Vol. 22, issue 05, article # 4

Abstract:

A systematic description of basic laws of scattering within the framework of geometric optics is given in the paper along with a graphical representation for the refractive index m = 4/3 of partial phase scattering functions, presenting rays after p transitions inside a ball. Then the computational procedure for partial phase scattering functions in dependence of the scattering angle is studied. The procedure is iterative with the use of expansion of the inverse dependence of the incidence angle on the scattering angle. For a series of m values from 1.1 to 1.8 the graphs of summed phase scattering functions, obtained by this procedure, are presented. It follows from the analysis of the graphs that at the increase of the refractive index from 1.1 to 1.5 a growth of the angle (in which 90% of the scattered energy is concentrated) from ~ 20 to 90 is observed. At growing values of m>√ 2 a sharp increase of scattering in the back direction is observed. This is caused by shifting of a partial beam with p = 2 into this region. In a wide range of scattering angles in the frontal semisphere and in different subranges in the back semisphere the value of the summed phase scattering function is determined by the sum of partial phase scattering functions with p = 0 and 1, for which analytical expressions exist.

Keywords:

scattering phase function; refractive index; angular dependence; geometrical optics