Abstract

The quasi-random model of band absorption provides a means for the accurate representation of molecular absorption over finite frequency intervals. It does not suffer from the limitations of the Elsasser and statistical models. The spacing between actual spectral lines is not constant nor does it vary in a random manner. The essential features of the actual arrangement of these lines are reproduced in the quasi-random model by the division of the frequency interval of interest into much smaller intervals within which the lines are assumed to be arranged at random. The actual intensity distribution including the important effect of the numerous weak lines is accurately simulated. A new expression for the transmittance related to a finite frequency interval is derived. The absorption from the wings of the spectral lines in other intervals is taken into account. Through these and other features the quasi-random model provides a means of accurately representing molecular absorptance over finite frequency intervals.

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  1. W. M. Elsasser, Phys. Rev. 54, 126 (1938).
  2. H. Mayer, "Methods of Opacity Calculations," Los Alamos, LA-647 (1947).
  3. R. M. Goody, Quart. J. Roy. Meteorol. Soc. 78, 165 (1952).
  4. L. D. Kaplan, Proc. Toronto Meteorol. Conf., 43 (1953).
  5. G. N. Plass, J. Opt. Soc. Am. 48, 690 (1958).
  6. D. Burch and D. Williams, Appl. Opt. 1, 587 (1962).
  7. P. J. Wyatt, V. R. Stull, and G. N. Plass, Appl. Opt. (to be published); Aeronutronic Division, Ford Motor Company, Publication No. U-1717 (1962).
  8. V. R. Stull, P. J. Wyatt, and G. N. Plass, Applied Optics (to be published); Aeronutronic Division, Ford Motor Company, Publication U-1718 (1962).
  9. G. N. Plass, J. Opt. Soc. Am. 50, 868 (1960).
  10. R. Landenberg and F. Reiche, Ann. Physik 42, 181 (1913).
  11. W. S. Benedict (private communication).
  12. C. G. J. Jacobi, J. für Math. 15, 12 (1836).
  13. J. H. Graf and E. Gubler, Einleitung in die Theorie der Besselshen Funktionen (K. J. Wyss, Bern, 1898), Vol. I, p. 86.

Benedict, W. S.

W. S. Benedict (private communication).

Burch, D.

D. Burch and D. Williams, Appl. Opt. 1, 587 (1962).

Elsasser, W. M.

W. M. Elsasser, Phys. Rev. 54, 126 (1938).

Goody, R. M.

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

Graf, J. H.

J. H. Graf and E. Gubler, Einleitung in die Theorie der Besselshen Funktionen (K. J. Wyss, Bern, 1898), Vol. I, p. 86.

Gubler, E.

J. H. Graf and E. Gubler, Einleitung in die Theorie der Besselshen Funktionen (K. J. Wyss, Bern, 1898), Vol. I, p. 86.

Jacobi, C. G. J.

C. G. J. Jacobi, J. für Math. 15, 12 (1836).

Kaplan, L. D.

L. D. Kaplan, Proc. Toronto Meteorol. Conf., 43 (1953).

Landenberg, R.

R. Landenberg and F. Reiche, Ann. Physik 42, 181 (1913).

Mayer, H.

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

Plass, G. N.

V. R. Stull, P. J. Wyatt, and G. N. Plass, Applied Optics (to be published); Aeronutronic Division, Ford Motor Company, Publication U-1718 (1962).

G. N. Plass, J. Opt. Soc. Am. 48, 690 (1958).

G. N. Plass, J. Opt. Soc. Am. 50, 868 (1960).

P. J. Wyatt, V. R. Stull, and G. N. Plass, Appl. Opt. (to be published); Aeronutronic Division, Ford Motor Company, Publication No. U-1717 (1962).

Reiche, F.

R. Landenberg and F. Reiche, Ann. Physik 42, 181 (1913).

Stull, V. R.

P. J. Wyatt, V. R. Stull, and G. N. Plass, Appl. Opt. (to be published); Aeronutronic Division, Ford Motor Company, Publication No. U-1717 (1962).

V. R. Stull, P. J. Wyatt, and G. N. Plass, Applied Optics (to be published); Aeronutronic Division, Ford Motor Company, Publication U-1718 (1962).

Williams, D.

D. Burch and D. Williams, Appl. Opt. 1, 587 (1962).

Wyatt, P. J.

V. R. Stull, P. J. Wyatt, and G. N. Plass, Applied Optics (to be published); Aeronutronic Division, Ford Motor Company, Publication U-1718 (1962).

P. J. Wyatt, V. R. Stull, and G. N. Plass, Appl. Opt. (to be published); Aeronutronic Division, Ford Motor Company, Publication No. U-1717 (1962).

Other

W. M. Elsasser, Phys. Rev. 54, 126 (1938).

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

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

L. D. Kaplan, Proc. Toronto Meteorol. Conf., 43 (1953).

G. N. Plass, J. Opt. Soc. Am. 48, 690 (1958).

D. Burch and D. Williams, Appl. Opt. 1, 587 (1962).

P. J. Wyatt, V. R. Stull, and G. N. Plass, Appl. Opt. (to be published); Aeronutronic Division, Ford Motor Company, Publication No. U-1717 (1962).

V. R. Stull, P. J. Wyatt, and G. N. Plass, Applied Optics (to be published); Aeronutronic Division, Ford Motor Company, Publication U-1718 (1962).

G. N. Plass, J. Opt. Soc. Am. 50, 868 (1960).

R. Landenberg and F. Reiche, Ann. Physik 42, 181 (1913).

W. S. Benedict (private communication).

C. G. J. Jacobi, J. für Math. 15, 12 (1836).

J. H. Graf and E. Gubler, Einleitung in die Theorie der Besselshen Funktionen (K. J. Wyss, Bern, 1898), Vol. I, p. 86.

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