WISHED: Wavefront imaging sensor with high resolution and depth ranging

Phase-retrieval based wavefront sensors have been shown to reconstruct the complex field from an object with a high spatial resolution. Although the reconstructed complex field encodes the depth information of the object, it is impractical to be used as a depth sensor for macroscopic objects, since the unambiguous depth imaging range is limited by the optical wavelength. To improve the depth range of imaging and handle depth discontinuities, we propose a novel three-dimensional sensor by leveraging wavelength diversity and wavefront sensing. Complex fields at two optical wavelengths are recorded, and a synthetic wavelength can be generated by correlating those wavefronts. The proposed system achieves high lateral and depth resolutions. Our experimental prototype shows an unambiguous range of more than 1,000 x larger compared with the optical wavelengths, while the depth precision is up to 9µm for smooth objects and up to 69µm for rough objects. We experimentally demonstrate 3D reconstructions for transparent, translucent, and opaque objects with smooth and rough surfaces.

[1]  Stéphane Roux,et al.  3D static elastography at the micrometer scale using Full Field OCT. , 2013, Biomedical optics express.

[2]  R. Gerchberg.  A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .

[3]  Ramesh Raskar,et al.  Rethinking Machine Vision Time of Flight With GHz Heterodyning , 2017, IEEE Access.

[4]  Ryoichi Horisaki.  Single-Shot Phase Imaging with Coded Diffraction and Its Applications , 2018 .

[5]  Karen O. Egiazarian,et al.  Computational super-resolution phase retrieval from multiple phase-coded diffraction patterns: simulation study and experiments , 2017 .

[6]  Xiaodong Li,et al.  Phase Retrieval from Coded Diffraction Patterns , 2013, 1310.3240.

[7]  Sundeep Rangan,et al.  Compressive Phase Retrieval via Generalized Approximate Message Passing , 2014, IEEE Transactions on Signal Processing.

[8]  P. Thibault.  X-ray ptychography , 2011 .

[9]  F P Chiang,et al.  Three-dimensional dimension of laser speckle. , 1992, Applied optics.

[10]  M. Soto,et al.  Improved phase imaging from intensity measurements in multiple planes. , 2007, Applied optics.

[11]  Richard G. Baraniuk,et al.  Coherent inverse scattering via transmission matrices: Efficient phase retrieval algorithms and a public dataset , 2017, 2017 IEEE International Conference on Computational Photography (ICCP).

[12]  Marc Levoy,et al.  Zippered polygon meshes from range images , 1994, SIGGRAPH.

[13]  G. Ripandelli,et al.  Optical coherence tomography. , 1998, Seminars in ophthalmology.

[14]  Andreas Velten,et al.  SH-ToF: Micro resolution time-of-flight imaging with superheterodyne interferometry , 2018, 2018 IEEE International Conference on Computational Photography (ICCP).

[15]  J. Goodman.  Introduction to Fourier optics , 1969 .

[16]  R. Dändliker,et al.  Two-wavelength laser interferometry using superheterodyne detection. , 1988, Optics letters.

[17]  Andreas Velten,et al.  High-depth-resolution range imaging with multiple-wavelength superheterodyne interferometry using 1550-nm lasers. , 2017, Applied optics.

[18]  G. Pedrini,et al.  Phase retrieval of arbitrary complex-valued fields through aperture-plane modulation , 2007 .

[19]  Prasanna Rangarajan,et al.  Mega-pixel time-of-flight imager with GHz modulation frequencies , 2019, Imaging and Applied Optics 2019 (COSI, IS, MATH, pcAOP).

[20]  N. Streibl.  Phase imaging by the transport equation of intensity , 1984 .

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

[22]  R. Shack,et al.  History and principles of Shack-Hartmann wavefront sensing. , 2001, Journal of refractive surgery.

[23]  J. Rodenburg.  Ptychography and Related Diffractive Imaging Methods , 2008 .

[24]  Wei Xu,et al.  Phase-unwrapping of SAR interferogram with multi-frequency or multi-baseline , 1994, Proceedings of IGARSS '94 - 1994 IEEE International Geoscience and Remote Sensing Symposium.

[25]  Albert Fannjiang,et al.  Absolute uniqueness of phase retrieval with random illumination , 2011, ArXiv.

[26]  Richard G. Baraniuk,et al.  prDeep: Robust Phase Retrieval with a Flexible Deep Network , 2018, ICML.

[27]  J C Wyant,et al.  Two-wavelength phase shifting interferometry. , 1984, Applied optics.

[28]  J. Goodman.  Speckle Phenomena in Optics: Theory and Applications , 2020 .

[29]  Emmanuel J. Candès,et al.  PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming , 2011, ArXiv.

[30]  Ashok Veeraraghavan,et al.  SAVI: Synthetic apertures for long-range, subdiffraction-limited visible imaging using Fourier ptychography , 2017, Science Advances.

[31]  A F Fercher,et al.  Rough surface interferometry with a two-wavelength heterodyne speckle interferometer. , 1985, Applied optics.

[32]  Ang,et al.  Ultra-high resolution coded wavefront sensor , 2017 .

[33]  J. Wyant,et al.  Multiple-wavelength phase-shifting interferometry. , 1985, Applied optics.

[34]  Manoj Kumar Sharma,et al.  WISH: wavefront imaging sensor with high resolution , 2019, Light: Science & Applications.

[35]  S. Holly,et al.  High-performance real-time heterodyne interferometry. , 1979, Applied optics.

[36]  Andrea Vedaldi,et al.  Deep Image Prior , 2017, International Journal of Computer Vision.

[37]  Ramesh Raskar,et al.  Dynamic heterodyne interferometry , 2018, 2018 IEEE International Conference on Computational Photography (ICCP).

[38]  Munther A. Gdeisat,et al.  Fast two-dimensional phase-unwrapping algorithm based on sorting by reliability following a noncontinuous path. , 2002, Applied optics.