Abstract

Laser-absorption tomography experiments infer the concentration distribution of a gas species from the attenuation of lasers transecting the flow field. Although reconstruction accuracy strongly depends on the layout of optical components, to date experimentalists have had no way to predict the performance of a given beam arrangement. This paper shows how the mathematical properties of the coefficient matrix are related to the information content of the attenuation data, which, in turn, forms a basis for a beam-arrangement design algorithm that minimizes the reliance on additional assumed information about the concentration distribution. When applied to a simulated laser-absorption tomography experiment, optimized beam arrangements are shown to produce more accurate reconstructions compared to other beam arrangements presented in the literature.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. P. Wright, C. A. Garcia-Stewart, J. S. Carey, F. P. Hindle, S. H. Pegrum, S. M. Colbourne, P. J. Turner, W. J. Hurr, T. J. Litt, S. C. Muray, S. D. Crossley, K. B. Ozanya, and H. McCann, “Towards in-cylinder absorption tomography in a production engine,” Appl. Opt. 44, 6578–6592 (2005).
    [CrossRef]
  2. M. T. Javed, N. Irfan, and B. M. Gibbs, “Control of combustion-generated nitrogen oxides by selective non-catalytic reduction,” J. Environ. Manag. 83, 251–289 (2007).
    [CrossRef]
  3. B. J. Kirby and R. K. Hanson, “Planar laser-induced fluorescence imaging of carbon monoxide using vibrational (infrared) transitions,” Appl. Phys. B 69, 505–507 (1999).
    [CrossRef]
  4. K. J. Daun, “Infrared species limited data tomography through Tikhonov regularization,” J. Quant. Spectrosc. Radiat. Tranfer 111, 105–115 (2010).
    [CrossRef]
  5. P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
    [CrossRef]
  6. N. Terzija, J. L. Davidson, C. A. Garcia-Stuart, P. Wright, K. B. Ozanyan, S. Pergrum, 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]
  7. S. Pal, K. B. Ozanyan, and H. McCann, “A computational study of tomographic measurement of carbon monoxide at minor concentrations,” Meas. Sci. Technol. 19, 094018 (2008).
    [CrossRef]
  8. D. Verhoeven, “Limited-data computed tomography algorithms for the physical sciences,” Appl. Opt. 32, 3736–3754 (1993).
    [CrossRef]
  9. S. Ibrahim, R. G. Green, K. Dutton, K. Evans, R. Abdul Rahim, and A. Goude, “Optical sensor configurations for process tomography,” Meas. Sci. Technol. 10, 1079–1086 (1999).
    [CrossRef]
  10. W. Menke, Geophysical Data Analysis: Discrete Inverse Theory (Academic, 1989), pp. 51–65.
  11. M. F. Modest, Radiative Heat Transfer (Academic, 2003), pp. 289–291.
  12. 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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
    [CrossRef]
  13. 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]
  14. L. Ma, W. Cai, A. W. Caswell, T. Kraetschmer, S. T. Sanders, S. Roy, and J. R. Gord, “Tomographic imaging of temperature and chemical species based on hyperspectral absorption spectroscopy,” Opt. Express 17, 8602–8613 (2009).
    [CrossRef]
  15. P. C. Hansen, Rank-Deficient and Discrete Ill-posed Problems (Siam, 1998), pp. 99–105.
  16. C. A. Garcia-Stewart, N. Polydorides, K. B. Ozanyan, and H. McCann, “Image reconstruction algorithms for high-speed chemical species tomography,” in Proceedings of 3rd World Conference on Industrial Process Tomography (Virtual Centre for Industrial and Process Tomography, 2003), pp. 80–85.
  17. N. Terzija and H. McCann, “Wavelet-based image reconstruction for hard-field tomography with severely limited data,” IEEE Sens. 11, 1885–1893 (2011).
    [CrossRef]
  18. K. Salem, E. Tsotsas, and D. Mewes, “Tomographic measurement of breakthrough in a packed bed absorber,” Chem. Eng. Sci. 60, 517–522 (2005).
    [CrossRef]
  19. R. Zdunek, “Multigrid regularized image reconstruction for limited-data tomography,” Comp. Meth. Sci. Tech. 13, 67–77 (2007).
  20. K. J. Daun, S. L. Waslander, and B. B. Tulloch, “Infrared species tomography of a transient flow field using Kalman filtering,” Appl. Opt. 50, 891–900 (2011).
    [CrossRef]
  21. M. Bertero and P. Boccacci, Inverse Problems in Imaging(Institute of Physics Publishing, 1998), pp. 200.
  22. J. M. Lees and R. S. Crosson, “Bayesian ART versus conjugate gradient methods in tomographic seismic imaging: an application at Mount St. Helens, Washington,” in Spatial Statistics and Imaging, A. Possolo, ed. (Institute of Mathematical Statistics, 1991), pp. 186–208.
  23. R. S. Crosson, “Crustal structure modeling of earthquake data 1. Simultaneous least squares estimation of hypocenter and velocity measurements,” J. Geophys. Res. 81, 3036–3046 (1976).
    [CrossRef]
  24. R. A. Wiggins, “The general linear inverse problem: implication of surface waves and free oscillations for earth structure,” Rev. Geophys. Space Phys. 10, 251–285 (1972).
    [CrossRef]
  25. J. K. MacCarthy, B. Borchers, and R. C. Aster, “Efficient stochastic estimation of the model resolution matrix diagonal and generalized cross-validation for large geophysical inverse problems,” J. Geophys. Res. 116, B10304 (2011).
    [CrossRef]
  26. J. G. Berryman, “Tomographic resolution without singular value decomposition,” Proc. SPIE 2301, 1–13 (1994).
    [CrossRef]
  27. W. Annicchiarico, J. Périaux, M. Cerrolaza, and G. Winter, Evolutionary Algorithms and Intelligent Tools for Engineering Optimization (WIT, 2005).

