Physics
Scientific paper
May 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jqsrt..31..439g&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 31, May 1984, p. 439-455. Research supported
Physics
1
Atmospheric Temperature, Eigenvalues, Inhomogeneity, Radiative Heat Transfer, Stratosphere Radiation, Temperature Distribution, Absorption Spectra, Carbon Dioxide, Fredholm Equations, Stratospheric Warming
Scientific paper
In this paper, solutions to the problem of the radiative relaxation of temperature perturbations in an inhomogeneous, optically finite atmosphere are obtained. The properties of these indicate that there are only certain perturbations that decay at constant rates without changing their shape. These elementary perturbations constitute the radiative eigenfunctions for the atmosphere and can be utilized to represent perturbations of arbitrary initial shape, whose relaxation can be studied following the relaxation of its expansion in radiative eigenfunctions. The basic solutions for the inhomogeneous atmosphere (i.e., an atmosphere in which the mixing ratio, temperature or band width varies with height) are found in terms of the radiative eigenfunctions for a homogeneous model atmosphere in which the variable parameters have been replaced by averages. The solution for arbitrary initial perturbations is applied to a model of stratospheric warming (for the decaying phase). It is found that there is no perturbation in the stratosphere that can last longer than 30-35 days.
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