Compressive imaging through a multimode fiber.

We propose and experimentally demonstrate a new concept of endo-microscopy: compressive multimode (MM) fiber imaging. We show that the speckle patterns generated in a MM fiber represent an excellent basis for compressive sensing. We demonstrate high-resolution compressive imaging through a fiber probe with the total number of measurements 20 times less than what is required for the standard raster scanning approach to endo-microscopy. Moreover, we show that the inherent optical sectioning of a MM fiber can help to overcome the main problem of compressive sensing and can be used for the imaging of bulk structures. Compressive MM fiber imaging does not require complex wavefront shaping and significantly increases the pre-calibration and imaging speed, creating a new approach to endo-microscopy.

[1]  Tomáš Čižmár,et al.  Seeing through chaos in multimode fibres , 2015, Nature Photonics.

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

[3]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.

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

[5]  A. Descloux,et al.  Aberrations of the point spread function of a multimode fiber due to partial mode excitation. , 2016, Optics express.

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

[7]  Tomáš Čižmár,et al.  Robustness of Light-Transport Processes to Bending Deformations in Graded-Index Multimode Waveguides. , 2018, Physical review letters.

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

[9]  Tomáš Čižmár,et al.  Three-dimensional holographic optical manipulation through a high-numerical-aperture soft-glass multimode fibre , 2018 .

[10]  L. V. Doronina-Amitonova,et al.  Enhancing the locality of optical interrogation with photonic-crystal fibers , 2012 .

[11]  Laurent Daudet,et al.  Imaging With Nature: Compressive Imaging Using a Multiply Scattering Medium , 2013, Scientific Reports.

[12]  Michael W. Marcellin,et al.  JPEG2000: standard for interactive imaging , 2002, Proc. IEEE.

[13]  Rafael Piestun,et al.  Real-time resilient focusing through a bending multimode fiber. , 2013, Optics express.

[14]  L. Fu,et al.  Fibre‐optic nonlinear optical microscopy and endoscopy , 2007, Journal of microscopy.

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

[16]  K. V. Anokhin,et al.  Implantable fiber-optic interface for parallel multisite long-term optical dynamic brain interrogation in freely moving mice , 2013, Scientific Reports.

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

[18]  Mark A Foster,et al.  Compressive fluorescence imaging using a multi-core fiber and spatially dependent scattering. , 2017, Optics letters.

[19]  E. Cocker,et al.  Fiber-optic fluorescence imaging , 2005, Nature Methods.

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

[21]  A. Mosk,et al.  Exploiting disorder for perfect focusing , 2009, 0910.0873.

[22]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[23]  Demetri Psaltis,et al.  High-resolution, lensless endoscope based on digital scanning through a multimode optical fiber , 2013, Biomedical optics express.

[24]  Lyubov V Amitonova,et al.  Rotational memory effect of a multimode fiber. , 2015, Optics express.

[25]  Silvio Bianchi,et al.  Hologram transmission through multi-mode optical fibers. , 2011, Optics express.

[26]  Tomáš Čižmár,et al.  Shaping the light transmission through a multimode optical fibre: complex transformation analysis and applications in biophotonics. , 2011, Optics express.

[27]  K. Dholakia,et al.  Exploiting multimode waveguides for pure fibre-based imaging , 2012, Nature Communications.

[28]  Philipp Ambichl,et al.  Principal modes in multimode fibers: exploring the crossover from weak to strong mode coupling. , 2016, Optics express.

[29]  Wooyoung Jang,et al.  Complex wavefront shaping for optimal depth-selective focusing in optical coherence tomography. , 2013, Optics express.

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

[31]  E. Candès,et al.  Stable signal recovery from incomplete and inaccurate measurements , 2005, math/0503066.

[32]  Lyubov V Amitonova,et al.  High-resolution wavefront shaping with a photonic crystal fiber for multimode fiber imaging. , 2016, Optics letters.