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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 11 — Nov. 1, 2007
  • pp: 3644–3648

Apodizing functions for Fourier transform spectroscopy

David A. Naylor and Margaret K. Tahic  »View Author Affiliations


JOSA A, Vol. 24, Issue 11, pp. 3644-3648 (2007)
http://dx.doi.org/10.1364/JOSAA.24.003644


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Abstract

Apodizing functions are used in Fourier transform spectroscopy (FTS) to reduce the magnitude of the sidelobes in the instrumental line shape (ILS), which are a direct result of the finite maximum optical path difference in the measured interferogram. Three apodizing functions, which are considered optimal in the sense of producing the smallest loss in spectral resolution for a given reduction in the magnitude of the largest sidelobe, find frequent use in FTS [ J. Opt. Soc. Am. 66, 259 (1976) ]. We extend this series to include optimal apodizing functions corresponding to increases in the width of the ILS ranging from factors of 1.1 to 2.0 compared with its unapodized value, and we compare the results with other commonly used apodizing functions.

© 2007 Optical Society of America

OCIS Codes
(300.3700) Spectroscopy : Linewidth
(300.6300) Spectroscopy : Spectroscopy, Fourier transforms

ToC Category:
Spectroscopy

History
Original Manuscript: July 6, 2007
Revised Manuscript: August 17, 2007
Manuscript Accepted: August 22, 2007
Published: October 30, 2007

Citation
David A. Naylor and Margaret K. Tahic, "Apodizing functions for Fourier transform spectroscopy," J. Opt. Soc. Am. A 24, 3644-3648 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-11-3644


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References

  1. R. J. Bell, Introductory Fourier Transform Spectroscopy (Academic, 1972).
  2. A. S. Filler, "Apodization and interpolation in Fourier-transform spectroscopy," J. Opt. Soc. Am. 54, 762-767 (1964). [CrossRef]
  3. R. H. Norton and R. Beer, "New apodizing functions for Fourier spectrometry," J. Opt. Soc. Am. 66, 259-264 (1976). [CrossRef]
  4. R. H. Norton and R. Beer, "New apodizing functions for Fourier spectrometry: errata," J. Opt. Soc. Am. 67, 419 (1977).
  5. F. J. Harris, "On the use of windows for harmonic analysis with the discrete Fourier transform," Proc. IEEE 66, 51-83 (1978). [CrossRef]
  6. The Interactive Data Language (Research Systems Inc, 2007).
  7. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C: The Art of Scientific Computing, (Cambridge U. Press, 1992).
  8. R. B. Blackman and J. W. Tukey, The Measurement of Power Spectra, From the Point of View of Communications Engineering (Dover, 1959).
  9. R. C. M. Learner, A. P. Thorne, I. Wynne-Jones, J. W. Brault, and M. C. Abrams, "Phase correction of emission line Fourier transform spectra," J. Opt. Soc. Am. A 12, 2165-2171 (1995). [CrossRef]

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