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An ameliorated fast phase retrieval iterative algorithm based on the angular spectrum theory

Liu Hong-Zhan Ji Yue-Feng

An ameliorated fast phase retrieval iterative algorithm based on the angular spectrum theory

Liu Hong-Zhan, Ji Yue-Feng
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  • Received Date:  20 December 2012
  • Accepted Date:  29 January 2013
  • Published Online:  05 June 2013

An ameliorated fast phase retrieval iterative algorithm based on the angular spectrum theory

  • 1. State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China;
  • 2. Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510006, China
Fund Project:  Project supported by the National Basic Research Program of China (Grant No. 2012CB315705), the National High Technology Research and Development Program of China (Grant No. 2011AA010306), and the China Postdoctoral Science Foundation (Grant No. 20100470257).

Abstract: For designing the light beam shaper in the optical transmitting antenna in inter-satellite optical communication system, the essential problem is, according to the input optical field and ideal output light field, to determine the shaper of phase distribution, in which its core is in phase recovery. Based on the traditional Gerchberg-Saxton (G-S) iterative algorithm, using the angular spectrum propagation theory, a kind of amplitude gradient addition iterative algorithm is proposed, and the detailed algorithm process and analysis are given. Compared with G-S algorithm, the new one using iterative process, constructs the light field amplitude feedback loop, and searches out the optimal iteration path using the gradient; their joint action accelerates the convergence process. Numerical simulation shows that the iterative error-drop speed caused by unit iterations in the new algorithm is 1.7 times that of the G-S algorithm, its convergence rate is obviously superior to the G-S algorithm; for different random initial phase, the new algorithm can effectively carry out iteration, show the advantages of the strong adaptability and the good convergent consistency. Amplitude gradient addition iterative algorithm gives a new effective way of recovering the complex optical field phase, and provides technical support for designing all kinds of diffraction optical element.

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