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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 31, Iss. 30 — Oct. 20, 1992
  • pp: 6383–6388

Sampling jitter in Fourier-transform spectrometers: spectral broadening and noise effects

Roland Meynart  »View Author Affiliations


Applied Optics, Vol. 31, Issue 30, pp. 6383-6388 (1992)
http://dx.doi.org/10.1364/AO.31.006383


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Abstract

The effect of sampling jitter induced by frequency fluctuations of the reference laser is analyzed theoretically. It is shown that the spectral broadening of the lines is small enough to permit the use of single-mode laser diodes in medium-to-high-resolution spaceborne instruments. The same mathematical formalism is used to give a new insight into the analysis of the spectral noise induced by random sampling jitter caused by detector and electronic noise.

© 1992 Optical Society of America

History
Original Manuscript: December 10, 1991
Published: October 20, 1992

Citation
Roland Meynart, "Sampling jitter in Fourier-transform spectrometers: spectral broadening and noise effects," Appl. Opt. 31, 6383-6388 (1992)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-31-30-6383


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References

  1. H. Sakai, “Consideration of the signal-to-noise-ratio in Fourier spectroscopy,” in Proceedings of Aspen International Conference on Fourier Spectroscopy (Air Force Cambridge Research Laboratories, Bedford, Mass., 1971), pp. 19–41.
  2. 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]
  3. A. Zachor, “Drive nonlinearities: their effects in Fourier spectroscopy,” Appl. Opt. 16, 1412–1424 (1977). [CrossRef] [PubMed]
  4. B. Carli, F. Mencaraglia, A. Bonetti, “Sub-millimeter high-resolution FT spectrometer for atmospheric studies,” Appl. Opt. 23, 2594–2603 (1984). [CrossRef] [PubMed]
  5. G. Guelachvili, in Spectrometric Techniques, G. Vanasse, ed. (Academic, New York, 1981), Vol. 2, Chap. 1.
  6. W. Posselt, “Michelson interferometer for passive atmospheric sounding,” in Future European and Japanese Remote Sensing Sensors and Programs, P. N. Slater, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1490, 114–125 (1991).
  7. K. Petermann, Laser Diode Modulation and Noise (Kluwer, Dordrecht, The Netherlands, 1988). [CrossRef]
  8. Note that the calculation of Eq. (13) with the power spectral density of Eq. (20) leads to a result that is slightly different from Eq. (7.143) of Ref. 7.
  9. A. Oppenheim, R. Schafer, Digital Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1975).
  10. It is assumed that the sampling pulses are generated at zero crossings of the laser interferogram. As a result, the SNR is defined by SNR = −20 log[sin(2πδx/λr)].

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