Abstract

A quadratic formula that accurately represents general absorptance is both developed for 5 cm−1 data on the 4ν2 + ν3 band of CO2 centered at 4853.58cm−1 and generalized to a polynomial function of the weak- and strong-line limits of known models.

© 1973 Optical Society of America

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References

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  1. G. N. Plass, J. Opt. Soc. Am. 48, 690 (1958).
    [CrossRef]
  2. R. M. Goody, Atmospheric Radiation (Oxford U.P., London, 1964), Vol. 1.
  3. D. Anding, “Band Model Methods for Computing Atmospheric Slant-Path Molecular Absorption,” Rept. No. 7142-21-T, Willow Run Labs., University of Michigan (1967).
  4. J. I. King, J. Quant. Spectrosc. Radiat. Transfer 4, 705 (1964).
    [CrossRef]
  5. A. S. Zachor, J. Quant. Spectrosc. Radiat. Transfer 8, 1341 (1968).
    [CrossRef]
  6. G. A. Gibson, J. H. Pierluissi, Appl. Opt. 10, 1509 (1971).
    [CrossRef] [PubMed]
  7. V. R. Stull, P. J. Wyatt, G. N. Plass, Appl. Opt. 3, 243 (1964).
    [CrossRef]
  8. P. J. Wyatt, V. R. Stull, G. N. Plass, Appl. Opt. 3, 229 (1964).
    [CrossRef]
  9. D. E. Burch, D. A. Gryvnak, R. R. Patty, “Absorption by Between 4500 and 5400 cm−1,” Rept. No. V-2955, CO2 Aeronutronic Division, Philco-Ford Motor Company (1964).
    [PubMed]
  10. H. Mayer, “Methods of Opacity Calculations,” Los Alamos LA-647 (1947).
  11. R. M. Goody, Quart. J. Roy. Meteorol. Soc. 78, 165 (1952).
    [CrossRef]
  12. W. L. Smith, “A Polynomial Representation of CO2 and H2O Transmission,” ESSA Technical Rept. NESC-47, Washington, D.C. (1969).
  13. A. A. Dmitriyev, E. M. Abakunova, U.S.S.R. Academy of Sciences, Atmos. Oceanic Phys. 6, 102 (1970).

1971

1970

A. A. Dmitriyev, E. M. Abakunova, U.S.S.R. Academy of Sciences, Atmos. Oceanic Phys. 6, 102 (1970).

1968

A. S. Zachor, J. Quant. Spectrosc. Radiat. Transfer 8, 1341 (1968).
[CrossRef]

1964

1958

1952

R. M. Goody, Quart. J. Roy. Meteorol. Soc. 78, 165 (1952).
[CrossRef]

1947

H. Mayer, “Methods of Opacity Calculations,” Los Alamos LA-647 (1947).

Abakunova, E. M.

A. A. Dmitriyev, E. M. Abakunova, U.S.S.R. Academy of Sciences, Atmos. Oceanic Phys. 6, 102 (1970).

Anding, D.

D. Anding, “Band Model Methods for Computing Atmospheric Slant-Path Molecular Absorption,” Rept. No. 7142-21-T, Willow Run Labs., University of Michigan (1967).

Burch, D. E.

D. E. Burch, D. A. Gryvnak, R. R. Patty, “Absorption by Between 4500 and 5400 cm−1,” Rept. No. V-2955, CO2 Aeronutronic Division, Philco-Ford Motor Company (1964).
[PubMed]

Dmitriyev, A. A.

A. A. Dmitriyev, E. M. Abakunova, U.S.S.R. Academy of Sciences, Atmos. Oceanic Phys. 6, 102 (1970).

Gibson, G. A.

Goody, R. M.

R. M. Goody, Quart. J. Roy. Meteorol. Soc. 78, 165 (1952).
[CrossRef]

R. M. Goody, Atmospheric Radiation (Oxford U.P., London, 1964), Vol. 1.

Gryvnak, D. A.

