Phase retrieval in arbitrarily shaped aperture with the transport-of-intensity equation

Lei Huang; Chao Zuo; Mourad Idir; Weijuan Qu; Anand Asundi

doi:10.1117/12.2087754

12 March 2015 Phase retrieval in arbitrarily shaped aperture with the transport-of-intensity equation

Lei Huang, Chao Zuo, Mourad Idir, Weijuan Qu, Anand Asundi

Proceedings Volume 9401, Computational Imaging XIII; 94010B (2015) https://doi.org/10.1117/12.2087754
Event: SPIE/IS&T Electronic Imaging, 2015, San Francisco, California, United States

Abstract

Phase is not easy to detect directly as intensity, but sometimes it contains the really desired information. The transport-of-intensity equation (TIE) is a powerful tool to retrieve the phase from the intensity. However, by considering the boundary energy exchange and the whole energy conversation in the field of view, the current popular Fast Fourier transform (FFT) based TIE solver can only retrieve the phase under homogeneous Neumann boundary condition. For many applications, the boundary condition could be more complex and general. A novel TIE phase retrieval method is proposed to deal with an optical field under a general boundary condition. In this method, an arbitrarily-shape hard aperture is added in the optical field. In our method, the TIE is solved by using iterative discrete cosine transforms (DCT) method, which contains a phase compensation mechanism to improve the retrieval results. The proposed method is verified in simulation with an arbitrary phase, an arbitrarily-shaped aperture, and non-uniform intensity distribution. Experiment is also carried out to check its feasibility and the method proposed in this work is very easy and straightforward to use in a practical measurement as a flexible phase retrieval tool.

Citation Download Citation

Lei Huang, Chao Zuo, Mourad Idir, Weijuan Qu, and Anand Asundi "Phase retrieval in arbitrarily shaped aperture with the transport-of-intensity equation", Proc. SPIE 9401, Computational Imaging XIII, 94010B (12 March 2015); https://doi.org/10.1117/12.2087754

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KEYWORDS

Phase retrieval

Charge-coupled devices

Transform theory

Fourier transforms

Optical alignment

Phase compensation

Aerospace engineering

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