Single-pixel compressive diffractive imaging with structured illumination.

We present a method for diffractive imaging with a single photodetector and structured illumination based on compressive sensing. A complex-amplitude object is sequentially illuminated with randomly structured coherent light patterns, and the intensities of each propagating field are measured with a single photodetector. This measurement process does not use any reference light or imaging optics. The object complex field is reconstructed from the sequentially measured intensities with an algorithm in which compressive sensing and phase retrieval are integrated. We demonstrate the proposed method experimentally.

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

[2]  Manish Saxena,et al.  Structured illumination microscopy , 2015 .

[3]  Ichirou Yamaguchi,et al.  Phase-shifting digital holography , 1997 .

[4]  G. Nehmetallah,et al.  Applications of digital and analog holography in three-dimensional imaging , 2012 .

[5]  Ting Sun,et al.  Single-pixel imaging via compressive sampling , 2008, IEEE Signal Process. Mag..

[6]  Y. Shih,et al.  Turbulence-free ghost imaging , 2011 .

[7]  E.J. Candes,et al.  An Introduction To Compressive Sampling , 2008, IEEE Signal Processing Magazine.

[8]  E. Tajahuerce,et al.  Single-pixel digital ghost holography , 2012, 1305.7069.

[9]  Enrique Tajahuerce,et al.  Single pixel camera ophthalmoscope , 2016 .

[10]  J. Shapiro,et al.  Ghost imaging: from quantum to classical to computational , 2010 .

[11]  C. Werner,et al.  Satellite radar interferometry: Two-dimensional phase unwrapping , 1988 .

[12]  Jun Tanida,et al.  Multidimensional object acquisition by single-shot phase imaging with a coded aperture. , 2015, Optics express.

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

[14]  Chao Wang,et al.  Complementary compressive imaging for the telescopic system , 2014, Scientific Reports.

[15]  Vicente Durán,et al.  Compressive holography with a single-pixel detector. , 2013, Optics letters.

[16]  E Tajahuerce,et al.  Compressive imaging in scattering media. , 2015, Optics express.

[17]  R.G. Baraniuk,et al.  Compressive Sensing [Lecture Notes] , 2007, IEEE Signal Processing Magazine.

[18]  L. Tian,et al.  Relaxation of mask design for single-shot phase imaging with a coded aperture. , 2016, Applied optics.

[19]  Jeffrey H. Shapiro,et al.  Computational ghost imaging , 2008, 2009 Conference on Lasers and Electro-Optics and 2009 Conference on Quantum electronics and Laser Science Conference.

[20]  Jun Tanida,et al.  Computational structured illumination. , 2015, Applied optics.

[21]  O. Katz,et al.  Compressive ghost imaging , 2009, 0905.0321.

[22]  J. Miao,et al.  Beyond crystallography: Diffractive imaging using coherent x-ray light sources , 2015, Science.

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

[24]  E. Candès,et al.  Compressive fluorescence microscopy for biological and hyperspectral imaging , 2012, Proceedings of the National Academy of Sciences.

[25]  Jun Tanida,et al.  Single-pixel compressive diffractive imaging , 2017 .

[26]  L. Rudin,et al.  Nonlinear total variation based noise removal algorithms , 1992 .

[27]  Jesús Lancis,et al.  Optical encryption based on computational ghost imaging. , 2010, Optics letters.

[28]  Jason Geng,et al.  Structured-light 3D surface imaging: a tutorial , 2011 .

[29]  J. Tanida,et al.  Single-shot phase imaging with a coded aperture. , 2014, Optics letters.

[30]  Jun Tanida,et al.  Three-dimensional imaging through scattering media using three-dimensionally coded pattern projection. , 2015, Applied optics.

[31]  J. Tanida,et al.  Single-shot acquisition of optical direct and global components using single coded pattern projection , 2015 .

[32]  José M. Bioucas-Dias,et al.  A New TwIST: Two-Step Iterative Shrinkage/Thresholding Algorithms for Image Restoration , 2007, IEEE Transactions on Image Processing.

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

[34]  Jun Tanida,et al.  Experimental demonstration of single-shot phase imaging with a coded aperture. , 2015, Optics express.