Imaging of objects through a thin scattering layer using a spectrally and spatially separated reference.

Incoherently illuminated or luminescent objects give rise to a low-contrast speckle-like pattern when observed through a thin diffusive medium, as such a medium effectively convolves their shape with a speckle-like point spread function (PSF). This point spread function can be extracted in the presence of a reference object of known shape. Here it is shown that reference objects that are both spatially and spectrally separated from the object of interest can be used to obtain an approximation of the point spread function. The crucial observation, corroborated by analytical calculations, is that the spectrally shifted point spread function is strongly correlated to a spatially scaled one. With the approximate point spread function thus obtained, the speckle-like pattern is deconvolved to produce a clear and sharp image of the object on a speckle-like background of low intensity.

[1]  M. Fink,et al.  Non-invasive single-shot imaging through scattering layers and around corners via speckle correlations , 2014, Nature Photonics.

[2]  S. Popoff,et al.  Measuring the transmission matrix in optics: an approach to the study and control of light propagation in disordered media. , 2009, Physical review letters.

[3]  Giuliano Scarcelli,et al.  Memory-effect based deconvolution microscopy for super-resolution imaging through scattering media , 2016, Scientific Reports.

[4]  Ying Min Wang,et al.  Deep-tissue focal fluorescence imaging with digitally time-reversed ultrasound-encoded light , 2012, Nature Communications.

[5]  G. Lerosey,et al.  Controlling waves in space and time for imaging and focusing in complex media , 2012, Nature Photonics.

[6]  Wolfgang Osten,et al.  Exploiting scattering media for exploring 3D objects , 2016, Light: Science & Applications.

[7]  Manoj Kumar,et al.  3D Imaging through Scatterers with Interferenceless Optical System , 2018, Scientific Reports.

[8]  Yefeng Guan,et al.  Image restoration through thin turbid layers by correlation with a known object. , 2013, Optics express.

[9]  O. Katz,et al.  Looking around corners and through thin turbid layers in real time with scattered incoherent light , 2012, Nature Photonics.

[10]  Giuliano Scarcelli,et al.  Optical imaging through dynamic turbid media using the Fourier-domain shower-curtain effect , 2016, CLEO 2016.

[11]  Kevin J Webb,et al.  Imaging optical fields through heavily scattering media. , 2014, Physical review letters.

[12]  Jonathan Dong,et al.  Imaging through a thin scattering layer and jointly retrieving the point-spread-function using phase-diversity. , 2017, Optics express.

[13]  Youwen Liu,et al.  Non-invasive depth-resolved imaging through scattering layers via speckle correlations and parallax , 2017 .

[14]  S. Gigan,et al.  Characterization of the angular memory effect of scattered light in biological tissues. , 2015, Optics express.

[15]  Ke Si,et al.  Fluorescence imaging beyond the ballistic regime by ultrasound pulse guided digital phase conjugation , 2012, Nature Photonics.

[16]  Feng,et al.  Correlations and fluctuations of coherent wave transmission through disordered media. , 1988, Physical review letters.

[17]  Yan Liu,et al.  Time-reversed adapted-perturbation (TRAP) optical focusing onto dynamic objects inside scattering media , 2014, Nature Photonics.

[18]  S. Gigan,et al.  Speckle-based hyperspectral imaging combining multiple scattering and compressive sensing in nanowire mats. , 2017, Optics letters.

[19]  Kevin J Webb,et al.  Imaging Hidden Objects with Spatial Speckle Intensity Correlations over Object Position. , 2016, Physical review letters.

[20]  Demetri Psaltis,et al.  Imaging through turbid layers by scanning the phase conjugated second harmonic radiation from a nanoparticle. , 2010, Optics express.

[21]  Xiangsheng Xie,et al.  Harnessing the point-spread function for high-resolution far-field optical microscopy. , 2014, Physical review letters.

[22]  J. Bertolotti,et al.  Non-invasive imaging through opaque scattering layers , 2012, Nature.

[23]  A. Mosk,et al.  Focusing coherent light through opaque strongly scattering media. , 2007, Optics letters.

[24]  Ang,et al.  Imaging moving targets through scattering media , 2017 .

[25]  I. Freund.  Looking through walls and around corners , 1990 .

[26]  Jason W Fleischer,et al.  Phase-space measurement for depth-resolved memory-effect imaging. , 2014, Optics express.

[27]  Feng,et al.  Memory effects in propagation of optical waves through disordered media. , 1988, Physical review letters.

[28]  Xiaoqing Xu,et al.  Imaging objects through scattering layers and around corners by retrieval of the scattered point spread function , 2017, 1709.10175.

[29]  Sylvain Gigan,et al.  Image transmission through an opaque material. , 2010, Nature communications.

[30]  Ick,et al.  DiffuserCam : Lensless Single-exposure 3 D Imaging , 2017 .

[31]  Moonseok Kim,et al.  Scanner-free and wide-field endoscopic imaging by using a single multimode optical fiber. , 2012, Physical review letters.

[32]  Hristian,et al.  Wide field fluorescence epi-microscopy behind a scattering medium enabled by speckle correlations , 2018 .

[33]  Xiaoqing Xu,et al.  Extended depth-resolved imaging through a thin scattering medium with PSF manipulation , 2018, Scientific Reports.