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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 42, Iss. 31 — Nov. 1, 2003
  • pp: 6292–6304

Noise-Equivalent Change in Radiance for Misalignment Noise in a Double-Sided Interferogram

Douglas L. Cohen  »View Author Affiliations


Applied Optics, Vol. 42, Issue 31, pp. 6292-6304 (2003)
http://dx.doi.org/10.1364/AO.42.006292


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Abstract

Engineers designing optical alignment servo systems for Michelson interferometers and Fourier-transform infrared spectrometers need to predict the amount of noise expected from the small and randomly varying amounts of misalignment that occur as the servo attempts to maintain alignment while taking data. A formula is derived for the noise-equivalent change in radiance due to this effect and the formula’s accuracy is demonstrated by comparison of its predictions to the errors found in simulated interferometer measurements contaminated by misalignment noise.

© 2003 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(070.4790) Fourier optics and signal processing : Spectrum analysis
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(300.6300) Spectroscopy : Spectroscopy, Fourier transforms
(300.6340) Spectroscopy : Spectroscopy, infrared

Citation
Douglas L. Cohen, "Noise-Equivalent Change in Radiance for Misalignment Noise in a Double-Sided Interferogram," Appl. Opt. 42, 6292-6304 (2003)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-42-31-6292


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References

  1. J. Chamberlain, The Principles of Interferometric Spectroscopy (Wiley, New York, 1979), Chap. 8, p. 237.
  2. C. S. Williams, “Mirror misalignment in Fourier spectroscopy using a Michelson interferometer with circular aperture,” Appl. Opt. 5, 1084–1085 (1966).
  3. L. W. Kunz and D. Goorvitch, “Combined effects of a converging beam of light and mirror misalignment in Michelson interferometry,” Appl. Opt. 13, 1077–1079 (1974).
  4. D. Cohen, “Performance degradation of a Michelson interferometer when its misalignment angle is a rapidly varying, random time series,” Appl. Opt. 36, 4034–4042 (1997).
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  6. W. B. Davenport, Jr. and W. L. Root, An Introduction to the Theory of Random Signals and Noise (Institute of Electrical and Electronics Engineers, New York, 1987), Chap. 4, p. 60.
  7. H. E. Revercomb, H. Buijs, H. B. Howell, D. D. LaPorte, W. L. Smith, and L. A. Sromovsky, “Radiometric calibration of IR Fourier transform spectrometers: solution to a problem with the high-resolution interferometer sounder,” Appl. Opt. 27, 3210–3218 (1988).
  8. M. Evans, N. Hastings, and B. Peacock, Statistical Distributions, 2nd ed. (Wiley, New York, 1993), Chaps. 2 and 29, pp. 12, 13, and 114.

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