Abstract

A simple algorithm is presented for the analysis of transmission spectra provided by a lidar with an emission linewidth that is comparable with or larger than the absorption features of interest. The spreading of line shapes as seen by the lidar precludes use of the classical differential absorption lidar (DIAL) approach. However, it is assumed that, as with the DIAL method, small spectral intervals exist where single absorbers are dominant, and an inversion process for the transmission over such intervals is carried out for the absorber concentration. A second-stage algorithm based on singular-value decomposition is also provided to improve further the concentration estimates. An example situation for use of the algorithms is included wherein the objective is to estimate the concentration of a known trace gas in a composite transmission spectrum in the mid-infrared, where the dominant absorbers are water vapor and methane.

© 2005 Optical Society of America

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References

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  1. R. M. Measures, Laser Remote Sensing (Wiley-Interscience, 1984).
  2. L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
    [Crossref]
  3. W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes in FORTRAN: the Art of Scientific Computing (Cambridge U. Press, 1992).
  4. E. V. Degtiarev, A. R. Geiger, R. D. Richmond, “Monitoring of volatile organic compounds associated with waste disposal activities and gas pipeline leaks with a manportable mid-infrared DIAL,” in Laser Radar: Ranging and Atmospheric Lidar Techniques III, U. Schreiber, C. H. Werner, G. W. Kamerman, U. N. Singh, eds., Proc. SPIE4546, 74–81 (2002).
  5. H. R. Pruppacher, J. D. Klett, Microphysics of Clouds and Precipitation (Kluwer, 1998).
  6. P. L. Hanst, “QASoft’96: database and quantitative analysis program for measurement of gases,” Infrared Analysis, Inc., Anaheim, Calif., 1996.
  7. C. L. Korb, C. Y. Weng, “Effective frequency technique for finite spectral bandwidth effects,” Appl. Opt. 43, 3747–3751 (2004).
    [Crossref] [PubMed]

2004 (1)

2003 (1)

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Barbe, A.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Benner, D. C.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Brown, L. R.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Camy-Peyret, C.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Carleer, M. R.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Chance, K.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Clerbaux, C.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Dana, V.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Degtiarev, E. V.

E. V. Degtiarev, A. R. Geiger, R. D. Richmond, “Monitoring of volatile organic compounds associated with waste disposal activities and gas pipeline leaks with a manportable mid-infrared DIAL,” in Laser Radar: Ranging and Atmospheric Lidar Techniques III, U. Schreiber, C. H. Werner, G. W. Kamerman, U. N. Singh, eds., Proc. SPIE4546, 74–81 (2002).

Devi, V. M.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Fayt, A.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Flannery, B. P.

W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes in FORTRAN: the Art of Scientific Computing (Cambridge U. Press, 1992).

Flaud, J. M.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Gamache, R. R.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Geiger, A. R.

E. V. Degtiarev, A. R. Geiger, R. D. Richmond, “Monitoring of volatile organic compounds associated with waste disposal activities and gas pipeline leaks with a manportable mid-infrared DIAL,” in Laser Radar: Ranging and Atmospheric Lidar Techniques III, U. Schreiber, C. H. Werner, G. W. Kamerman, U. N. Singh, eds., Proc. SPIE4546, 74–81 (2002).

Goldman, A.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Hanst, P. L.

P. L. Hanst, “QASoft’96: database and quantitative analysis program for measurement of gases,” Infrared Analysis, Inc., Anaheim, Calif., 1996.

Jacquemart, D.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Jucks, K. W.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Klett, J. D.

H. R. Pruppacher, J. D. Klett, Microphysics of Clouds and Precipitation (Kluwer, 1998).

Korb, C. L.

Lafferty, W. J.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Mandin, J.-Y.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Massie, S. T.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Measures, R. M.

R. M. Measures, Laser Remote Sensing (Wiley-Interscience, 1984).

Nemtchinov, V.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Newnham, D. A.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Perrin, A.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Press, W. H.

W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes in FORTRAN: the Art of Scientific Computing (Cambridge U. Press, 1992).

Pruppacher, H. R.

H. R. Pruppacher, J. D. Klett, Microphysics of Clouds and Precipitation (Kluwer, 1998).

Richmond, R. D.

E. V. Degtiarev, A. R. Geiger, R. D. Richmond, “Monitoring of volatile organic compounds associated with waste disposal activities and gas pipeline leaks with a manportable mid-infrared DIAL,” in Laser Radar: Ranging and Atmospheric Lidar Techniques III, U. Schreiber, C. H. Werner, G. W. Kamerman, U. N. Singh, eds., Proc. SPIE4546, 74–81 (2002).

Rinsland, C. P.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Rothman, L. S.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Schroeder, J.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Smith, K. M.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Smith, M. A. H.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Tang, K.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Teukolsky, S. A.

