期刊
OPTICS LETTERS
卷 42, 期 7, 页码 1440-1443出版社
OPTICAL SOC AMER
DOI: 10.1364/OL.42.001440
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资金
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Canadian Space Agency (CSA)
- Honeywell Aerospace
- Ministerio de Economia y Competitividad (MINECO) [FJCI-2014-22836, TEC2015-71127-C2]
- Community of Madrid [S2013/MIT-2790]
- European Association of National Metrology Institutes (H-MSCA-RISE SENSIBLE) [JRP-i22 14IND13-PhotInd]
- European Metrology Programme for Innovation and Research (EMPIR)
We demonstrate compressive- sensing (CS) spectroscopy in a planar- waveguide Fourier- transform spectrometer ( FTS) device. The spectrometer is implemented as an array of Mach- Zehnder interferometers ( MZIs) integrated on a photonic chip. The signal from a set of MZIs is composed of an undersampled discrete Fourier interferogram, which we invert using l(1)-norm minimization to retrieve a sparse input spectrum. To implement this technique, we use a subwavelength- engineered spatial heterodyne FTS on a chip composed of 32 independent MZIs. We demonstrate the retrieval of three sparse input signals by collecting data from restricted sets ( 8 and 14) of MZIs and applying common CS reconstruction techniques to this data. We show that this retrieval maintains the full resolution and bandwidth of the original device, despite a sampling factor as low as one- fourth of a conventional ( non- compressive) design. (C) 2017 Optical Society of America
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