Generation of Non-Iterative POHs based on Optimized Hybrid Phase for Fresnel Lensless Holographic Projection

Phase-Only Holograms (POHs) are widely embraced for their advantages, including high quality reconstruction and high diffraction efficiency. However, when generating POHs, the utilization of solely random or quadratic phase often leads to speckle noise and ringing artifacts in reconstructed image. To tackle this issue, this paper introduces a non-iterative Optimized Hybrid Phase-only Holograms (OHPOHs) algorithm designed for Fresnel Lensless Holographic Projection system. The proposed algorithm consists of three steps. Firstly, selected quadratic phase and random phase are combined with an appropriate weight coefficient to create a hybrid phase. Next, the hybrid phase is iteratively optimized. Lastly, a complex amplitude is formed by combining the optimized hybrid phase and arbitrary target image, resulting in the generation of POHs through a single-step calculation. Additionally, this paper explores the process of selecting an appropriate weight coefficient for the phase blending procedure. Numerical experiments demonstrate that the non-iterative OHPOHs achieves superior reconstruction of high-quality images by effectively suppressing speckle noise and ringing artifacts. Moreover, this improvement is achieved while maintaining computation efficiency comparable to that of the Optimized Random Phase (ORAP) algorithm and the Hybrid Phase-Only Hologram (HPOHs) algorithm.