2011 (3)

N. Terzija and H. McCann, “Wavelet-based image reconstruction for hard-field tomography with severely limited data,” IEEE Sens. 11, 1885–1893 (2011).
[CrossRef]

K. J. Daun, S. L. Waslander, and B. B. Tulloch, “Infrared species tomography of a transient flow field using Kalman filtering,” Appl. Opt. 50, 891–900 (2011).
[CrossRef]

J. K. MacCarthy, B. Borchers, and R. C. Aster, “Efficient stochastic estimation of the model resolution matrix diagonal and generalized cross-validation for large geophysical inverse problems,” J. Geophys. Res. 116, B10304 (2011).
[CrossRef]

2010 (2)

K. J. Daun, “Infrared species limited data tomography through Tikhonov regularization,” J. Quant. Spectrosc. Radiat. Tranfer 111, 105–115 (2010).
[CrossRef]

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

2009 (2)

L. Ma, W. Cai, A. W. Caswell, T. Kraetschmer, S. T. Sanders, S. Roy, and J. R. Gord, “Tomographic imaging of temperature and chemical species based on hyperspectral absorption spectroscopy,” Opt. Express 17, 8602–8613 (2009).
[CrossRef]

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

2008 (2)

N. Terzija, J. L. Davidson, C. A. Garcia-Stuart, P. Wright, K. B. Ozanyan, S. Pergrum, 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]

S. Pal, K. B. Ozanyan, and H. McCann, “A computational study of tomographic measurement of carbon monoxide at minor concentrations,” Meas. Sci. Technol. 19, 094018 (2008).
[CrossRef]

2007 (2)

M. T. Javed, N. Irfan, and B. M. Gibbs, “Control of combustion-generated nitrogen oxides by selective non-catalytic reduction,” J. Environ. Manag. 83, 251–289 (2007).
[CrossRef]

R. Zdunek, “Multigrid regularized image reconstruction for limited-data tomography,” Comp. Meth. Sci. Tech. 13, 67–77 (2007).

2006 (1)

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]

2005 (2)

1999 (2)

S. Ibrahim, R. G. Green, K. Dutton, K. Evans, R. Abdul Rahim, and A. Goude, “Optical sensor configurations for process tomography,” Meas. Sci. Technol. 10, 1079–1086 (1999).
[CrossRef]

B. J. Kirby and R. K. Hanson, “Planar laser-induced fluorescence imaging of carbon monoxide using vibrational (infrared) transitions,” Appl. Phys. B 69, 505–507 (1999).
[CrossRef]

1994 (1)

J. G. Berryman, “Tomographic resolution without singular value decomposition,” Proc. SPIE 2301, 1–13 (1994).
[CrossRef]

1993 (1)

1976 (1)

R. S. Crosson, “Crustal structure modeling of earthquake data 1. Simultaneous least squares estimation of hypocenter and velocity measurements,” J. Geophys. Res. 81, 3036–3046 (1976).
[CrossRef]

1972 (1)

R. A. Wiggins, “The general linear inverse problem: implication of surface waves and free oscillations for earth structure,” Rev. Geophys. Space Phys. 10, 251–285 (1972).
[CrossRef]

Abdul Rahim, R.

