OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 48, Iss. 10 — Oct. 1, 1958
  • pp: 690–702

Models for Spectral Band Absorption

GILBERT N. PLASS  »View Author Affiliations


JOSA, Vol. 48, Issue 10, pp. 690-702 (1958)
http://dx.doi.org/10.1364/JOSA.48.000690


View Full Text Article

Acrobat PDF (1463 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

An exhaustive, theoretical study is made of the various models that have been proposed to represent band absorption. These models are compared with each other; a derivation is given of the regions where they predict the same absorption. The regions of validity for various useful approximations to these models are also given. The statistical model is extended to include the random superposition of a finite number of Elsasser bands. Thus a continuous spectrum of absorption curves is obtained between the results for the Elsasser and the pure statistical models. The absorption predicted by the statistical model when there is a specific number of spectral lines in the frequency interval under consideration is compared with the limit as the number of lines approaches infinity. It is shown that the shape of the absorption curve obtained from the statistical model is independent of the distribution of line intensities in the band for most cases of interest. The absorption from the statistical model including the effe ts of overlapping is shown to depend only on an average equivalent width for a single line. This result is used to derive the band absorption for the statistical model with Lorentz, Doppler, and other line shapes.

Citation
GILBERT N. PLASS, "Models for Spectral Band Absorption," J. Opt. Soc. Am. 48, 690-702 (1958)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-48-10-690


Sort:  Author  |  Journal  |  Reset

References

  1. W. M. Elsasser, Phys. Rev. 54, 126 (1938).
  2. H. Mayer, "Methods of opacity calculations," Los Alamos, LA-647, Oct. 31, 1947.
  3. R. M. Goody, Quart. J. Roy. Meteorol. Soc. 78, 165 (1952).
  4. R. Landenberg and F. Reiche, Ann. Physik 42, 181 (1913).
  5. W. M. Elsasser, Heat Transfer by Infrared Radiation in the Atmosphere, Harvard Meteor. Studies No. 6 (Harvard University Press, Cambridge, Massachusetts, 1942).
  6. G. N. Plass, J. Meteorol., 11, 163 (1954). Only values of β less than unity were considered in this reference. Some of the limits are generalized in the present paper to include all values of β.
  7. O. Struve and C. T. Elvey, Astrophys. J. 79, 409 (1934).
  8. G. N. Plass and D. I. Fivel, Astrophys. J. 117, 225 (1953).
  9. R. M. Goody, The Physics of the Stratosphere (University Press, Cambridge, England, 1954), p. 163.
  10. Equations essentially identical with Eqs. (26) and (50) have been derived by L. D. Kaplan, Proc. Toronto Meteorol, Conf. 1953, 43.
  11. A. Erdélyi et al., Tables of Integral Transforms (McGraw-Hill Book Company, Inc., New York, 1954), Vol. I., p. 195.
  12. G. N. Plass, J. Opt. Soc. Am. 42, 677 (1952).
  13. G. N. Plass, Quart. J. Roy. Meteorol. Soc. 82, 30 (1956).
  14. G. N. Plass, Quart. J. Roy. Meteorol. Soc. 82, 310 (1956).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited