Abstract

A method of line-by-line transmission calculation for a homogeneous atmospheric layer that uses the Fourier-transformed Voigt profile is presented. The method is based on a pure Voigt function with no approximation and an interference term that takes into account the line-mixing effect. One can use the method to calculate transmittance, considering each line shape as it is affected by temperature and pressure, with a line database with an arbitrary wave-number range and resolution. To show that the method is feasible for practical model development, we compared the calculated transmittance with that obtained with a conventional model, and good consistency was observed.

© 2002 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. S. R. Drayson, “Rapid computation of the Voigt profile,” J. Quant. Spectrosc. Radiat. Transfer 16, 611–614 (1976).
    [CrossRef]
  2. R. J. Wells, “Rapid approximation to the Voigt/Faddeeva function and its derivatives,” J. Quant. Spectrosc. Radiat. Transfer 62, 29–48 (1999).
    [CrossRef]
  3. B. H. Armstrong, “Spectrum line profiles: the Voigt function,” J. Quant. Spectrosc. Radiat. Transfer 7, 61–88 (1967).
    [CrossRef]
  4. A. H. Karp, “Efficient computation of spectral line shapes,” J. Quant. Spectrosc. Radiat. Transfer 20, 379–384 (1978).
    [CrossRef]
  5. H. Kobayashi, “Line-by-line calculation using Fourier-transformed Voigt function,” J. Quant. Spectrosc. Radiat. Transfer 62, 477–483 (1999).
    [CrossRef]
  6. L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
    [CrossRef]
  7. L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
    [CrossRef]
  8. S. A. Clough, R. D. Worsham, W. L. Smith, H. E. Revercomb, R. O. Knuteson, G. P. Anderson, M. L. Hoke, F. X. Kneizys, “Validation of FASCODE calculations with HIS spectral radiance measurements,” in Proceedings of the International Radiation Symposium, Lille, France, 18–24 August 1988 (Deepak, Hampton, Va., 1989), pp. 376–379.
  9. P. W. Rosenkranz, “Shape of the 5 mm oxygen band in the atmosphere,” IEEE Trans. Antennas Propag. AP-23, 498–506 (1975).
    [CrossRef]

1999 (2)

R. J. Wells, “Rapid approximation to the Voigt/Faddeeva function and its derivatives,” J. Quant. Spectrosc. Radiat. Transfer 62, 29–48 (1999).
[CrossRef]

H. Kobayashi, “Line-by-line calculation using Fourier-transformed Voigt function,” J. Quant. Spectrosc. Radiat. Transfer 62, 477–483 (1999).
[CrossRef]

1998 (1)

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

1992 (1)

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

1978 (1)

A. H. Karp, “Efficient computation of spectral line shapes,” J. Quant. Spectrosc. Radiat. Transfer 20, 379–384 (1978).
[CrossRef]

1976 (1)

S. R. Drayson, “Rapid computation of the Voigt profile,” J. Quant. Spectrosc. Radiat. Transfer 16, 611–614 (1976).
[CrossRef]

1975 (1)

P. W. Rosenkranz, “Shape of the 5 mm oxygen band in the atmosphere,” IEEE Trans. Antennas Propag. AP-23, 498–506 (1975).
[CrossRef]

1967 (1)

B. H. Armstrong, “Spectrum line profiles: the Voigt function,” J. Quant. Spectrosc. Radiat. Transfer 7, 61–88 (1967).
[CrossRef]

Anderson, G. P.

S. A. Clough, R. D. Worsham, W. L. Smith, H. E. Revercomb, R. O. Knuteson, G. P. Anderson, M. L. Hoke, F. X. Kneizys, “Validation of FASCODE calculations with HIS spectral radiance measurements,” in Proceedings of the International Radiation Symposium, Lille, France, 18–24 August 1988 (Deepak, Hampton, Va., 1989), pp. 376–379.

Armstrong, B. H.

B. H. Armstrong, “Spectrum line profiles: the Voigt function,” J. Quant. Spectrosc. Radiat. Transfer 7, 61–88 (1967).
[CrossRef]

Benner, D. C.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Brown, L. R.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Camy-Peyret, C.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Chance, K. V.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

Clough, S. A.

S. A. Clough, R. D. Worsham, W. L. Smith, H. E. Revercomb, R. O. Knuteson, G. P. Anderson, M. L. Hoke, F. X. Kneizys, “Validation of FASCODE calculations with HIS spectral radiance measurements,” in Proceedings of the International Radiation Symposium, Lille, France, 18–24 August 1988 (Deepak, Hampton, Va., 1989), pp. 376–379.

