Abstract

In the reconstruction of cylindrical phase-only hologram (POH), speckle noise caused by the addition of random phase is rarely discussed. Although some speckle noise suppression algorithms have been proposed for planar POH, it does not work well if they are directly applied to cylindrical POH. To solve this issue, the cylindrical self-diffraction iteration (CSDI) algorithm is proposed. This is an iteration algorithm based on the cylindrical self-diffraction model which is a special case of the cylindrical backward-propagation model at a limit condition. Simulation results show that CSDI can suppress speckle noise and improve the quality of reconstructed images significantly. Furthermore, the proposed CSDI algorithm outperforms conventional algorithms, which work well in planar POH and are directly applied to cylindrical POH, in suppressing speckle noise for cylindrical POH. To our best knowledge, the models of cylindrical backward-propagation and cylindrical self-diffraction as well as the concept of CSDI are firstly proposed and applied to speckle suppression of cylindrical POH.

Highlights

  • Holographic display is regarded as one of the most promising display technologies because it can provide the depth information of the whole three dimentional scene and has unique advantages in correcting human eye aberration [1], [2]

  • Simulation results show that cylindrical self-diffraction iteration (CSDI) can suppress speckle noise and improve the quality of reconstructed images significantly

  • In order to solve the problem of speckle noise in the reconstruction of cylindrical phase-only hologram (POH), we propose a CSDI algorithm based on cylindrical self-diffraction (CSD)

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Summary

Introduction

Holographic display is regarded as one of the most promising display technologies because it can provide the depth information of the whole three dimentional scene and has unique advantages in correcting human eye aberration [1], [2]. CGH can record the amplitude and phase of light waves comprehensively, and produce holograms of complex and nonexistent objects [9] Because of this advantage, various methods of cylindrical computer-generated hologram (CCGH) have been proposed. Sando et al proposed a convolution algorithm based on fast Fourier transform to obtain cylindrical holograms [10] This is a diffraction model based on concentric cylinders. Wang et al proposed an outside-in propagation (OIP) models and a fast method of generating cylindrical holograms based on FFT and convolution [17]. The proposed CSDI outperforms the algorithms of appling Gerchberg-Saxton (GS) algorithm directly to other concentric cylindrical diffraction models, such as convolution method and CFP model, in suppressing speckle noise for cylindrical POH

CFP and CBP Models
Cylindrical Self-Diffraction
Cylindrical Self-Diffraction Iteration
Simulation Results and Analysis
Effectiveness of Cylindrical Self-Diffraction Iteration
Superiority of Cylindrical Self - Diffraction Results
Conclusion
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