S. Ibrahim, R. G. Green, K. Dutton, K. Evans, R. Abdul Rahim, and A. Goude, “Optical sensor configurations for process tomography,” Meas. Sci. Technol. 10, 1079–1086 (1999).
[CrossRef]

Annicchiarico, W.

W. Annicchiarico, J. Périaux, M. Cerrolaza, and G. Winter, Evolutionary Algorithms and Intelligent Tools for Engineering Optimization (WIT, 2005).

Aster, R. C.

J. K. MacCarthy, B. Borchers, and R. C. Aster, “Efficient stochastic estimation of the model resolution matrix diagonal and generalized cross-validation for large geophysical inverse problems,” J. Geophys. Res. 116, B10304 (2011).
[CrossRef]

Barbe, A.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Benner, D. C.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Bernath, P. F.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Berryman, J. G.

J. G. Berryman, “Tomographic resolution without singular value decomposition,” Proc. SPIE 2301, 1–13 (1994).
[CrossRef]

Bertero, M.

M. Bertero and P. Boccacci, Inverse Problems in Imaging(Institute of Physics Publishing, 1998), pp. 200.

Birk, M.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Boccacci, P.

M. Bertero and P. Boccacci, Inverse Problems in Imaging(Institute of Physics Publishing, 1998), pp. 200.

Borchers, B.

J. K. MacCarthy, B. Borchers, and R. C. Aster, “Efficient stochastic estimation of the model resolution matrix diagonal and generalized cross-validation for large geophysical inverse problems,” J. Geophys. Res. 116, B10304 (2011).
[CrossRef]

Boudon, V.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Brown, L. R.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Cai, W.

Campargue, A.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Carey, J. S.

Caswell, A. W.

Cerrolaza, M.

W. Annicchiarico, J. Périaux, M. Cerrolaza, and G. Winter, Evolutionary Algorithms and Intelligent Tools for Engineering Optimization (WIT, 2005).

Champion, J.-P.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Chance, K.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Colbourne, S. M.

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

P. Wright, C. A. Garcia-Stewart, J. S. Carey, F. P. Hindle, S. H. Pegrum, S. M. Colbourne, P. J. Turner, W. J. Hurr, T. J. Litt, S. C. Muray, S. D. Crossley, K. B. Ozanya, and H. McCann, “Towards in-cylinder absorption tomography in a production engine,” Appl. Opt. 44, 6578–6592 (2005).
[CrossRef]

Coudert, L. H.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Crossley, S. D.

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

P. Wright, C. A. Garcia-Stewart, J. S. Carey, F. P. Hindle, S. H. Pegrum, S. M. Colbourne, P. J. Turner, W. J. Hurr, T. J. Litt, S. C. Muray, S. D. Crossley, K. B. Ozanya, and H. McCann, “Towards in-cylinder absorption tomography in a production engine,” Appl. Opt. 44, 6578–6592 (2005).
[CrossRef]

Crosson, R. S.

R. S. Crosson, “Crustal structure modeling of earthquake data 1. Simultaneous least squares estimation of hypocenter and velocity measurements,” J. Geophys. Res. 81, 3036–3046 (1976).
[CrossRef]

J. M. Lees and R. S. Crosson, “Bayesian ART versus conjugate gradient methods in tomographic seismic imaging: an application at Mount St. Helens, Washington,” in Spatial Statistics and Imaging, A. Possolo, ed. (Institute of Mathematical Statistics, 1991), pp. 186–208.

Dana, V.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Daun, K. J.

K. J. Daun, S. L. Waslander, and B. B. Tulloch, “Infrared species tomography of a transient flow field using Kalman filtering,” Appl. Opt. 50, 891–900 (2011).
[CrossRef]

K. J. Daun, “Infrared species limited data tomography through Tikhonov regularization,” J. Quant. Spectrosc. Radiat. Tranfer 111, 105–115 (2010).
[CrossRef]

Davidson, J. L.

