Conference Paper

# 3D Wave field phase retrieval from multi-plane observations

Dept. of Signal Process., Tampere Univ. of Technol. (TUT), Tampere, Finland

DOI: 10.1109/3DTV.2010.5506340 Conference: 3DTV-Conference: The True Vision - Capture, Transmission and Display of 3D Video (3DTV-CON), 2010 Source: IEEE Xplore

- Citations (9)
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**ABSTRACT:**We present a method by which the phase and the amplitude of a wave front are obtained by processing a sequence of intensity patterns recorded at different planes. We do not use any reference wave, as one does for holography. Simulations and experimental results are presented.Optics Letters 05/2005; 30(8):833-5. · 3.39 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**A detailed comparison of the original Gerchberg-Saxton and the Yang-Gu algorithms for the reconstruction of model images from two intensity measurements in a nonunitary transform system is presented. The Yang-Gu algorithm is a generalization of the Gerchberg-Saxton algorithm and is effective in solving the general amplitude-phase-retrieval problem in any linear unitary or nonunitary transform system. For a unitary transform system the Yang-Gu algorithm is identical to the Gerchberg-Saxton algorithm. The reconstruction of images from data corrupted with random noise is also investigated. The simulation results show that the Yang-Gu algorithm is relatively insensitive to the presence of noise in data. In all cases studied the Yang-Gu algorithm always resulted in a highly accurate recovered phase.Applied Optics 01/1994; 33(2):209-18. · 1.69 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**Phase-hologram patterns that can shape the intensity distribution of a light beam in several planes simultaneously can be calculated with an iterative Gerchberg-Saxton algorithm [T. Haist et al., Opt. Commun. 140, 299 (1997)]. We apply this algorithm in holographic optical tweezers. This allows us to simultaneously trap several objects in individually controllable arbitrary 3-dimensional positions. We demonstrate the interactive use of our approach by trapping microscopic spheres and moving them into an arbitrary 3-dimensional configuration.Optics Express 05/2004; 12(8):1665-70. · 3.55 Impact Factor

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