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Holographic image projection using fractional Fourier transformation
Authors:Chenliang Chang  Jun Xia  Wei Lei
Institution:1. Translational Centre for Regenerative Medicine (TRM), University Leipzig, Leipzig, Germany;2. Department of Ophthalmology, Leipzig University Hospital, Leipzig, Germany;3. Paul Flechsig Institute for Brain Research, Department of Pathophysiology of Neuroglia, University Leipzig, Leipzig, Germany;4. Interdisciplinary Centre for Bioinformatics, University Leipzig, Leipzig, Germany;5. Leipzig Research Centre for Civilisation Diseases (LIFE), University Leipzig, Leipzig, Germany;1. Army Engineering University, Shijiazhuang 050000, China;2. Naval Aviation University, Yantai 264001, China;3. Military representative bureau in qujing of the army equipment department military representative office in chongqing, Qujing 655000, China;1. School of Electronics Engineering, VIT University Chennai Campus, Chennai 600127, Tamil Nadu, India;2. School of Electronics Engineering, VIT University, Vellore 632014, Tamil Nadu, India;1. Department of Electrical Engineering, Universidad Industrial de Santander, Bucaramanga, Colombia;2. Department of Chemistry, Universidad Industrial de Santander, Bucaramanga, Colombia;3. Department of Computer Science, Universidad Industrial de Santander, Bucaramanga, Colombia
Abstract:A new method of image projection based on fractional Fourier transformation is presented. This method can project an image at any distance after a lens plane. We use a modified Gerschberg–Saxton (GS) iteration algorithm to compute a phase-only hologram. The amplitude distributions both on the hologram plane and image plane are restricted while allowing their phase distributions to drift into an optimum value. The quality of the image projected by fractional Fourier hologram is close to the image projected by Fourier hologram. The RMS error between the projected image and the constrained image is computed in our experiment. A comparison in flexibility of the two projection methods is also discussed.
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