THE EFFECT OF FORWARD, BACKWARD AND LINEAR ANISOTROPIC SCATTERING ON THE CRITICAL SLAB THICKNESS

摘要

The critical slab problem is studied for, one-speed time independent, plane symmetric linear transport equation, using a scattering kernel which consists of linear combinations of backward, forward and linear anisotropic scattering. The moment equations of P-N approximation written for anisotropic scattering kernel are transformed into moment equations for linear anisotropic scattering. This approach is based on the use of scale transformations. Moment solutions are connected with a subgroup of 2 x 2 reel symmetric matrices. Using the solution procedure given for linear anistropic scattering, the contribution of the combination of the linear anisotropy and delta-distributions to the critical slab thickness is obtained up to the P-15-approximation. [References: 35]