Scan-less hyperspectral dual-comb single-pixel-imaging in both amplitude and phase.

We have developed a hyperspectral imaging scheme that involves a combination of dual-comb spectroscopy and Hadamard-transform-based single-pixel imaging. The scheme enables us to obtain 12,000 hyperspectral images of amplitude and phase at a spatial resolution of 46 µm without mechanical scanning. The spectral resolution given by the data point interval in the frequency domain is 20 MHz and the comb mode interval is 100 MHz over a spectral range of 1.2 THz centered at 191.5 THz. As an initial demonstration of our scheme, we obtained spectroscopic images of a standard test chart through an etalon plate. The thickness of an absorptive chromium-coated layer on a float-glass substrate was determined to be 70 nm from the hyperspectral phase images in the near-infrared wavelength region.

[1]  I. Coddington,et al.  Dual-comb spectroscopy. , 2016, Optica.

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

[3]  William C Swann,et al.  Time-domain spectroscopy of molecular free-induction decay in the infrared. , 2010, Optics letters.

[4]  Yoshio Hayasaki,et al.  Optical frequency comb interference profilometry using compressive sensing. , 2013, Optics express.

[5]  Stefan Kray,et al.  Electronically controlled coherent linear optical sampling for optical coherence tomography. , 2010, Optics express.

[6]  N. Sloane,et al.  Hadamard transform optics , 1979 .

[7]  Femtosecond terahertz time-Domain spectroscopy at 36 kHz scan rate using an acousto-optic delay , 2016, 1604.03766.

[8]  T. Iwata,et al.  Subpixel-shift cyclic-Hadamard microscopic imaging using a pseudo-inverse-matrix procedure. , 2017, Optics express.

[9]  Thomas Udem,et al.  Cavity-enhanced dual-comb spectroscopy , 2009, 0908.1928.

[10]  T. Hänsch,et al.  Optical frequency metrology , 2002, Nature.

[11]  K. Minoshima,et al.  Doppler-free dual-comb spectroscopy of Rb using optical-optical double resonance technique. , 2016, Optics express.

[12]  Akifumi Asahara,et al.  Dual-comb spectroscopy for rapid characterization of complex optical properties of solids. , 2016, Optics letters.

[13]  Takeshi Yasui,et al.  Terahertz frequency comb by multifrequency-heterodyning photoconductive detection for high-accuracy, high-resolution terahertz spectroscopy , 2006 .

[14]  Tetsuo Iwata,et al.  Hadamard-transform fluorescence-lifetime imaging. , 2016, Optics express.

[15]  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.

[16]  T. Hänsch,et al.  Adaptive dual-comb spectroscopy in the green region. , 2012, Optics letters.

[17]  T. Iwata,et al.  Dual-optical-comb spectroscopic ellipsometry , 2016, 2016 Conference on Lasers and Electro-Optics (CLEO).

[18]  Takeshi Yasui,et al.  Adaptive sampling dual terahertz comb spectroscopy using dual free-running femtosecond lasers , 2015, Scientific reports.

[19]  S. Schiller,et al.  Spectrometry with frequency combs. , 2002, Optics letters.

[20]  Masashi Yoshimura,et al.  Terahertz Comb Spectroscopy Traceable to Microwave Frequency Standard , 2013, IEEE Transactions on Terahertz Science and Technology.

[21]  H. Gudbjartsson,et al.  The rician distribution of noisy mri data , 1995, Magnetic resonance in medicine.

[22]  I. Coddington,et al.  Spectroscopy of the methane {nu}{sub 3} band with an accurate midinfrared coherent dual-comb spectrometer , 2011 .

[23]  Kyuki Shibuya,et al.  Comparison of reconstructed images between ghost imaging and Hadamard transform imaging , 2015 .

[24]  R. Henkelman Measurement of signal intensities in the presence of noise in MR images. , 1985, Medical physics.

[25]  Fritz Keilmann,et al.  Time-domain mid-infrared frequency-comb spectrometer. , 2004, Optics letters.

[26]  H. Andrews,et al.  Hadamard transform image coding , 1969 .

[27]  Akira Ozawa,et al.  Static FBG strain sensor with high resolution and large dynamic range by dual-comb spectroscopy. , 2013, Optics express.

[28]  Jean-Daniel Deschênes,et al.  Continuous real-time correction and averaging for frequency comb interferometry. , 2012, Optics express.

[29]  M. Okano,et al.  Polarization-sensitive dual-comb spectroscopy , 2017 .

[30]  Theodor W. Hänsch,et al.  Coherent Raman spectro-imaging with laser frequency combs , 2013, Nature.

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

[32]  L. Nenadovic,et al.  Rapid and precise absolute distance measurements at long range , 2009 .

[33]  J Reichert,et al.  Accurate measurement of large optical frequency differences with a mode-locked laser. , 1999, Optics letters.

[34]  Salomon,et al.  Measurement of the hydrogen 1S- 2S transition frequency by phase coherent comparison with a microwave cesium fountain clock , 2000, Physical review letters.

[35]  R. W. Christy,et al.  Optical constants of transition metals: Ti, V, Cr, Mn, Fe, Co, Ni, and Pd , 1974 .