Abstract

A discussion is presented on the application of numerical methods to line-by-line and measured transmittance data in the determination of the band model parameters for atmospheric nitrous oxide (N2O). A double exponential described by three absorber parameters and one spectral parameter is adopted as the analytical transmittance function over the three principal infrared bands. The model developed with the recommended numerical method reproduces the original data with an overall rms deviation of 1.49%. lowtran compatible model parameters are provided at 5-cm−1 intervals for 20-cm−1 resolution transmittance calculations, together with a vertical N2O concentration profile.

© 1984 Optical Society of America

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References

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  1. A. Adel, Astrophys. J. 88, 186 (1938).
    [CrossRef]
  2. D. Pierlotti, R. A. Rasmussen, Geophys. Res. Lett. 3, 265 (1976).
    [CrossRef]
  3. M. B. McElroy, S. C. Wofsy, Y. L. Yung, Philos. Trans. R. Soc. London 277, 159 (1977).
    [CrossRef]
  4. R. D. Hudson, E. I. Reed, R. D. Bojkow, Eds., “The Stratosphere 1981: Theory and Measurements,” World Meteorological Organization (NASA/Goddard Space Flight, Greenbelt, Md., 1982).
  5. L. S. Rothman et al.Appl. Opt. 22, 1616 (1983).
    [CrossRef] [PubMed]
  6. J. H. Pierluissi, K. Tomiyama, Appl. Opt. 19, 2298 (1980).
    [CrossRef] [PubMed]
  7. D. E. Burch, D. A. Gryvank, J. D. Pembrook, “Infrared Absorption Bands of Nitrous Oxide,” AFCRL-72-0387 (AFCRL, Hanscomb AFB, Mass.1972).
  8. J. M. Jarem, J. H. Pierluissi, M. Maragoudakis, Appl. Opt. 23, 000 (1984).
  9. A. J. La Rocca, Proc. IEEE 63, 75 (1975).
    [CrossRef]
  10. J. H. Pierluissi, K. Tomiyama, F. X. Kneizys, Appl. Opt. 20, 2517 (1981).
    [CrossRef] [PubMed]
  11. J. H. Pierluissi, K. Tomiyama, Appl. Opt. 22, 1628 (1983).
    [CrossRef] [PubMed]
  12. H. J. P. Smith, D. J. Dube, M.E. Gardner, S. A. Clough, F. X. Kneizys, L. S. Rothman, “fascode—Fast Atmospheric Signature Code,” AFGL-TR-78-0081 (AFGL, Hanscomb AFB, Mass., 1978).
  13. S. L. Valley, Ed., Handbook of Geophysics and Space Environments (McGraw-Hill, New York, 1956).
  14. M. S. H. Smith, “Compilation of Atmospheric Gas Concentration Profiles from 0 to 50 km,” NASA Tech. Memo. 83239 (NASA, Langley Research Center, Hampton, Va.1982).
  15. F. X. Kneizys et al. “Atmospheric Transmittance/Radiance: Computer Code lowtran 5,” AFGL ERP697 (AFGL, Hanscom AFB, Mass., 1980).

1984 (1)

J. M. Jarem, J. H. Pierluissi, M. Maragoudakis, Appl. Opt. 23, 000 (1984).

1983 (2)

1981 (1)

1980 (1)

1977 (1)

M. B. McElroy, S. C. Wofsy, Y. L. Yung, Philos. Trans. R. Soc. London 277, 159 (1977).
[CrossRef]

1976 (1)

D. Pierlotti, R. A. Rasmussen, Geophys. Res. Lett. 3, 265 (1976).
[CrossRef]

1975 (1)

A. J. La Rocca, Proc. IEEE 63, 75 (1975).
[CrossRef]

1938 (1)

A. Adel, Astrophys. J. 88, 186 (1938).
[CrossRef]

Adel, A.

A. Adel, Astrophys. J. 88, 186 (1938).
[CrossRef]

Burch, D. E.

D. E. Burch, D. A. Gryvank, J. D. Pembrook, “Infrared Absorption Bands of Nitrous Oxide,” AFCRL-72-0387 (AFCRL, Hanscomb AFB, Mass.1972).

