudes of the space harmonics of the field inside the transmission geometry are presented. The values of the off-Bragg parameter at the reconstructed process and the diffracted beam's amplitude distribution are analyzed. In addition, the dependences of diffraction properties on the focal length of recording spherical wave and on the geometrical dimensions of the grating are discussed. Furthermore, the focusing properties of this photorefractive holographic lens are analyzed.