Synthesis and reconstruction of multi-plane phase-only Fresnel holograms

Multi-plane phase-only Fresnel holograms have been synthesized using iterative phase retrieval algorithm. The combination of modified Gerchberg-Saxton algorithm and compensation iterative algorithm has been used for extracting the phase function from a complex multi-plane object function in the Fresnel domain. The combination helps synthesize phase-only holograms having high diffraction efficiencies. In this study, phase-only Fresnel holograms for three- and four-plane objects have been synthesized by taking object of different sizes and placing them in different planes of varying window sizes. The diffraction efficiency and mean square error of the reconstructed images in different planes of multi-plane objects have been calculated, which confirm the good quality of reconstructed images. Numerical simulation results have been presented. Three-dimensional recognition of multi-plane objects has also been presented using the obtained phase-only hologram. This study would help understand the reconstruction patterns of different planes of a multi-plane object which will be helpful in improving the reconstruction quality for three-dimensional holographic display.