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Applied Optics

Applied Optics


  • Vol. 41, Iss. 6 — Feb. 20, 2002
  • pp: 1181–1189

Computation of a spectrum from a single-beam Fourier-transform infrared interferogram

Avishai Ben-David and Agustin Ifarraguerri  »View Author Affiliations

Applied Optics, Vol. 41, Issue 6, pp. 1181-1189 (2002)

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A new high-accuracy method has been developed to transform asymmetric single-sided interferograms into spectra. We used a fraction (short, double-sided) of the recorded interferogram and applied an iterative correction to the complete recorded interferogram for the linear part of the phase induced by the various optical elements. Iterative phase correction enhanced the symmetry in the recorded interferogram. We constructed a symmetric double-sided interferogram and followed the Mertz procedure [Infrared Phys. 7, 17 (1967)] but with symmetric apodization windows and with a nonlinear phase correction deduced from this double-sided interferogram. In comparing the solution spectrum with the source spectrum we applied the Rayleigh resolution criterion with a Gaussian instrument line shape. The accuracy of the solution is excellent, ranging from better than 0.1% for a blackbody spectrum to a few percent for a complicated atmospheric radiance spectrum.

© 2002 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(120.0280) Instrumentation, measurement, and metrology : Remote sensing and sensors
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(300.6190) Spectroscopy : Spectrometers
(300.6300) Spectroscopy : Spectroscopy, Fourier transforms
(300.6340) Spectroscopy : Spectroscopy, infrared

Original Manuscript: June 12, 2001
Revised Manuscript: September 14, 2001
Published: February 20, 2002

Avishai Ben-David and Agustin Ifarraguerri, "Computation of a spectrum from a single-beam Fourier-transform infrared interferogram," Appl. Opt. 41, 1181-1189 (2002)

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