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

The critical slab problem is studied for, one-speed time independent, plane symmetric linear transport equation, using a scattering kernel w hich consists of linear combinations of backward, forward and linear a nisotropic scattering. The moment equations of P-N approximation writt en for anisotropic scattering kernel are transformed into moment equat ions for linear anisotropic scattering. This approach is based on the use of scale transformations. Moment solutions are connected with a su bgroup of 2 x 2 reel symmetric matrices. Using the solution procedure given for linear anistropic scattering, the contribution of the combin ation of the linear anisotropy and delta-distributions to the critical slab thickness is obtained up to the P-15-approximation.