A note on the variational method of Stokes and DeMarcus for radiative transfer in planetary atmospheres

Physics

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Planetary Atmospheres, Radiative Transfer, Variational Principles, Integral Equations, Reflectance, Solar Flux, Transmissivity

Scientific paper

A generalization of the variational principle of Stokes and DeMarcus (1971) by the construction of two bifunctionals is proposed. The equation of radiative transfer is obtained by imposing the stationary condition on such functionals, and the reflectivity and transmissivity at arbitrary angle are given by their extremum values. Further simplification is possible when trail functions are used that are linear in the variational parameters, in which case the source function derived from the method of Stokes and DeMarcus can give the reflectivity at arbitrary emergent angle to second order. The usefulness and limitations of these variational priinciples are explored with extensive numerical results.

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