The albedo problem for pure-quadratic scattering

The one speed and time-independent neutron transport equation can be considered for a homogeneous medium which thickness is identified as τ in plane geometry and has nucleus in it. Here, interaction of nucleuses which are in slab that its thickness is τ and neutrons that are incoming to the medium from outside is considered as depend on quadratic quantities. In other words, neutron-nucleus interactions are proportional with second degree of neutrons advent direction(μ ) and scattering direction (μ') . The Case's eigenfunctions and the orthogonality relations of them can be written for this scattering. In addition the half-space albedo problem can be investigated with the same way. In this study, the singular eigenfunctions method is used. For the predicted neutron fluxes over surfaces the albedo and the transmitting relations can be written easily. Thus the albedo and the transmitting values for the slab and the albedo values for the half-space can be found as numerical. To examine the accuracy of the results calculated data can be worked on by interpolation method. Thus, while the quadratic anisotropic coefficient goes to zero, the results are to be reduced to results in isotropic scattering condition. The interpolated results, which are calculated in this way, are achieved so convergent to isotropic results