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

N. Terzija, J. L. Davidson, C. A. Garcia-Stuart, P. Wright, K. B. Ozanyan, S. Pergrum, 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]

Devi, V. M.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Dutton, K.

S. Ibrahim, R. G. Green, K. Dutton, K. Evans, R. Abdul Rahim, and A. Goude, “Optical sensor configurations for process tomography,” Meas. Sci. Technol. 10, 1079–1086 (1999).
[CrossRef]

Evans, K.

S. Ibrahim, R. G. Green, K. Dutton, K. Evans, R. Abdul Rahim, and A. Goude, “Optical sensor configurations for process tomography,” Meas. Sci. Technol. 10, 1079–1086 (1999).
[CrossRef]

Fally, S.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Flaud, J.-M.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Gamache, R. R.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Garcia-Castillo, S.

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

Garcia-Stewart, C. A.

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

P. Wright, C. A. Garcia-Stewart, J. S. Carey, F. P. Hindle, S. H. Pegrum, S. M. Colbourne, P. J. Turner, W. J. Hurr, T. J. Litt, S. C. Muray, S. D. Crossley, K. B. Ozanya, and H. McCann, “Towards in-cylinder absorption tomography in a production engine,” Appl. Opt. 44, 6578–6592 (2005).
[CrossRef]

C. A. Garcia-Stewart, N. Polydorides, K. B. Ozanyan, and H. McCann, “Image reconstruction algorithms for high-speed chemical species tomography,” in Proceedings of 3rd World Conference on Industrial Process Tomography (Virtual Centre for Industrial and Process Tomography, 2003), pp. 80–85.

Garcia-Stuart, C. A.

N. Terzija, J. L. Davidson, C. A. Garcia-Stuart, P. Wright, K. B. Ozanyan, S. Pergrum, 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]

Gibbs, B. M.

M. T. Javed, N. Irfan, and B. M. Gibbs, “Control of combustion-generated nitrogen oxides by selective non-catalytic reduction,” J. Environ. Manag. 83, 251–289 (2007).
[CrossRef]

Goldman, A.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Gord, J. R.

Gordon, I. E.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Goude, A.

S. Ibrahim, R. G. Green, K. Dutton, K. Evans, R. Abdul Rahim, and A. Goude, “Optical sensor configurations for process tomography,” Meas. Sci. Technol. 10, 1079–1086 (1999).
[CrossRef]

Green, R. G.

S. Ibrahim, R. G. Green, K. Dutton, K. Evans, R. Abdul Rahim, and A. Goude, “Optical sensor configurations for process tomography,” Meas. Sci. Technol. 10, 1079–1086 (1999).
[CrossRef]

Hansen, P. C.

P. C. Hansen, Rank-Deficient and Discrete Ill-posed Problems (Siam, 1998), pp. 99–105.

Hanson, R. K.

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]

B. J. Kirby and R. K. Hanson, “Planar laser-induced fluorescence imaging of carbon monoxide using vibrational (infrared) transitions,” Appl. Phys. B 69, 505–507 (1999).
[CrossRef]

Hindle, F. P.

Hurr, W. J.

Ibrahim, S.

S. Ibrahim, R. G. Green, K. Dutton, K. Evans, R. Abdul Rahim, and A. Goude, “Optical sensor configurations for process tomography,” Meas. Sci. Technol. 10, 1079–1086 (1999).
[CrossRef]

Irfan, N.

M. T. Javed, N. Irfan, and B. M. Gibbs, “Control of combustion-generated nitrogen oxides by selective non-catalytic reduction,” J. Environ. Manag. 83, 251–289 (2007).
[CrossRef]

Jacquemart, D.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Javed, M. T.

M. T. Javed, N. Irfan, and B. M. Gibbs, “Control of combustion-generated nitrogen oxides by selective non-catalytic reduction,” J. Environ. Manag. 83, 251–289 (2007).
[CrossRef]

Jeffries, J. B.

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]

Kirby, B. J.

B. J. Kirby and R. K. Hanson, “Planar laser-induced fluorescence imaging of carbon monoxide using vibrational (infrared) transitions,” Appl. Phys. B 69, 505–507 (1999).
[CrossRef]

Kleiner, I.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Klingbeil, A. E.

