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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 6 — Feb. 20, 2011
  • pp: 891–900

Infrared species tomography of a transient flow field using Kalman filtering

Kyle J. Daun, Steven L. Waslander, and Brandon B. Tulloch  »View Author Affiliations

Applied Optics, Vol. 50, Issue 6, pp. 891-900 (2011)

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In infrared species tomography, the unknown concentration distribution of a species is inferred from the attenuation of multiple collimated light beams shone through the measurement field. The resulting set of linear equations is rank-deficient, so prior assumptions about the smoothness and nonnegativity of the distribution must be imposed to recover a solution. This paper describes how the Kalman filter can be used to incorporate additional information about the time evolution of the distribution into the reconstruction. Results show that, although performing a series of static reconstructions is more accurate at low levels of measurement noise, the Kalman filter becomes advantageous when the measurements are corrupted with high levels of noise. The Kalman filter also enables signal multiplexing, which can help achieve the high sampling rates needed to resolve turbulent flow phenomena.

© 2011 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(120.1740) Instrumentation, measurement, and metrology : Combustion diagnostics
(300.1030) Spectroscopy : Absorption
(300.6340) Spectroscopy : Spectroscopy, infrared
(300.6500) Spectroscopy : Spectroscopy, time-resolved
(110.6955) Imaging systems : Tomographic imaging

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: September 14, 2010
Manuscript Accepted: November 24, 2010
Published: February 16, 2011

Kyle J. Daun, Steven L. Waslander, and Brandon B. Tulloch, "Infrared species tomography of a transient flow field using Kalman filtering," Appl. Opt. 50, 891-900 (2011)

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