26 November 2012 Iterative phase difference constraint method for the speckle elimination of kinoforms
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Proceedings Volume 8556, Holography, Diffractive Optics, and Applications V; 85561V (2012); doi: 10.1117/12.999754
Event: Photonics Asia, 2012, Beijing, China
Abstract
Speckle noise is a serious problem in the reconstruction of computer-generated holograms (CGHs). Especially for a kinoform (a phase-only CGH), the speckles lead to a large reconstruction error and it is important to eliminate the speckles. The speckles are caused by the isolated zero points in the reconstruction of a CGH, so the speckles can be avoided if there are no isolated zero points. In this study, we suggest a new method that restricts the existence range of the phase differences between the sampled points of reconstruction. The phase differences have the range of two times the phase period and we restrict them into half of the phase period after wrapping the phase differences. This strategy can successfully avoid the existence of isolated zero points so that speckles can be eliminated. The phase difference constraint process can be incorporated into the general iterative algorithms for the optimization of a kinoform. Speckleless reconstruction can be obtained after a sufficient number of iterations and the also the kinoform conditions are satisfied (i.e., the kinoform amplitude uniform condition and its phase quantization). In addition, this speckleless reconstruction has noise immune when the reconstruction phase noise is under a quarter of phase period. We will show some simulation results to show the effect of the iterative phase difference constraint method for the speckle elimination of kinoforms in our presentation.
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Toshinori Hora, Shiyuan Yang, Seiichi Serikawa, "Iterative phase difference constraint method for the speckle elimination of kinoforms", Proc. SPIE 8556, Holography, Diffractive Optics, and Applications V, 85561V (26 November 2012); doi: 10.1117/12.999754; https://doi.org/10.1117/12.999754
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KEYWORDS
Computer generated holography

Speckle

Image compression

Quantization

Holograms

Optimization (mathematics)

Reconstruction algorithms

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