D. E. Burch, D. A. Gryvnak, R. R. Patty, “Absorption by Between 4500 and 5400 cm−1,” Rept. No. V-2955, CO2 Aeronutronic Division, Philco-Ford Motor Company (1964).
[PubMed]

King, J. I.

J. I. King, J. Quant. Spectrosc. Radiat. Transfer 4, 705 (1964).
[CrossRef]

Mayer, H.

H. Mayer, “Methods of Opacity Calculations,” Los Alamos LA-647 (1947).

Patty, R. R.

D. E. Burch, D. A. Gryvnak, R. R. Patty, “Absorption by Between 4500 and 5400 cm−1,” Rept. No. V-2955, CO2 Aeronutronic Division, Philco-Ford Motor Company (1964).
[PubMed]

Pierluissi, J. H.

Plass, G. N.

Smith, W. L.

W. L. Smith, “A Polynomial Representation of CO2 and H2O Transmission,” ESSA Technical Rept. NESC-47, Washington, D.C. (1969).

Stull, V. R.

Wyatt, P. J.

Zachor, A. S.

A. S. Zachor, J. Quant. Spectrosc. Radiat. Transfer 8, 1341 (1968).
[CrossRef]

Appl. Opt.

J. Opt. Soc. Am.

J. Quant. Spectrosc. Radiat. Transfer

J. I. King, J. Quant. Spectrosc. Radiat. Transfer 4, 705 (1964).
[CrossRef]

A. S. Zachor, J. Quant. Spectrosc. Radiat. Transfer 8, 1341 (1968).
[CrossRef]

Los Alamos LA-647

H. Mayer, “Methods of Opacity Calculations,” Los Alamos LA-647 (1947).

Quart. J. Roy. Meteorol. Soc.

R. M. Goody, Quart. J. Roy. Meteorol. Soc. 78, 165 (1952).
[CrossRef]

U.S.S.R. Academy of Sciences, Atmos. Oceanic Phys.

A. A. Dmitriyev, E. M. Abakunova, U.S.S.R. Academy of Sciences, Atmos. Oceanic Phys. 6, 102 (1970).

Other

W. L. Smith, “A Polynomial Representation of CO2 and H2O Transmission,” ESSA Technical Rept. NESC-47, Washington, D.C. (1969).

D. E. Burch, D. A. Gryvnak, R. R. Patty, “Absorption by Between 4500 and 5400 cm−1,” Rept. No. V-2955, CO2 Aeronutronic Division, Philco-Ford Motor Company (1964).
[PubMed]

R. M. Goody, Atmospheric Radiation (Oxford U.P., London, 1964), Vol. 1.

D. Anding, “Band Model Methods for Computing Atmospheric Slant-Path Molecular Absorption,” Rept. No. 7142-21-T, Willow Run Labs., University of Michigan (1967).

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Figures (1)

Fig. 1
Fig. 1

Measured (—) and calculated (–○–) transmittance for CO2 band.

Tables (1)

Tables Icon

Table I Transmittance Parameters and Statistics for CO2 Data at 296 K Averaged Over 5-cm−1 Intervals

Equations (7)

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

( - 1 / ln τ ) 2 = ( 1 / K u ) 2 + ( 2 / C u p e ) ,
( - 1 / ln τ ) 2 = ( 1 / K u ) 2 - ( M / K u ln τ s ) + ( - 1 / ln τ s ) 2 ,
Z 2 = B w x 2 + B s y 2 + B w s x y + B 2 w s x 2 y + B w 2 s x y 2 + ,
x = 1 / ln τ B ,             y = 1 / ln τ s ,             z = 1 / ln τ
τ s = 1 - P { n , [ n Γ ( n ) ( 2 C u p e / Π ) 1 / 2 ] 1 / n } ,
u = ( 1.0 + 0.0047 p ) p L ( 273 / 296 ) ,
p e = 1.3 + ( P - p ) ,

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