Dana, V.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

Devi, M.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Drayson, S. R.

S. R. Drayson, “Rapid computation of the Voigt profile,” J. Quant. Spectrosc. Radiat. Transfer 16, 611–614 (1976).
[CrossRef]

Edwards, D. P.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

Flaud, J.-M.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Gamache, R. R.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Goldman, A.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Hoke, M. L.

S. A. Clough, R. D. Worsham, W. L. Smith, H. E. Revercomb, R. O. Knuteson, G. P. Anderson, M. L. Hoke, F. X. Kneizys, “Validation of FASCODE calculations with HIS spectral radiance measurements,” in Proceedings of the International Radiation Symposium, Lille, France, 18–24 August 1988 (Deepak, Hampton, Va., 1989), pp. 376–379.

Jucks, K. W.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

Karp, A. H.

A. H. Karp, “Efficient computation of spectral line shapes,” J. Quant. Spectrosc. Radiat. Transfer 20, 379–384 (1978).
[CrossRef]

Kneizys, F. X.

S. A. Clough, R. D. Worsham, W. L. Smith, H. E. Revercomb, R. O. Knuteson, G. P. Anderson, M. L. Hoke, F. X. Kneizys, “Validation of FASCODE calculations with HIS spectral radiance measurements,” in Proceedings of the International Radiation Symposium, Lille, France, 18–24 August 1988 (Deepak, Hampton, Va., 1989), pp. 376–379.

Knuteson, R. O.

S. A. Clough, R. D. Worsham, W. L. Smith, H. E. Revercomb, R. O. Knuteson, G. P. Anderson, M. L. Hoke, F. X. Kneizys, “Validation of FASCODE calculations with HIS spectral radiance measurements,” in Proceedings of the International Radiation Symposium, Lille, France, 18–24 August 1988 (Deepak, Hampton, Va., 1989), pp. 376–379.

Kobayashi, H.

H. Kobayashi, “Line-by-line calculation using Fourier-transformed Voigt function,” J. Quant. Spectrosc. Radiat. Transfer 62, 477–483 (1999).
[CrossRef]

Malathy, V.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Mandin, J.-Y.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

Massie, S. T.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

McCann, A.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

Nemtchinov, V.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

Perrin, A.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Revercomb, H. E.

S. A. Clough, R. D. Worsham, W. L. Smith, H. E. Revercomb, R. O. Knuteson, G. P. Anderson, M. L. Hoke, F. X. Kneizys, “Validation of FASCODE calculations with HIS spectral radiance measurements,” in Proceedings of the International Radiation Symposium, Lille, France, 18–24 August 1988 (Deepak, Hampton, Va., 1989), pp. 376–379.

Rinsland, C. P.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Rosenkranz, P. W.

P. W. Rosenkranz, “Shape of the 5 mm oxygen band in the atmosphere,” IEEE Trans. Antennas Propag. AP-23, 498–506 (1975).
[CrossRef]

Rothman, L. S.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Schroeder, J.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

Smith, M. A. H.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Smith, W. L.

S. A. Clough, R. D. Worsham, W. L. Smith, H. E. Revercomb, R. O. Knuteson, G. P. Anderson, M. L. Hoke, F. X. Kneizys, “Validation of FASCODE calculations with HIS spectral radiance measurements,” in Proceedings of the International Radiation Symposium, Lille, France, 18–24 August 1988 (Deepak, Hampton, Va., 1989), pp. 376–379.

Tipping, R. H.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Toth, R. A.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Varanasi, P.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

Wattson, R. B.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

Wells, R. J.

R. J. Wells, “Rapid approximation to the Voigt/Faddeeva function and its derivatives,” J. Quant. Spectrosc. Radiat. Transfer 62, 29–48 (1999).
[CrossRef]

Worsham, R. D.

S. A. Clough, R. D. Worsham, W. L. Smith, H. E. Revercomb, R. O. Knuteson, G. P. Anderson, M. L. Hoke, F. X. Kneizys, “Validation of FASCODE calculations with HIS spectral radiance measurements,” in Proceedings of the International Radiation Symposium, Lille, France, 18–24 August 1988 (Deepak, Hampton, Va., 1989), pp. 376–379.

Yoshino, K.