W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes in FORTRAN: the Art of Scientific Computing (Cambridge U. Press, 1992).

Toth, R. A.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Vander Auwera, J.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Varanasi, P.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Vetterling, W. T.

W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes in FORTRAN: the Art of Scientific Computing (Cambridge U. Press, 1992).

Weng, C. Y.

Yoshino, K.

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Appl. Opt. (1)

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

L. S. Rothman, A. Barbe, D. C. Benner, L. R. Brown, C. Camy-Peyret, M. R. Carleer, K. Chance, C. Clerbaux, V. Dana, V. M. Devi, A. Fayt, J. M. Flaud, R. R. Gamache, A. Goldman, D. Jacquemart, K. W. Jucks, W. J. Lafferty, J.-Y. Mandin, S. T. Massie, V. Nemtchinov, D. A. Newnham, A. Perrin, C. P. Rinsland, J. Schroeder, K. M. Smith, M. A. H. Smith, K. Tang, R. A. Toth, J. Vander Auwera, P. Varanasi, K. Yoshino, “The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001,” J. Quant. Spectrosc. Radiat. Transfer 82, 5–44 (2003).
[Crossref]

Other (5)

W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes in FORTRAN: the Art of Scientific Computing (Cambridge U. Press, 1992).

E. V. Degtiarev, A. R. Geiger, R. D. Richmond, “Monitoring of volatile organic compounds associated with waste disposal activities and gas pipeline leaks with a manportable mid-infrared DIAL,” in Laser Radar: Ranging and Atmospheric Lidar Techniques III, U. Schreiber, C. H. Werner, G. W. Kamerman, U. N. Singh, eds., Proc. SPIE4546, 74–81 (2002).

H. R. Pruppacher, J. D. Klett, Microphysics of Clouds and Precipitation (Kluwer, 1998).

P. L. Hanst, “QASoft’96: database and quantitative analysis program for measurement of gases,” Infrared Analysis, Inc., Anaheim, Calif., 1996.

R. M. Measures, Laser Remote Sensing (Wiley-Interscience, 1984).

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Figures (9)

Fig. 1
Fig. 1

Comparison of various approximations to absorption versus optical depth τ, assuming that the laser is tuned to the absorption line-center frequency. Dotted curve, A0 = 1 − exp(−τ); dashed curve, AS,G = 1 − TS,G(ν0); dotted–dashed curve, AS,G = 1 − TS,G(ν0); solid curve, AS,L = 1 − TS,L(ν0). The first case is for β = 0, where β = ΔνLp is the ratio of emission and absorber linewidths; the other three cases are for β = 10.

Fig. 2
Fig. 2

Absorption coefficient spectrum for methane near 2948 cm−1 at STP. The six transition frequencies contributing to the absorption complex are marked by vertical lines, with lengths given by the absorption coefficients at those frequencies. The net absorption profile assuming Lorentzian line shapes is the dotted curve. The corresponding scanned line shape for an emission linewidth of 1.14 cm−1 is given by the solid curve, and the dashed curve is the scanned line shape based on the use of Eq. (6) summed over the six transition contributions. The average of the individual transition linewidths is ∼0.056 cm−1, leading to a linewidth ratio of βc ≈ 20; for the absorption complex as a whole, the linewidth ratio is β ≈ 1.3.

Fig. 3
Fig. 3

Scanned transmission corresponding to Fig. 2 for optical depths τ = 0.5 and 2. Solid curves are the rigorous numerical scanned profiles based on the Lorentzian absorption line shape. Dashed curves are the approximate analytical profiles from Eq. (13), based on the Gaussian absorption line shape.

Fig. 4
Fig. 4

Illustration of the process of making successive estimates of concentration by extrapolating the slope of absorption as a function of concentration. The first guess n1 is the abscissa of the intersection of the observed absorption value with the curve A′(n), which is the profile the absorption would have if transmission depended on concentration as described by Eq. (13).

Fig. 5
Fig. 5

Simulated transmission spectra (unscanned or monochromatic) of water vapor and methane and the composite spectrum as seen by a lidar scanning the spectral interval with a Gaussian line shape of 1.14 cm−1 half-width at the 1/exp points. Other assumed conditions: path length, 200 m; T = 32 °C; p = 1013 mbar; relative humidity, 40%; methane concentration, 2.2 ppm.

Fig. 6
Fig. 6

(a) Component scanned transmission spectra of water vapor, methane, and butane for r = 200 m, T = 32 °C, p = 1013 mbar, relative humidity of 40%, methane concentration of 2.2 ppm, and butane concentration of 0.1 ppm. (b) Net scanned transmission spectrum for the components described in (a).

