ABSTRACT

Let us evaluate y for the two limiting cases Lo » )... and Lo « ).... First, assume that Lo »A. Also, suppose that the spectral densities ¢>T(K), ¢>CT(K), ¢>c(K) and F(K) decrease rapidly enough if K is increased. Examples of such spectral densities are those corresponding to the Kolmogorov, Gaussian and von Karman spectra (sections 6.2.3-6.2.5), and those for which the dependence on K is given by (K2 + KJ)-V where \I > 1. For such spectral densities, the main contribution to the integral in equation (7.161) is due to integration over small values of K, corresponding to inhomogeneities with scales I » ).... On the other hand, the effect of small-scale inhomogeneities with scales I « )... on the extinction coefficient y is negligible.