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]

Kraetschmer, T.

Lacome, N.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Lafferty, W. J.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Lees, J. M.

J. M. Lees and R. S. Crosson, “Bayesian ART versus conjugate gradient methods in tomographic seismic imaging: an application at Mount St. Helens, Washington,” in Spatial Statistics and Imaging, A. Possolo, ed. (Institute of Mathematical Statistics, 1991), pp. 186–208.

Litt, T. J.

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

N. Terzija, J. L. Davidson, C. A. Garcia-Stuart, P. Wright, K. B. Ozanyan, S. Pergrum, 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]

P. Wright, C. A. Garcia-Stewart, J. S. Carey, F. P. Hindle, S. H. Pegrum, S. M. Colbourne, P. J. Turner, W. J. Hurr, T. J. Litt, S. C. Muray, S. D. Crossley, K. B. Ozanya, and H. McCann, “Towards in-cylinder absorption tomography in a production engine,” Appl. Opt. 44, 6578–6592 (2005).
[CrossRef]

Ma, L.

MacCarthy, J. K.

J. K. MacCarthy, B. Borchers, and R. C. Aster, “Efficient stochastic estimation of the model resolution matrix diagonal and generalized cross-validation for large geophysical inverse problems,” J. Geophys. Res. 116, B10304 (2011).
[CrossRef]

Mandin, J.-Y.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Massie, S. T.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

McCann, H.

N. Terzija and H. McCann, “Wavelet-based image reconstruction for hard-field tomography with severely limited data,” IEEE Sens. 11, 1885–1893 (2011).
[CrossRef]

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

N. Terzija, J. L. Davidson, C. A. Garcia-Stuart, P. Wright, K. B. Ozanyan, S. Pergrum, 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]

S. Pal, K. B. Ozanyan, and H. McCann, “A computational study of tomographic measurement of carbon monoxide at minor concentrations,” Meas. Sci. Technol. 19, 094018 (2008).
[CrossRef]

P. Wright, C. A. Garcia-Stewart, J. S. Carey, F. P. Hindle, S. H. Pegrum, S. M. Colbourne, P. J. Turner, W. J. Hurr, T. J. Litt, S. C. Muray, S. D. Crossley, K. B. Ozanya, and H. McCann, “Towards in-cylinder absorption tomography in a production engine,” Appl. Opt. 44, 6578–6592 (2005).
[CrossRef]

C. A. Garcia-Stewart, N. Polydorides, K. B. Ozanyan, and H. McCann, “Image reconstruction algorithms for high-speed chemical species tomography,” in Proceedings of 3rd World Conference on Industrial Process Tomography (Virtual Centre for Industrial and Process Tomography, 2003), pp. 80–85.

Menke, W.

W. Menke, Geophysical Data Analysis: Discrete Inverse Theory (Academic, 1989), pp. 51–65.

Mewes, D.

K. Salem, E. Tsotsas, and D. Mewes, “Tomographic measurement of breakthrough in a packed bed absorber,” Chem. Eng. Sci. 60, 517–522 (2005).
[CrossRef]

Mikhailenko, S. N.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Miller, C. E.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Moazzen-Ahmadi, N.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Modest, M. F.

M. F. Modest, Radiative Heat Transfer (Academic, 2003), pp. 289–291.

Muray, S. C.

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

P. Wright, C. A. Garcia-Stewart, J. S. Carey, F. P. Hindle, S. H. Pegrum, S. M. Colbourne, P. J. Turner, W. J. Hurr, T. J. Litt, S. C. Muray, S. D. Crossley, K. B. Ozanya, and H. McCann, “Towards in-cylinder absorption tomography in a production engine,” Appl. Opt. 44, 6578–6592 (2005).
[CrossRef]

Naumenko, O. V.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Nitikin, A. V.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Orphal, J.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Ozanya, K. B.

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

P. Wright, C. A. Garcia-Stewart, J. S. Carey, F. P. Hindle, S. H. Pegrum, S. M. Colbourne, P. J. Turner, W. J. Hurr, T. J. Litt, S. C. Muray, S. D. Crossley, K. B. Ozanya, and H. McCann, “Towards in-cylinder absorption tomography in a production engine,” Appl. Opt. 44, 6578–6592 (2005).
[CrossRef]

Ozanyan, K. B.