Clough, S. A.

H. J. P. Smith, D. J. Dube, M.E. Gardner, S. A. Clough, F. X. Kneizys, L. S. Rothman, “fascode—Fast Atmospheric Signature Code,” AFGL-TR-78-0081 (AFGL, Hanscomb AFB, Mass., 1978).

Dube, D. J.

H. J. P. Smith, D. J. Dube, M.E. Gardner, S. A. Clough, F. X. Kneizys, L. S. Rothman, “fascode—Fast Atmospheric Signature Code,” AFGL-TR-78-0081 (AFGL, Hanscomb AFB, Mass., 1978).

Gardner, M.E.

H. J. P. Smith, D. J. Dube, M.E. Gardner, S. A. Clough, F. X. Kneizys, L. S. Rothman, “fascode—Fast Atmospheric Signature Code,” AFGL-TR-78-0081 (AFGL, Hanscomb AFB, Mass., 1978).

Gryvank, D. A.

D. E. Burch, D. A. Gryvank, J. D. Pembrook, “Infrared Absorption Bands of Nitrous Oxide,” AFCRL-72-0387 (AFCRL, Hanscomb AFB, Mass.1972).

Jarem, J. M.

J. M. Jarem, J. H. Pierluissi, M. Maragoudakis, Appl. Opt. 23, 000 (1984).

Kneizys, F. X.

J. H. Pierluissi, K. Tomiyama, F. X. Kneizys, Appl. Opt. 20, 2517 (1981).
[CrossRef] [PubMed]

H. J. P. Smith, D. J. Dube, M.E. Gardner, S. A. Clough, F. X. Kneizys, L. S. Rothman, “fascode—Fast Atmospheric Signature Code,” AFGL-TR-78-0081 (AFGL, Hanscomb AFB, Mass., 1978).

F. X. Kneizys et al. “Atmospheric Transmittance/Radiance: Computer Code lowtran 5,” AFGL ERP697 (AFGL, Hanscom AFB, Mass., 1980).

La Rocca, A. J.

A. J. La Rocca, Proc. IEEE 63, 75 (1975).
[CrossRef]

Maragoudakis, M.

J. M. Jarem, J. H. Pierluissi, M. Maragoudakis, Appl. Opt. 23, 000 (1984).

McElroy, M. B.

M. B. McElroy, S. C. Wofsy, Y. L. Yung, Philos. Trans. R. Soc. London 277, 159 (1977).
[CrossRef]

Pembrook, J. D.

D. E. Burch, D. A. Gryvank, J. D. Pembrook, “Infrared Absorption Bands of Nitrous Oxide,” AFCRL-72-0387 (AFCRL, Hanscomb AFB, Mass.1972).

Pierlotti, D.

D. Pierlotti, R. A. Rasmussen, Geophys. Res. Lett. 3, 265 (1976).
[CrossRef]

Pierluissi, J. H.

Rasmussen, R. A.

D. Pierlotti, R. A. Rasmussen, Geophys. Res. Lett. 3, 265 (1976).
[CrossRef]

Rothman, L. S.

L. S. Rothman et al.Appl. Opt. 22, 1616 (1983).
[CrossRef] [PubMed]

H. J. P. Smith, D. J. Dube, M.E. Gardner, S. A. Clough, F. X. Kneizys, L. S. Rothman, “fascode—Fast Atmospheric Signature Code,” AFGL-TR-78-0081 (AFGL, Hanscomb AFB, Mass., 1978).

Smith, H. J. P.

H. J. P. Smith, D. J. Dube, M.E. Gardner, S. A. Clough, F. X. Kneizys, L. S. Rothman, “fascode—Fast Atmospheric Signature Code,” AFGL-TR-78-0081 (AFGL, Hanscomb AFB, Mass., 1978).

Smith, M. S. H.

M. S. H. Smith, “Compilation of Atmospheric Gas Concentration Profiles from 0 to 50 km,” NASA Tech. Memo. 83239 (NASA, Langley Research Center, Hampton, Va.1982).

Tomiyama, K.

Wofsy, S. C.

M. B. McElroy, S. C. Wofsy, Y. L. Yung, Philos. Trans. R. Soc. London 277, 159 (1977).
[CrossRef]

Yung, Y. L.

