Iterative feedback algorithm for phase retrieval based on transport of intensity equation

Kaifeng Liu; Hong Cheng; Cheng Zhang; Chuan Shen; Fen Zhang; Sui Wei

doi:10.1117/12.2228509

9 December 2015 Iterative feedback algorithm for phase retrieval based on transport of intensity equation

Kaifeng Liu, Hong Cheng, Cheng Zhang, Chuan Shen, Fen Zhang, Sui Wei

Proceedings Volume 9817, Seventh International Conference on Graphic and Image Processing (ICGIP 2015); 98171F (2015) https://doi.org/10.1117/12.2228509
Event: Seventh International Conference on Graphic and Image Processing, 2015, Singapore, Singapore

Abstract

In this paper, a novel phase retrieval algorithm is presented which combines the advantages of the Transport of Intensity Equation (TIE) method and the iteration method. TIE method is fast, but its precision is not high. Though the convergence rate of iteration method is slow, its result is more accurate. This algorithm consists of Iterative Angular Spectrum (IAS) method to utilize the physical constraints between the object and the spectral domain, and the relationship between the intensity and phase among the wave propagation. Firstly, the phase at the object plane is calculated from two intensity images by TIE. Then this result is treated as the initial phase of the IAS. Finally, the phase information at the object plane is acquired according the reversibility of the optical path. During the iteration process, the feedback mechanism is imposed on it that improve the convergence rate and the precision of phase retrieval and the simulation results are given.

Citation Download Citation

Kaifeng Liu, Hong Cheng, Cheng Zhang, Chuan Shen, Fen Zhang, and Sui Wei "Iterative feedback algorithm for phase retrieval based on transport of intensity equation", Proc. SPIE 9817, Seventh International Conference on Graphic and Image Processing (ICGIP 2015), 98171F (9 December 2015); https://doi.org/10.1117/12.2228509

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KEYWORDS

Phase retrieval

Diffraction

Wave propagation

3D displays

Computer simulations

Fourier transforms

Iterative methods

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