S. Pal, K. B. Ozanyan, and H. McCann, “A computational study of tomographic measurement of carbon monoxide at minor concentrations,” Meas. Sci. Technol. 19, 094018 (2008).
[CrossRef]

N. Terzija, J. L. Davidson, C. A. Garcia-Stuart, P. Wright, K. B. Ozanyan, S. Pergrum, 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]

C. A. Garcia-Stewart, N. Polydorides, K. B. Ozanyan, and H. McCann, “Image reconstruction algorithms for high-speed chemical species tomography,” in Proceedings of 3rd World Conference on Industrial Process Tomography (Virtual Centre for Industrial and Process Tomography, 2003), pp. 80–85.

Pal, S.

S. Pal, K. B. Ozanyan, and H. McCann, “A computational study of tomographic measurement of carbon monoxide at minor concentrations,” Meas. Sci. Technol. 19, 094018 (2008).
[CrossRef]

Pegrum, S. H.

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

P. Wright, C. A. Garcia-Stewart, J. S. Carey, F. P. Hindle, S. H. Pegrum, S. M. Colbourne, P. J. Turner, W. J. Hurr, T. J. Litt, S. C. Muray, S. D. Crossley, K. B. Ozanya, and H. McCann, “Towards in-cylinder absorption tomography in a production engine,” Appl. Opt. 44, 6578–6592 (2005).
[CrossRef]

Perevalov, V. I.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Pergrum, S.

N. Terzija, J. L. Davidson, C. A. Garcia-Stuart, P. Wright, K. B. Ozanyan, S. Pergrum, 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]

Périaux, J.

W. Annicchiarico, J. Périaux, M. Cerrolaza, and G. Winter, Evolutionary Algorithms and Intelligent Tools for Engineering Optimization (WIT, 2005).

Perrin, A.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Polydorides, N.

C. A. Garcia-Stewart, N. Polydorides, K. B. Ozanyan, and H. McCann, “Image reconstruction algorithms for high-speed chemical species tomography,” in Proceedings of 3rd World Conference on Industrial Process Tomography (Virtual Centre for Industrial and Process Tomography, 2003), pp. 80–85.

Predoi-Cross, A.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Rinsland, C. P.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Rotger, M.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Rothman, L. S.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Roy, S.

Salem, K.

K. Salem, E. Tsotsas, and D. Mewes, “Tomographic measurement of breakthrough in a packed bed absorber,” Chem. Eng. Sci. 60, 517–522 (2005).
[CrossRef]

Sanders, S. T.

Šimecková, M.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Smith, M. A. H.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Sung, K.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Tashkun, S. A.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Tennyson, J.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Terzija, N.

N. Terzija and H. McCann, “Wavelet-based image reconstruction for hard-field tomography with severely limited data,” IEEE Sens. 11, 1885–1893 (2011).
[CrossRef]

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

N. Terzija, J. L. Davidson, C. A. Garcia-Stuart, P. Wright, K. B. Ozanyan, S. Pergrum, 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]

Toth, R. A.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Tsotsas, E.

K. Salem, E. Tsotsas, and D. Mewes, “Tomographic measurement of breakthrough in a packed bed absorber,” Chem. Eng. Sci. 60, 517–522 (2005).
[CrossRef]

Tulloch, B. B.

Turner, P. J.

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

P. Wright, C. A. Garcia-Stewart, J. S. Carey, F. P. Hindle, S. H. Pegrum, S. M. Colbourne, P. J. Turner, W. J. Hurr, T. J. Litt, S. C. Muray, S. D. Crossley, K. B. Ozanya, and H. McCann, “Towards in-cylinder absorption tomography in a production engine,” Appl. Opt. 44, 6578–6592 (2005).
[CrossRef]

Vandaele, A. C.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Vander Auwera, J.

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Verhoeven, D.

Waslander, S. L.

Wiggins, R. A.

R. A. Wiggins, “The general linear inverse problem: implication of surface waves and free oscillations for earth structure,” Rev. Geophys. Space Phys. 10, 251–285 (1972).
[CrossRef]

Winter, G.

