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**Example text**

A photon traveling in the s direction will spend a time dt = ds/c in the cylinder, where c is the velocity of light. The total amount of energy in the cylinder made up of photons traveling in the s direction within the solid angle da>s is that which crosses dns in time dt: FIG. 2. Radiative heating. THEORY OF RADIATIVE TRANSFER 19 The volume of the cylinder is ds dns and these quanta contribute to the energy density an amount Integrating over all directions we find for the energy density in the frequency range v to v + dv: Hence, where is the mean intensity of the radiation field.

82), the incident radiation Iv must include solar radiation where solar absorption can cause transitions between coupled levels or species. Both of the foregoing equations are written in the form appropriate to u>k. The equations can be closed by writing them for every k level between which communication is possible. For this closed set the sum of the population densities will be conserved. Although complicated, these calculations pose no difficulty for a modern computer provided that all of the coefficients are known, and therein lies the main difficulty of this work.

A 290, 187. The Hawaiian carbon dioxide measurements are reported by Bacastow, R. , Keeling, C. , and Whorf, T. , 1985, "Seasonal amplitude increase in the atmospheric CO2 concentration at Mauna Loa, Hawaii, 19591982," J. Geophys. Res. 90, 10529. Isotopic ratios are given by Evans, R. , 1955, The atomic nucleus. New York: McGraw-Hill. Data on atmospheric aerosol and clouds are reviewed by Mason, B. , 1957, The physics of clouds. Oxford: The Clarendon Press. Junge, C. , and Manson, J. , 1961, "Stratospheric aerosol studies," /.