M. B. McElroy, S. C. Wofsy, Y. L. Yung, Philos. Trans. R. Soc. London 277, 159 (1977).
[CrossRef]

Appl. Opt. (5)

Astrophys. J. (1)

A. Adel, Astrophys. J. 88, 186 (1938).
[CrossRef]

Geophys. Res. Lett. (1)

D. Pierlotti, R. A. Rasmussen, Geophys. Res. Lett. 3, 265 (1976).
[CrossRef]

Philos. Trans. R. Soc. London (1)

M. B. McElroy, S. C. Wofsy, Y. L. Yung, Philos. Trans. R. Soc. London 277, 159 (1977).
[CrossRef]

Proc. IEEE (1)

A. J. La Rocca, Proc. IEEE 63, 75 (1975).
[CrossRef]

Other (6)

H. J. P. Smith, D. J. Dube, M.E. Gardner, S. A. Clough, F. X. Kneizys, L. S. Rothman, “fascode—Fast Atmospheric Signature Code,” AFGL-TR-78-0081 (AFGL, Hanscomb AFB, Mass., 1978).

S. L. Valley, Ed., Handbook of Geophysics and Space Environments (McGraw-Hill, New York, 1956).

M. S. H. Smith, “Compilation of Atmospheric Gas Concentration Profiles from 0 to 50 km,” NASA Tech. Memo. 83239 (NASA, Langley Research Center, Hampton, Va.1982).

F. X. Kneizys et al. “Atmospheric Transmittance/Radiance: Computer Code lowtran 5,” AFGL ERP697 (AFGL, Hanscom AFB, Mass., 1980).

R. D. Hudson, E. I. Reed, R. D. Bojkow, Eds., “The Stratosphere 1981: Theory and Measurements,” World Meteorological Organization (NASA/Goddard Space Flight, Greenbelt, Md., 1982).

D. E. Burch, D. A. Gryvank, J. D. Pembrook, “Infrared Absorption Bands of Nitrous Oxide,” AFCRL-72-0387 (AFCRL, Hanscomb AFB, Mass.1972).

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Figures (4)

Fig. 1
Fig. 1

Comparison between the line-by-line (+) and measured (○) transmittance data and the proposed band model calculations (△) at P = 0.3040 atm, T = 229.7 K, and U = 1.446 atm cm in the ν2 band of N2O.

Fig. 2
Fig. 2

Comparison between the line-by-line (+) and measured (○) transmittance data and the proposed band model calculations (△) at various conditions in the ν1 band of N2O.

Fig. 3
Fig. 3

Comparisons between the line-by-line transmittance data (○) and the proposed band model (△) for various conditions in the ν2 band of N2O.

Fig. 4
Fig. 4

Comparisons between the line-by-line transmittance data (○) and the proposed band model (△) for various conditions in the ν3 band of N2O.

Tables (3)

Tables Icon

Table I Spectral Parameters for N2O Double-Exponential Model in Eqs. (3)(5) as Determined With a Mixture of Line-By-Line and Measured Transmittance Spectra at 20-cm−1 Resolution

Tables Icon

Table II Spectral Parameters for N2O Double-Exponential Model in Eqs. (3)(5) as Determined with a Mixture of Line-By-Line and Measured Transmittance Spectra at 20-cm−1 Resolution

Tables Icon

Table III Average Vertical Concentration Profile for Atmospheric N2O as Modified From Ref. 14 for Use With Proposed Band Model

Equations (9)

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τ ν = exp [ - K ν ( P , T ) d U ( Z ) ] ,
τ = τ ν ϕ ν d ν / ϕ ν d ν .
τ = exp ( - 10 a X ) ,
X = C + log 10 W ,
W = ( P P o ) n ( T o T ) m Z .
P = ( B - 1 ) p + P T ,
ɛ = i j [ τ ( i , j ) - τ M ( i , j ) ] 2 ,
τ ν = exp [ - K ν ( P , T ) U ( Z ) ] ,
U ( atm cm ) = 0.7732 × 10 - 4 ppmv ρ a ( g / m 3 ) Z ( km ) ,

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