Two-step phase retrieval algorithm from single-exposure measurement

Cheng Zhang; Meiqin Wang; Qianwen Chen; Dong Wang; Sui Wei

doi:10.1117/12.2505849

15 November 2018 Two-step phase retrieval algorithm from single-exposure measurement

Cheng Zhang, Meiqin Wang, Qianwen Chen, Dong Wang, Sui Wei

Proceedings Volume 10964, Tenth International Conference on Information Optics and Photonics; 109642P (2018) https://doi.org/10.1117/12.2505849
Event: Tenth International Conference on Information Optics and Photonics (CIOP 2018), 2018, Beijing, China

Abstract

Reconstruction of the lost phase information in the complex optical field from a single-intensity measurement in the Fourier domain is often termed as phase retrieval. This method can be used in many fields, such as electron microscopy, wavefront sensing, astronomy and crystallography and so on. The classical phase retrieval methods use the two-intensity measurements recorded or single-intensity measurement recorded with some prior knowledge, which utilizes the Gerchberg-Saxton(GS)-like algorithm to iteratively recover the phase of the complex optical field. Aiming at the problem that the single-intensity phase retrieval method has poor reconstruction quality and low probability of successful recovery in practical application, an improved method is proposed in this paper—two-step phase retrieval algorithm from single-exposure measurement. Our proposed method divides the phase retrieval into two steps: first, the GS algorithm combined with prior knowledge is used to recover the amplitude information in the spatial domain from the single-spread Fourier spectrum, and then the classical GS algorithm using two-intensity measurements (one is recorded and the other is estimated from the first step) is used to recover the phase information of the complex optical field behind the coded aperture. Finally, the effectiveness of the proposed method is verified by numerical experiments. Compared with the single-intensity phase retrieval method, our proposed method can significantly improve the reconstruction quality and probability of successful recovery.

Citation Download Citation

Cheng Zhang, Meiqin Wang, Qianwen Chen, Dong Wang, and Sui Wei "Two-step phase retrieval algorithm from single-exposure measurement", Proc. SPIE 10964, Tenth International Conference on Information Optics and Photonics, 109642P (15 November 2018); https://doi.org/10.1117/12.2505849

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KEYWORDS

Phase retrieval

Coded apertures

Reconstruction algorithms

Signal to noise ratio

Fourier transforms

Astronomical imaging

Biomedical optics

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