Quantitative phase and amplitude imaging with an efficient support constraint.

High-speed quantitative phase and amplitude imaging methods have led to numerous biological discoveries. For general samples, phase retrieval from a single-diffraction pattern has been an algorithmic and experimental challenge. Here we present a quantitative phase and amplitude imaging method applying an efficient support constraint to yield a rapid algorithmic convergence due to the removal of the twin image and spatial shift ambiguities. Compared to previous complex-valued imaging, our method is lenslet-free and relies neither on assumption based on sample sparsity nor interferometric measurements. Our method provides a robust method for imaging in materials and biological science, while its rapid imaging capability will benefit the investigation of dynamical processes.

[1]  S. Marchesini,et al.  Invited article: a [corrected] unified evaluation of iterative projection algorithms for phase retrieval. , 2006, The Review of scientific instruments.

[2]  Michel Verhaegen,et al.  Optical path difference microscopy with a Shack-Hartmann wavefront sensor. , 2017, Optics letters.

[3]  J. Rodenburg,et al.  An improved ptychographical phase retrieval algorithm for diffractive imaging. , 2009, Ultramicroscopy.

[4]  Changhuei Yang,et al.  Quantitative phase imaging and complex field reconstruction by pupil modulation differential phase contrast. , 2016, Optics express.

[5]  James R. Fienup,et al.  Reconstruction of a complex-valued object from the modulus of its Fourier transform using a support constraint , 1987 .

[6]  J. Miao,et al.  Oversampling smoothness: an effective algorithm for phase retrieval of noisy diffraction intensities. , 2012, Journal of applied crystallography.

[7]  J. Miao,et al.  Phase retrieval from the magnitude of the Fourier transforms of nonperiodic objects , 1998 .

[8]  Qionghai Dai,et al.  Doubling the pixel count limitation of single-pixel imaging via sinusoidal amplitude modulation. , 2018, Optics express.

[9]  Yonina C. Eldar,et al.  Phase Retrieval with Application to Optical Imaging: A contemporary overview , 2015, IEEE Signal Processing Magazine.

[10]  Mark A Foster,et al.  Single-pixel imaging using compressed sensing and wavelength-dependent scattering. , 2016, Optics letters.

[11]  Jun Tanida,et al.  Single-shot phase imaging with randomized light (SPIRaL). , 2016, Optics express.

[12]  Shutian Liu,et al.  Computational coherent imaging by rotating a cylindrical lens. , 2018, Optics express.

[13]  Keith A. Nugent,et al.  Coherent lensless X-ray imaging , 2010 .

[14]  Jianqiang Zhu,et al.  Coherent amplitude modulation imaging based on partially saturated diffraction pattern. , 2018, Optics express.

[15]  Cheng Zheng,et al.  Digital micromirror device-based common-path quantitative phase imaging. , 2017, Optics letters.

[16]  R. Horstmeyer,et al.  Wide-field, high-resolution Fourier ptychographic microscopy , 2013, Nature Photonics.

[17]  S Marchesini,et al.  Invited article: a [corrected] unified evaluation of iterative projection algorithms for phase retrieval. , 2006, The Review of scientific instruments.

[18]  Thomas R. Crimmins,et al.  Phase Retrieval for Discrete Functions with Support Constraints: Summary , 1986, Topical Meeting On Signal Recovery and Synthesis II.

[19]  B J Brames.  Unique phase retrieval with explicit support information. , 1986, Optics letters.

[20]  Kevin J. Mitchell,et al.  Single-pixel infrared and visible microscope , 2014 .

[21]  James R. Fienup,et al.  Reconstruction of objects having latent reference points , 1983 .

[22]  J R Fienup,et al.  Phase retrieval algorithms: a comparison. , 1982, Applied optics.

[23]  O. Bunk,et al.  High-Resolution Scanning X-ray Diffraction Microscopy , 2008, Science.

[24]  Enrique Tajahuerce,et al.  Phase imaging by spatial wavefront sampling , 2018 .

[25]  Haoyang Cui,et al.  Ultra-high speed digital micro-mirror device based ptychographic iterative engine method. , 2017, Biomedical optics express.

[26]  Ian K Robinson,et al.  Evaluation of partial coherence correction in X-ray ptychography. , 2015, Optics express.

[27]  J. Fienup,et al.  Uniqueness of phase retrieval for functions with sufficiently disconnected support , 1983 .

[28]  Zeev Zalevsky,et al.  Resolution enhancement in quantitative phase microscopy , 2019, Advances in Optics and Photonics.

[29]  J. Miao,et al.  Phase retrieval from exactly oversampled diffraction intensity through deconvolution , 2007 .