Classical radiometry and radiative transfer theory: a short-wavelength limit of a general mapping of cross-spectral densities in second-order coherence theory

It is shown that the several specific intensities and generalized radiances, given by a mapping of the cross-spectral density in the statistical theory of wave fields, tend, respectively, in the limit of large wave numbers to quantities that have the properties of specific intensities and radiances of the classical theory of radiative energy transfer and radiometry. An example for quasi-homogeneous sources is given.