Abstract

An instrument line-shape correction method adapted to imaging Fourier- transform spectrometers is demonstrated. The method calibrates all pixels on the same spectral grid and permits a direct comparison of the spectral features between pixels such as emission or absorption lines. Computation speed is gained by using matrix line-shape integration formalism rather than properly inverting the line shape of each pixel. A monochromatic source is used to characterize the spectral shift of each pixel, and a line-shape correction scheme is then applied on measured interferograms. This work is motivated by the emergence of affordable infrared CCD cameras that are currently being integrated in imaging Fourier-transform spectrometers.

© 2007 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |

  1. J. Connes, "Domaine d'utilisation de la méthode par transformée de Fourier," J. Phys. Radium 19, 197-208 (1958).
  2. E. Niple, A. Pires, and K. Poultney, "Exact modeling of line-shape and wavenumber variations for off-axis detectors in Fourier-transform spectrometers (FTS) sensor systems," in Technologies of Cryogenically Cooled Sensors and Fourier Transform Spectrometers II, R. J. Huppi, ed. Proc. SPIE 0364, 11-20 (1982).
  3. R. Desbiens, P. Tremblay, J. Genest, and J.-P. Bouchard, "Matrix form for the instrument line shape of Fourier-transform spectrometers yielding a fast integration algorithm to theoretical spectra," Appl. Opt. 45, 546-557 (2006).
    [CrossRef]
  4. R. Desbiens, J. Genest, P. Tremblay, and J.-P. Bouchard, "Correction of instrument line shape in Fourier transform spectrometry using matrix inversion," Appl. Opt. 45, 5270-5280 (2006).
    [CrossRef]
  5. J. Genest and P. Tremblay, "Instrument line shape of Fourier-transform spectrometers: analytic solutions for nonuniformly illuminated off-axis detectors," Appl. Opt. 38, 5438-5446 (1999).
  6. E. Sarkissian and K. W. Bowman, "Application of a nonuniform spectral resampling transform in Fourier-transform spectrometry," Appl. Opt. 42, 1122-1131 (2003).
  7. R. C. M. Learner and A. P. Thorne, "Wavelength calibration of Fourier-transform emission spectra with applications to Fe I," J. Opt. Soc. Am. B 5, 2045-2049 (1988).
  8. M. L. Salit, J. C. Travis, and M. R. Winchester, "Practical wavelength calibration considerations for UV-visible Fourier-transform spectroscopy," Appl. Opt. 35, 2960-2970 (1996).
  9. L. I. Bluestein, "A linear filtering approach to the computation of discrete Fourier transform," Northeast Elec. Res. and Eng. Meeting Rec. 10, 218-219 (1968).
  10. L. R. Rabiner, R. W. Schafer, and C. M. Rader, "The chirp z-transform algorithm," IEEE Trans. Audio Electroacoust. 17, 8692-92 (1969).
  11. A. Kuze, H. Nakajima, J. Tanii, and Y. Sasano, "Conceptual design of solar occultation FTS for inclined-orbit satellite (SOFIS) on GCOM-A1," in Infrared Spaceborne Remote Sensing VIII, Proc. SPIE 4131, 4541-4548 (2000).
  12. J.-P. Bouchard, P. Tremblay, R. Desbiens, and F. Bouffard, "Detailed line-shape measurements using a high resolution, high divergence Fourier transform spectrometer," Fourier Transform Spectroscopy, Vol. 84 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2003), pp. 25-27.
  13. M. Chamberland, V. Farley, L. Belhumeur, F. Williams, J. Lawrence, P. Tremblay, and R. Desbiens, "The instrument lineshape, an imperative parameter for the absolute spectral calibration of an FTS," Fourier Transform Spectroscopy, Vol. 84 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2003), pp. 160-166.
  14. J. Genest and S. Potvin, "FFTmt," MEX-file available on MATLAB Central (http://www.mathworks.com/matlabcentral/fileexchange/) (2006).

2006 (2)

2003 (1)

2000 (1)

A. Kuze, H. Nakajima, J. Tanii, and Y. Sasano, "Conceptual design of solar occultation FTS for inclined-orbit satellite (SOFIS) on GCOM-A1," in Infrared Spaceborne Remote Sensing VIII, Proc. SPIE 4131, 4541-4548 (2000).

1999 (1)

1996 (1)

1988 (1)

1982 (1)

E. Niple, A. Pires, and K. Poultney, "Exact modeling of line-shape and wavenumber variations for off-axis detectors in Fourier-transform spectrometers (FTS) sensor systems," in Technologies of Cryogenically Cooled Sensors and Fourier Transform Spectrometers II, R. J. Huppi, ed. Proc. SPIE 0364, 11-20 (1982).

1969 (1)

L. R. Rabiner, R. W. Schafer, and C. M. Rader, "The chirp z-transform algorithm," IEEE Trans. Audio Electroacoust. 17, 8692-92 (1969).

1968 (1)

L. I. Bluestein, "A linear filtering approach to the computation of discrete Fourier transform," Northeast Elec. Res. and Eng. Meeting Rec. 10, 218-219 (1968).

1958 (1)

J. Connes, "Domaine d'utilisation de la méthode par transformée de Fourier," J. Phys. Radium 19, 197-208 (1958).

Appl. Opt. (5)

IEEE Trans. Audio Electroacoust. (1)

L. R. Rabiner, R. W. Schafer, and C. M. Rader, "The chirp z-transform algorithm," IEEE Trans. Audio Electroacoust. 17, 8692-92 (1969).

J. Opt. Soc. Am. B (1)

J. Phys. Radium (1)

J. Connes, "Domaine d'utilisation de la méthode par transformée de Fourier," J. Phys. Radium 19, 197-208 (1958).

Northeast Elec. Res. and Eng. Meeting Rec. (1)

L. I. Bluestein, "A linear filtering approach to the computation of discrete Fourier transform," Northeast Elec. Res. and Eng. Meeting Rec. 10, 218-219 (1968).

Other (5)

E. Niple, A. Pires, and K. Poultney, "Exact modeling of line-shape and wavenumber variations for off-axis detectors in Fourier-transform spectrometers (FTS) sensor systems," in Technologies of Cryogenically Cooled Sensors and Fourier Transform Spectrometers II, R. J. Huppi, ed. Proc. SPIE 0364, 11-20 (1982).

A. Kuze, H. Nakajima, J. Tanii, and Y. Sasano, "Conceptual design of solar occultation FTS for inclined-orbit satellite (SOFIS) on GCOM-A1," in Infrared Spaceborne Remote Sensing VIII, Proc. SPIE 4131, 4541-4548 (2000).

J.-P. Bouchard, P. Tremblay, R. Desbiens, and F. Bouffard, "Detailed line-shape measurements using a high resolution, high divergence Fourier transform spectrometer," Fourier Transform Spectroscopy, Vol. 84 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2003), pp. 25-27.

M. Chamberland, V. Farley, L. Belhumeur, F. Williams, J. Lawrence, P. Tremblay, and R. Desbiens, "The instrument lineshape, an imperative parameter for the absolute spectral calibration of an FTS," Fourier Transform Spectroscopy, Vol. 84 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2003), pp. 160-166.

J. Genest and S. Potvin, "FFTmt," MEX-file available on MATLAB Central (http://www.mathworks.com/matlabcentral/fileexchange/) (2006).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics