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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 51, Iss. 11 — Apr. 10, 2012
  • pp: 1660–1670

Relevance of an inverse problem approach to overcome cut-off wavenumbers disparities in infrared stationary Fourier transform spectrometers

Céline Benoît-Pasanau, Frédéric Gillard, Yann Ferrec, Sidonie Lefebvre, Sylvain Rommeluère, Nicolas Guérineau, and Jérôme Primot  »View Author Affiliations


Applied Optics, Vol. 51, Issue 11, pp. 1660-1670 (2012)
http://dx.doi.org/10.1364/AO.51.001660


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Abstract

One of the major limitations to the use of infrared focal plane arrays (IRFPAs) in stationary Fourier transform spectrometers (FTSs) comes from the spatial inhomogeneities of the pixel responses, where the inhomogeneities of the cut-off wavenumbers of the pixels can prevail. The hypothesis commonly assumed for FTSs that all the pixels are equivalent is thus inaccurate and results in a degradation of the estimated spectrum, even far from the cut-off wavenumbers. However, if the individual spectral responses of the pixels are measured beforehand, this a priori information can be used in the inversion process to produce reliable spectra. Thus, spatial inhomogeneities are not an obstacle for the use of infrared stationary FTS. This result is illustrated in this paper by numerical simulations, based on a realistic description of an IRFPA.

© 2012 Optical Society of America

OCIS Codes
(040.3060) Detectors : Infrared
(100.3190) Image processing : Inverse problems
(300.6190) Spectroscopy : Spectrometers

ToC Category:
Detectors

History
Original Manuscript: September 7, 2011
Manuscript Accepted: October 19, 2011
Published: April 4, 2012

Citation
Céline Benoît-Pasanau, Frédéric Gillard, Yann Ferrec, Sidonie Lefebvre, Sylvain Rommeluère, Nicolas Guérineau, and Jérôme Primot, "Relevance of an inverse problem approach to overcome cut-off wavenumbers disparities in infrared stationary Fourier transform spectrometers," Appl. Opt. 51, 1660-1670 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-11-1660


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References

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  18. Note that the spectrum was not apodized. The use of an apodization window would reduce the noise over the spectrum, if the latter is barely correlated. However, as is shown in Eq. (6), for a significant dispersion of the cut-off wavenumbers, the effects of the disparities are attenuated for high optical differences. This is also the case if the spectral cut-off is smoother than a Heaviside function (see Subsection 4.E). Then, the noise over the spectrum becomes correlated and apodization has only a limited impact on its level.
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