Abstract

We show that uniform time sampling of both the reference and the target channels in a continuous scanning Fourier transform spectrometer is a simple and versatile way of extending the Nyquist limit shorter than the wavelength of the reference channel. We also discuss the benefits of recording the reference channel when intensity calibrating the target data.

© 1997 Optical Society of America

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References

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  1. R. J. Bell, Introductory Fourier Transform Spectroscopy, 1st ed. (Academic, New York, 1972), Chap. 1, p. 10.
  2. W. H. Steel, Interferometry, 2nd ed. (Cambridge U. Press, Cambridge, UK, 1983), Chap. 1, p. 1.
  3. Ref. 2, Chap. 13, p. 251.
  4. 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]
  5. R. W. Hamming, Digital Filters, 1st ed. (Prentice-Hall, Englewood Cliffs, N.J., 1977), Chap. 3, p. 31.
  6. J. W. Brault, “A new approach to high-resolution FTS design,” in Fourier Transform Spectroscopy: New Methods and Applications, Vol. 4 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1995), paper FThB2-1.

1979 (1)

Aaronson, S. M.

Bell, R. J.

R. J. Bell, Introductory Fourier Transform Spectroscopy, 1st ed. (Academic, New York, 1972), Chap. 1, p. 10.

Brault, J. W.

J. W. Brault, “A new approach to high-resolution FTS design,” in Fourier Transform Spectroscopy: New Methods and Applications, Vol. 4 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1995), paper FThB2-1.

Hamming, R. W.

R. W. Hamming, Digital Filters, 1st ed. (Prentice-Hall, Englewood Cliffs, N.J., 1977), Chap. 3, p. 31.

Steel, W. H.

W. H. Steel, Interferometry, 2nd ed. (Cambridge U. Press, Cambridge, UK, 1983), Chap. 1, p. 1.

Zachor, A. S.

Appl. Opt. (1)

Other (5)

R. W. Hamming, Digital Filters, 1st ed. (Prentice-Hall, Englewood Cliffs, N.J., 1977), Chap. 3, p. 31.

J. W. Brault, “A new approach to high-resolution FTS design,” in Fourier Transform Spectroscopy: New Methods and Applications, Vol. 4 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1995), paper FThB2-1.

R. J. Bell, Introductory Fourier Transform Spectroscopy, 1st ed. (Academic, New York, 1972), Chap. 1, p. 10.

W. H. Steel, Interferometry, 2nd ed. (Cambridge U. Press, Cambridge, UK, 1983), Chap. 1, p. 1.

Ref. 2, Chap. 13, p. 251.

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Figures (6)

Fig. 1
Fig. 1

Uniform time-sampled interferograms: (a) He–Ne laser, (b) diode laser.

Fig. 2
Fig. 2

Uniform time-sampled spectra: (a) He–Ne laser, (b) diode laser.

Fig. 3
Fig. 3

Time interval between successive, frequency-doubled He–Ne zero crossings.

Fig. 4
Fig. 4

Spectra of a (a) diode laser, (b) He–Ne laser, resampled to frequency-doubled He–Ne or diode laser zero crossings, respectively.

Fig. 5
Fig. 5

Uniform time-sampled interferograms: (a) He–Ne laser, (b) yellow LED.

Fig. 6
Fig. 6

Spectra of a yellow LED, resampled to (a) He–Ne zero crossings, (b) frequency-doubled He–Ne zero crossings.

Equations (1)

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f=2vσ,

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