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3 December 2014 Aberration compensation in lensless digital holography
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Lensless digital holography could improve the resolution of digital holography reconstruction and has drawn wide attention. The complex wave-front could be reconstructed through Fourier transformation of a single hologram. It’s crucial to reconstruct the phase precisely. However the phase constructed from a single hologram usually contains a quadratic aberration. Many methods are proposed to remove the item. In this paper the method of lateral shearing interferometry is studied to compensate the quadratic aberration. First we show the aberration in lensless digital holography and the lateral shearing interferometry. Then numerical simulations are carried out to test the method. It can be concluded that the method of linear fitting could effectively extract the quadratic aberration. The drawback is that the quadratic phase information extracted could not discern the additional aberration and the quadratic item included by the object wave field. A small local smooth area couldn’t guarantee good estimation of quadratic aberrations. A larger area could get better results even in the presence of noises. However the aberration compensation depends greatly on noises. The reason of larger residual aberrations in the presence of noises is that noises influence greatly on the phase reconstruction including unwrapping.
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Ping Yao and Hua Yu "Aberration compensation in lensless digital holography", Proc. SPIE 9297, International Symposium on Optoelectronic Technology and Application 2014: Laser and Optical Measurement Technology; and Fiber Optic Sensors, 92971E (3 December 2014);

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