Fig. 7
Fig. 7

(a) Portion of water vapor spectrum (solid curve) used for estimating water concentration with Eq. (17). SNR = 100, and 18 sample points are included. Other conditions are as described in caption to Fig. 5. (b) Water-depleted noisy input spectrum (solid curve) compared with the methane spectrum (dashed curve).

Fig. 8
Fig. 8

(a) Portion of the water-depleted noisy input spectrum (solid curve) used for estimating methane concentration. This is a close-up view of the dominant methane line evident in Fig. 7(b). (b) Input noisy spectrum with first-order estimated spectra of methane and water vapor divided out. The result is a noisy spectrum showing the presence of the trace gas (butane thin curve), the input spectrum of which is included for comparison (thick curve).

Fig. 9
Fig. 9

(a) Using the first-order water vapor and methane retrievals, a reconstructed scanned transmission spectrum is formed, and the difference between it and the noisy input spectrum is shown. This is the input spectrum for the second-stage singular-value decomposition least-squares fitting process. (b) Difference between the noisy input and the final estimated (reconstructed) scanned transmission spectra, including water, methane, and butane, is shown. The result appears nearly indistinguishable from the input noise spectrum, demonstrating close to an optimal fit of the retrieved and input spectra.

Equations (36)

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L ( ν L , ν ) = 1 π Δ ν L exp [ ( ν ν L ) 2 Δ ν L 2 ] .
σ S ( ν ) = L ( ν , ν ) σ ( ν ) d ν .
S σ S ( ν ) d ν = σ ( ν ) d ν .
σ = S γ p π 1 ( ν ν 0 ) 2 + γ p 2 .
σ = S π γ p exp [ ( ν ν 0 ) 2 π γ p 2 ] .
σ S , G = S π ( π γ p 2 + Δ ν L 2 ) 1 / 2 exp [ ( ν ν 0 ) 2 ( π γ p 2 + Δ ν L 2 ) ] .
T S ( ν ) = L ( ν , ν ) exp [ σ ( ν ) n r ] d ν .
T S , G ( ν ) = k = 0 ( 1 ) k ( σ 0 n r ) k k ! ( 1 + k Δ ν L 2 π γ p 2 ) 1 / 2 × exp { ( ν ν 0 ) 2 [ π γ p 2 + ( Δ ν L 2 / k ) ] } = 1 σ eff n r exp [ ( ν ν 0 ) 2 ( π γ p 2 + Δ ν L 2 ) ] + ,
σ eff = σ 0 [ 1 + ( Δ ν L 2 / π γ p 2 ) ] 1 / 2 .
T S , G ( ν ) = exp { σ eff n r exp [ ( ν ν 0 ) 2 ( π γ p 2 + Δ ν L 2 ) ] } .
T S , L ( τ , β ) = 1 π exp ( x 2 ) exp ( τ β 2 x 2 + 1 ) d x ,
n ( p , T ) = 7.244 × 10 12 p N ppm T [ molecules / cm 3 ] .
T S , G ( ν ) = exp { i σ eff , i n r exp [ ( ν ν i ) 2 ( π γ p , i 2 + Δ ν L 2 ) ] } ,
σ eff , i = σ 0 [ 1 + ( Δ ν L 2 / π γ p , i 2 ) ] 1 / 2 ,
n 1 = Δ ν ln T S d ν r S Δ ν ,
A ( ν , n 1 ) + A n | n 1 Δ n = A obs ( ν , n ) ,
A n | n i = T S n | n i = r L ( ν , ν ) exp [ n i r σ ( ν ) ] σ ( ν ) d ν .
Δ n i + 1 = ( T s , i T s ) d ν r D i d ν ,
D i = L exp [ n i r σ ] σ d ν .
Δ T i = j T i n j | n a n j ,
T i = j T i j = j exp [ r n j σ i j ] ,
T i n j | n a = r T i a σ i j .
σ i j = log ( T i j a ) r n j a .
T i g / n g | n a = r L ( ν i , ν ) σ g d ν = r σ g , scan .
σ i g = σ g , scan .
T T a = K n ,
K i j = r T i a σ i j .
A i j = K i j α i ,
b i = T i T a i α i .
A = UW V T ,
n = j = 1 M ( U ( j ) b w j ) V ( j ) ,
var ( n j ) = i = 1 M ( V j i w i ) 2 .
α i = α = 1 / SNR
n υ ( T ) = r h e ν , s ( T 0 ) k T exp ( A ( T T 0 ) T B ) = 4.424 × 10 19 r h T × exp ( A ( T T 0 ) T B ) [ molecules / cm 3 ] ,
T S ( ν ) = L ( ν , ν ) exp [ r j n j σ j ( ν ) ] d ν ,
L exp ( r j n j σ j ) d ν Π j L exp ( r n j σ j ) d ν ;

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