W. Annicchiarico, J. Périaux, M. Cerrolaza, and G. Winter, Evolutionary Algorithms and Intelligent Tools for Engineering Optimization (WIT, 2005).

Wright, P.

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

N. Terzija, J. L. Davidson, C. A. Garcia-Stuart, P. Wright, K. B. Ozanyan, S. Pergrum, 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]

P. Wright, C. A. Garcia-Stewart, J. S. Carey, F. P. Hindle, S. H. Pegrum, S. M. Colbourne, P. J. Turner, W. J. Hurr, T. J. Litt, S. C. Muray, S. D. Crossley, K. B. Ozanya, and H. McCann, “Towards in-cylinder absorption tomography in a production engine,” Appl. Opt. 44, 6578–6592 (2005).
[CrossRef]

Zdunek, R.

R. Zdunek, “Multigrid regularized image reconstruction for limited-data tomography,” Comp. Meth. Sci. Tech. 13, 67–77 (2007).

Appl. Opt. (3)

Appl. Phys. B (1)

B. J. Kirby and R. K. Hanson, “Planar laser-induced fluorescence imaging of carbon monoxide using vibrational (infrared) transitions,” Appl. Phys. B 69, 505–507 (1999).
[CrossRef]

Chem. Eng. Sci. (1)

K. Salem, E. Tsotsas, and D. Mewes, “Tomographic measurement of breakthrough in a packed bed absorber,” Chem. Eng. Sci. 60, 517–522 (2005).
[CrossRef]

Chemical Engineering J. (1)

P. Wright, N. Terzija, J. L. Davidson, S. Garcia-Castillo, C. A. Garcia-Stewart, S. H. Pegrum, S. M. Colbourne, P. J. Turner, S. D. Crossley, T. J. Litt, S. C. Muray, K. B. Ozanya, and H. McCann, “High-speed chemical species tomography in a multi-cylinder automotive engine,” Chemical Engineering J. 158, 2–10 (2010).
[CrossRef]

Comp. Meth. Sci. Tech. (1)

R. Zdunek, “Multigrid regularized image reconstruction for limited-data tomography,” Comp. Meth. Sci. Tech. 13, 67–77 (2007).

IEEE Sens. (1)

N. Terzija and H. McCann, “Wavelet-based image reconstruction for hard-field tomography with severely limited data,” IEEE Sens. 11, 1885–1893 (2011).
[CrossRef]

J. Environ. Manag. (1)

M. T. Javed, N. Irfan, and B. M. Gibbs, “Control of combustion-generated nitrogen oxides by selective non-catalytic reduction,” J. Environ. Manag. 83, 251–289 (2007).
[CrossRef]

J. Geophys. Res. (2)

J. K. MacCarthy, B. Borchers, and R. C. Aster, “Efficient stochastic estimation of the model resolution matrix diagonal and generalized cross-validation for large geophysical inverse problems,” J. Geophys. Res. 116, B10304 (2011).
[CrossRef]

R. S. Crosson, “Crustal structure modeling of earthquake data 1. Simultaneous least squares estimation of hypocenter and velocity measurements,” J. Geophys. Res. 81, 3036–3046 (1976).
[CrossRef]

J. Quant. Spectrosc. Radiat. Tranfer (1)

K. J. Daun, “Infrared species limited data tomography through Tikhonov regularization,” J. Quant. Spectrosc. Radiat. Tranfer 111, 105–115 (2010).
[CrossRef]

J. Quant. Spectrosc. Radiat. Transfer (1)

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. Nitikin, 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. Vandaele, and J. Vander Auwera, “The HITRAN 2008 Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer 110, 533–572 (2009).
[CrossRef]

Meas. Sci. Technol. (4)

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]

N. Terzija, J. L. Davidson, C. A. Garcia-Stuart, P. Wright, K. B. Ozanyan, S. Pergrum, 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]

S. Pal, K. B. Ozanyan, and H. McCann, “A computational study of tomographic measurement of carbon monoxide at minor concentrations,” Meas. Sci. Technol. 19, 094018 (2008).
[CrossRef]

S. Ibrahim, R. G. Green, K. Dutton, K. Evans, R. Abdul Rahim, and A. Goude, “Optical sensor configurations for process tomography,” Meas. Sci. Technol. 10, 1079–1086 (1999).
[CrossRef]

Opt. Express (1)

Proc. SPIE (1)

