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A new algorithm is developed for a fast and accurate computation of radiance fields with both optically thick and thin clouds. The idea is to use the scattering radiance field with a simple phase function (such as isotropic or Henyey-Greenstein phase function) as the initial radiance field, then calculate its perturbation due to the changes in the phase function using the adjoint method. The differences between the results of this algorithm and DISORT (256-stream) are negligible for both optically thin and thick clouds. This method can be as fast as solving a two or four stream radiative transfer computation for computing the reflected radiance field of clouds.
