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Applied Optics

Applied Optics


  • Vol. 40, Iss. 19 — Jul. 1, 2001
  • pp: 3235–3243

Spectral noise due to sampling errors in Fourier-transform spectroscopy

Luca Palchetti and Davide Lastrucci  »View Author Affiliations

Applied Optics, Vol. 40, Issue 19, pp. 3235-3243 (2001)

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An assessment is made of the spectral noise in Fourier-transform spectroscopy caused by sampling errors in the interferogram acquisition. Numerical evaluations are performed in the case of the REFIR (radiation explorer in the far infrared) instrument developed for the measurement of the long-wavelength Earth emissions from satellite platforms. In this case the slow response of a room-temperature pyroelectric detector, the relatively short acquisition time, the broadband operation, and the wish for a relaxed requirement of the mirror drive accuracy make sampling error an important issue. Different sampling methods can be considered for reduction of the spectral noise induced by sampling errors. The effects of different sampling methods are quantified and discussed for the selection of the most-suitable option for this instrument. We find that only sampling methods that introduce some compensation (either analog or digital) of the frequency dependence of amplitude and phase components of the acquisition-system responsivity provide satisfactory results. In particular, the equal time sampling followed by a digital filter and numerical resampling has been examined minutely with a simulation model used to perform sensitivity tests of the main parameters that characterize the procedure.

© 2001 Optical Society of America

OCIS Codes
(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics
(070.4790) Fourier optics and signal processing : Spectrum analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(300.6270) Spectroscopy : Spectroscopy, far infrared
(300.6300) Spectroscopy : Spectroscopy, Fourier transforms

Original Manuscript: June 20, 2000
Revised Manuscript: November 6, 2000
Published: July 1, 2001

Luca Palchetti and Davide Lastrucci, "Spectral noise due to sampling errors in Fourier-transform spectroscopy," Appl. Opt. 40, 3235-3243 (2001)

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  1. R. C. M. Learner, A. P. Thorne, J. W. Brault, “Ghosts and artifacts in Fourier-transform spectroscopy,” Appl. Opt. 35, 2947–2954 (1996). [CrossRef] [PubMed]
  2. A. Barbis, B. Carli, U. Cortesi, A. Gignoli, “Optical path difference measurement for high-resolution Fourier spectrometer,” J. Opt. 29, 141–145 (1998). [CrossRef]
  3. E. E. Bell, R. B. Sanderson, “Spectral errors resulting from random sampling-position errors in Fourier transform spectroscopy,” Appl. Opt. 11, 688–689 (1972). [CrossRef] [PubMed]
  4. A. S. Zachor, “Drive nonlinearity: their effects in Fourier spectroscopy,” Appl. Opt. 16, 1412–1424 (1977). [CrossRef] [PubMed]
  5. J. W. Brault, “New approach to high-precision Fourier transform spectrometer design,” Appl. Opt. 35, 2891–2896 (1996). [CrossRef] [PubMed]
  6. L. Palchetti, A. Barbis, J. E. Harries, D. Lastrucci, “Design and mathematical modelling of the space-borne far-infrared Fourier transform spectrometer for REFIR experiment,” Infrared Phys. Technol. 40, 367–377 (1999). [CrossRef]
  7. B. Carli, A. Barbis, J. E. Harries, L. Palchetti, “Design of an efficient broadband far-infrared Fourier-transform spectrometer,” Appl. Opt. 38, 3945–3950 (1999). [CrossRef]
  8. M. Endemann, G. Lange, B. Fladt, “MIPAS for Envisat-1,” in Space Optics 1994: Earth Observation and Astronomy, G. Cerrutti-Maori, P. Roussel, eds., Proc. SPIE2209, 36–47 (1994).
  9. P. Connes, G. Michel, “Astronomical Fourier spectrometer,” Appl. Opt. 14, 2067–2084 (1975). [CrossRef] [PubMed]
  10. D. L. Cohen, “Performance degradation of a Michelson interferometer due to random sampling errors,” Appl. Opt. 38, 139–151 (1999). [CrossRef]
  11. A. S. Zachor, S. M. Aaronson, “Delay compensation: its effect in reducing sampling errors in Fourier spectroscopy,” Appl. Opt. 18, 68–75 (1979). [CrossRef] [PubMed]

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