J. G. Berryman, “Tomographic resolution without singular value decomposition,” Proc. SPIE 2301, 1–13 (1994).
[CrossRef]

Rev. Geophys. Space Phys. (1)

R. A. Wiggins, “The general linear inverse problem: implication of surface waves and free oscillations for earth structure,” Rev. Geophys. Space Phys. 10, 251–285 (1972).
[CrossRef]

Other (7)

M. Bertero and P. Boccacci, Inverse Problems in Imaging(Institute of Physics Publishing, 1998), pp. 200.

J. M. Lees and R. S. Crosson, “Bayesian ART versus conjugate gradient methods in tomographic seismic imaging: an application at Mount St. Helens, Washington,” in Spatial Statistics and Imaging, A. Possolo, ed. (Institute of Mathematical Statistics, 1991), pp. 186–208.

W. Annicchiarico, J. Périaux, M. Cerrolaza, and G. Winter, Evolutionary Algorithms and Intelligent Tools for Engineering Optimization (WIT, 2005).

P. C. Hansen, Rank-Deficient and Discrete Ill-posed Problems (Siam, 1998), pp. 99–105.

C. A. Garcia-Stewart, N. Polydorides, K. B. Ozanyan, and H. McCann, “Image reconstruction algorithms for high-speed chemical species tomography,” in Proceedings of 3rd World Conference on Industrial Process Tomography (Virtual Centre for Industrial and Process Tomography, 2003), pp. 80–85.

W. Menke, Geophysical Data Analysis: Discrete Inverse Theory (Academic, 1989), pp. 51–65.

M. F. Modest, Radiative Heat Transfer (Academic, 2003), pp. 289–291.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (15)

Fig. 1.
Fig. 1.

Geometry of the ith beam transecting the tomography field.

Fig. 2.
Fig. 2.

Beam arrangements investigated in the literature: (a) orthogonal, 32 beams [1], (b) fan, 33 beams [16], (c) Terzija, 27 beams [6], and (d) Terzija, 32 beams [6].

Fig. 3.
Fig. 3.

Radon plot for Fig. 2(c). (s and θ are defined in Fig. 1.)

Fig. 4.
Fig. 4.

Contour plots of the resolution matrices corresponding to the beam arrangements in Figs. 2(a) and 2(d).

Fig. 5.
Fig. 5.

(a) Sample Gaussian phantom and (b) reconstruction using the beam arrangement in Fig. 2(a).

Fig. 6.
Fig. 6.

Singular values of the augmented matrix found using various λ for the beam array in Fig. 2(a).

Fig. 7.
Fig. 7.

Reconstruction error using various λ for the beam array in Fig. 2(a).

Fig. 8.
Fig. 8.

Fitness function and reconstruction error for the beam arrangement in Fig. 2(a).

Fig. 9.
Fig. 9.

Fitness function and reconstruction error for the beam arrangement in Fig. 2(b).

Fig. 10.
Fig. 10.

Genetic algorithm progression and optimal beam arrangement.

Fig. 11.
Fig. 11.

Error and normalized fitness comparison of beam arrangements.

Fig. 12.
Fig. 12.

LES simulation setup of turbulent buoyant methane plume [20].

Fig. 13.
Fig. 13.

Reconstruction error for various beam arrangements and buoyant methane phantom.

Fig. 14.
Fig. 14.

Sample LES phantom and reconstructed concentration profiles for various beam arrangements.

Fig. 15.
Fig. 15.

Normalized fitness and error for various m values.

Tables (1)

Tables Icon

Table 1. Average Reconstruction Errors for Original and Misaligned Beam Arrays

Equations (11)

Equations on this page are rendered with MathJax. Learn more.

lnIη0,iIη,i=b(Φi)=0κη[rΦi(u)]du,
κη=σηN=σηχ(r)PRoT,
bi=j=1nAijxj,
Lij={11/k0ifi=jifjneighborsiotherwise},
xλ=argmin{[AλL]x[b0]22}s.t.x0.
A#=(ATA+λ2LTL)1AT.
xλ=A#Axexact+A#δb=Rxexact+A#δb,
δx=xλxexact=(RI)xexact+A#δb,
F(Φ)=R(Φ)IF2.
ε=xexactxλxexact.
Φ*=argmin[F(Φ)].

Metrics