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

IEEE Trans. Antennas Propag. (1)

P. W. Rosenkranz, “Shape of the 5 mm oxygen band in the atmosphere,” IEEE Trans. Antennas Propag. AP-23, 498–506 (1975).
[CrossRef]

J. Quant. Spectrosc. Radiat. Transfer (6)

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, M. Devi, V. Malathy, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, “The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

S. R. Drayson, “Rapid computation of the Voigt profile,” J. Quant. Spectrosc. Radiat. Transfer 16, 611–614 (1976).
[CrossRef]

R. J. Wells, “Rapid approximation to the Voigt/Faddeeva function and its derivatives,” J. Quant. Spectrosc. Radiat. Transfer 62, 29–48 (1999).
[CrossRef]

B. H. Armstrong, “Spectrum line profiles: the Voigt function,” J. Quant. Spectrosc. Radiat. Transfer 7, 61–88 (1967).
[CrossRef]

A. H. Karp, “Efficient computation of spectral line shapes,” J. Quant. Spectrosc. Radiat. Transfer 20, 379–384 (1978).
[CrossRef]

H. Kobayashi, “Line-by-line calculation using Fourier-transformed Voigt function,” J. Quant. Spectrosc. Radiat. Transfer 62, 477–483 (1999).
[CrossRef]

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

L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J.-M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J.-Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN atmospheric workstation): 1996 edition,” J. Quant. Spectrosc. Radiat. Transfer. 60, 665–710 (1998).
[CrossRef]

Other (1)

S. A. Clough, R. D. Worsham, W. L. Smith, H. E. Revercomb, R. O. Knuteson, G. P. Anderson, M. L. Hoke, F. X. Kneizys, “Validation of FASCODE calculations with HIS spectral radiance measurements,” in Proceedings of the International Radiation Symposium, Lille, France, 18–24 August 1988 (Deepak, Hampton, Va., 1989), pp. 376–379.

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 (2)

Fig. 1
Fig. 1

Sample transmittance calculations obtained with the FASCOD version 3P (dashed curve) and the L2FTV (solid curve) models for the wave-number region 1020.0–1020.5 cm-1. The thin solid curve at the bottom is the difference between the two calculations. The FASCOD calculation conditions are P = 55.29 hPa, T = 216.7K (Z = 20 km of U.S. Standard Atmosphere 1976), and a horizontal path of 1 km for O3 only. In this case, FASCOD parameter DV, which is the wave-number spacing for the interpolated result, is set to 0, which induces 0.001314 cm-1 internally. The molecular density is 4.769 × 1012 molecules/cm3. The FASCOD scanning function is the rectangular convolution for the transmission, and also the parameter SCAN is set to 0.0005 cm-1. The FASCOD minimum optical depth parameter DPTMIN is set to the default value, 2 × 10-4. The L2FTV method parameters are ν max = 1021.5 cm-1, ν min = 1018.95, res = 0.1247 cm-1, and Fourier-transform size F = 2048. For the L2FTV calculation, 74-line data included in the target wave-number range were used; the line intensity was taken into account.

Fig. 2
Fig. 2

Sample transmittance calculations including the line-mixing effect for a CO2 Q branch obtained with the FASCODE3P (A, dashed curve), the L2FTV (B, solid, thicker curve), and the L2FTV without the line mixing effect (C, solid, thinner curve) models. The thin solid curve at the bottom is the difference between the two models with the line-mixing effect. The FASCOD calculation conditions are P = 265 hPa; T = 223.3 K; and CO2 density, 3.011 × 1020 molecules/cm2 for a major isotope only. Other FASCOD parameters are equal to those in Fig. 1. The L2FTV method calculation conditions are res = 0.01736 cm-1, Fourier-transform size F = 2048, and a scaling factor for line-mixing effect k m that is heuristically given as 1.6. In the process of calculating FASCOD, small line shifts of ∼0.006 cm-1 were made on this band, and the L2FTV was also adopted for this sample.

Equations (9)

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

τ=1n1/2 ksαhr=1nj=1w1ν0j arjIjbs×exp2πir-1d-1/n,
ft=exp-ytν-tν2/4exp-itναhν,
y=αLαDln 21/2,
αh=Mc22kT1/2,
F=j Φjdj2Pwjj+ν-νjWjν-νj2+Pwjj2,
Wj=2P kjdk/djwkjνj-νk.
Kx, y=yπ-exp-t2y2+x-t2dt.
y+Wx-tx-t2+y2=0exp-yqW sinx-tq+cosx-tqdq.
ft=1+ikmWexp-ytν-tν2/4exp-itναhν,

Metrics