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Applied Optics

Applied Optics


  • Vol. 40, Iss. 6 — Feb. 20, 2001
  • pp: 770–782

Characterization of background signals in wavelength-modulation spectrometry in terms of a Fourier based theoretical formalism

Pawel Kluczynski, Åsa M. Lindberg, and Ove Axner  »View Author Affiliations

Applied Optics, Vol. 40, Issue 6, pp. 770-782 (2001)

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The detectability of wavelength-modulation (WM) diode-laser spectrometric techniques is frequently limited by various background signals. A new theoretical formalism for WM spectrometry, based on Fourier analysis and therefore capable of handling a variety of phenomena including the characterization and the analysis of analytical as well as background WM signals, was recently presented [Appl. Opt. 38, 5803 (1999)]. We report a detailed characterization of WM background signals from multiple reflections between pairs of surfaces in the optical system that act as etalons and from the associated intensity modulation in terms of this new formalism. The agreement between the background signals from a thin glass plate and those predicted by the formalism is good, which verifies the new Fourier analysis-based formalism.

© 2001 Optical Society of America

OCIS Codes
(120.2230) Instrumentation, measurement, and metrology : Fabry-Perot
(120.4820) Instrumentation, measurement, and metrology : Optical systems
(300.1030) Spectroscopy : Absorption
(300.6260) Spectroscopy : Spectroscopy, diode lasers
(300.6380) Spectroscopy : Spectroscopy, modulation

Original Manuscript: February 29, 2000
Revised Manuscript: July 5, 2000
Published: February 20, 2001

Pawel Kluczynski, Åsa M. Lindberg, and Ove Axner, "Characterization of background signals in wavelength-modulation spectrometry in terms of a Fourier based theoretical formalism," Appl. Opt. 40, 770-782 (2001)

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  32. The various entities used in this paper are briefly defined in Appendix A.
  33. The expressions for the even Fourier components of a product of two entities was incorrectly written in Ref. 30 [Eqs. (16) and (27)] with respect to the zeroth component [the term (1 + δk0) should be replaced with 1]. The correct expression is given by Eq. (2) in this paper.
  34. In deriving Eqs. (1) and (2), we made use of the fact that all odd transmission coefficients are zero, which follows from our choice of reference phase.
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Fig. 1 Fig. 2 Fig. 3
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