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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN 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)
http://dx.doi.org/10.1364/AO.50.000891


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Abstract

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

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

Citation
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)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-50-6-891


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References

  1. A. C. Eckbreth, Laser Diagnostics for Combustion Temperature and Species, 2nd ed. (Overseas Publishers Association, 1996), Chap. 7.
  2. R. Sadanandan, M. Stöhr, and W. Meir, “Simultaneous OH-PLIF and PIV measurements in a gas turbine model combustor,” Appl. Phys. B 90, 609–618 (2008). [CrossRef]
  3. A. E. Klingbeil, J. B. Jeffries, and R. K. Hanson, “Temperature- and pressure-dependent absorption cross sections of gaseous hydrocarbons at 3.39 μm,” Meas. Sci. Technol. 17, 1950–1957(2006). [CrossRef]
  4. M. Bertero and P. Boccacci, Introduction to Inverse Problems in Imaging (IOP, 1998), pp. 191–200.
  5. S. Siltanen, V. Kolehmainen, S. Järvenpää, J. P. Kaipio, P. Koistinen, M. Lassas, J. Pirttilä, and E. Somersalo, “Statistical inversion for medical x-ray tomography with few radiographs: I. General theory,” Phys. Med. Biol. 48, 1437–1463(2003). [CrossRef] [PubMed]
  6. L. A. Shepp and B. F. Logan, “Reconstructing interior head tissue from x-ray transmissions,” IEEE Trans. Nucl. Sci. NS-21, 228–236 (1971).
  7. R. J. Santoro, H. G. Semerjian, P. J. Emmerman, and R. Goulard, “Optical tomography for flow field diagnostics,” Int. J. Heat Mass Transfer 24, 1139–1150 (1981). [CrossRef]
  8. B. Gillet, Y. Hardalupas, C. Kavounides, and A. M. K. P. Taylor, “Infrared absorption for measurement of hydrocarbon concentration in fuel/air mixtures (MAST-B-LIQUID),” Appl. Therm. Eng. 24, 1633–1653 (2004). [CrossRef]
  9. E. Bryner, G. S. Diskin, C. P. Goyne, and J. C. McDaniel, “Development of an infrared laser absorption tomography system for a scramjet combustor,” in AIAA Aerodynamics Measurement Technology and Ground Testing Conference (AIAA, 2006), paper CP3445.
  10. C. A. Garcia-Stewart, N. Polydorides, K. B. Ozanyan, and H. McCann, “Image reconstruction algorithms for high-speed chemical species tomography,” in Third World Conference on Industrial Process Tomography (Virtual Centre for Industrial Process Tomography, 2003), pp. 80–86.
  11. P. C. Hansen, Rank Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion (SIAM, 1998). [CrossRef]
  12. P. Wright, C. A. Garcia-Stewart, S. J. Carey, F. P. Hindle, S. H. Pegrum, S. M. Colbourne, P. J. Turner, W. J. Hurr, T. J. Litt, S. C. Murray, S. D. Crossley, K. B. Ozanyan, and H. McCann, “Toward in-cylinder absorption tomography in a production engine,” Appl. Opt. 44, 6578–6592 (2005). [CrossRef] [PubMed]
  13. P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. Pegrum, S. Colbourne, P. Turner, S. D. Crossley, T. Litc, S. Murray, K. B. Ozanyan, and H. McCann, “High speed chemical species tomography in a multi-cylinder automotive engine,” Chem. Eng. J. 158, 2–10 (2010). [CrossRef]
  14. N. Terzija, J. L. Davidson, C. A. Garcia-Stewart, P. Wright, K. B. Ozanyan, S. Pegrum, T. J. Litt, and H. McCann, “Image optimization for chemical species tomography with an irregular and sparse beam array,” Meas. Sci. Technol. 19, 094007(2008). [CrossRef]
  15. K. J. Daun, “Infrared species limited data tomography through Tikhonov reconstruction,” J. Quant. Spectrosc. Radiat. Transfer 111, 105–115 (2010). [CrossRef]
  16. A. N. Tikhonov and V. Y. Arsenin, Solutions of Ill-Posed Problems (Winston, 1977).
  17. A. Seppänen, M. Vauhkonen, P. J. Vauhknonen, E. Somersalo, and J. P. Kaipio, “State estimation with fluid dynamical evolution models in process tomography: an application to impedance tomography,” Inverse Probl. 17, 467–483(2001). [CrossRef]
  18. K. Y. Kim, B. S. Kim, M. C. Kim, Y. J. Lee, and M. Vauhknonen, “Image reconstruction in time-varying electrical impedance tomography based on the extended Kalman filter,” Meas. Sci. Technol. 12, 1032–1039 (2001). [CrossRef]
  19. A. Seppänen, A. Voutilainen, and J. P. Kaipio, “State estimation in process tomography-reconstruction of velocity fields using EIT,” Inverse Probl. 25, 1–23 (2009). [CrossRef]
  20. J. P. Kaipio, S. Duncan, and A. Seppänen, “State estimation,” in Process Imaging for Automatic Control, D.M.Scott and H.McCann, eds. (CRC, 2005), pp. 207–235.
  21. R. Zdunek, “Multigrid regularized image reconstruction for limited-data tomography,” Comput. Methods Sci. Technol. 13, 67–77 (2007).
  22. P. C. Hansen and D. P. O’Leary, “The use of the L-curve in the regularization of discrete ill-posed problems,” SIAM J. Sci. Comput. 14, 1487–1503 (1993). [CrossRef]
  23. G. H. Golub, M. Heath, and G. Wahba, “Generalized cross validation as a method for choosing a good ridge parameter,” Technometrics 21, 215–223 (1979). [CrossRef]
  24. V. A. Morozov, “On the solution of functional equations by the method of regularization,” Sov. Math. Dokl. 7, 414–417 (1966).
  25. D. Simon, Optimal State Estimation (Wiley, 2006). [CrossRef]
  26. FDS-SMV, “Fire dynamics simulator,” Software Package, Version 5.5, National Institute for Standards and Technology, 2010.
  27. K. McGrattan and G. Forney, Fire Dynamics Simulator (Version 5) Technical Reference Guide (U. S. Government Printing Office, 2009).
  28. Z. H. Yan, “A numerical study of effect of initial condition on large eddy simulation of thermal plume,” Numer. Heat Transf. B 43, 167–178 (2003). [CrossRef]
  29. Z. H. Yan, “Large eddy simulations of a turbulent thermal plume,” Heat Mass Transfer 43, 503–514 (2007). [CrossRef]
  30. X. Zhou, K. H. Luo, and J. J. R. Williams, “Large-eddy simulation of a turbulent forced plume,” Eur. J. Mech. B, Fluids 20, 233–254 (2001). [CrossRef]
  31. L. S. Rothman, I. E. Gordon, A. Barbe, D. C. Benner, P. F. Bernath, M. Birk, V. Boudon, L. R. Brown, A. Campargue, J.-P. Champion, K. Chance, L. H. Coudert, V. Dana, V. M. Devi, S. Fally, J.-M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, I. Kleiner, N. Lacome, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, S. N. Mikhailenko, C. E. Miller, N. Moazzen-Ahmadi, O. V. Naumenko, A. V. Nikitin, J. Orphal, V. I. Perevalov, A. Perrin, A. Predoi-Cross, C. P. Rinsland, M. Rotger, M. Šimečková, M. A. H. Smith, K. Sung, S. A. Tashkun, J. Tennyson, R. A. Toth, A. C. Vandaelè, and D. Vander Auwera, “The HITRAN 2008 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009). [CrossRef]

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