A SPECTRAL ANALYSIS OF THE ANISOTROPIC NEUTRON TRANSPORT KERNEL IN SLAB GEOMETRY WITH APPLICATIONS,
Abstract
A spectral analysis of the transport kernel for anisotropic scattering in finite slabs is achieved by first solving a type of generalized scattering problem for a subcritical slab. Initially, the scattering problem is stated as an inhomogeneous integral transport equation with a complex-valued source function. This is readily transformed to singular integral equations and linear constraints in which the space and angle variables enter as parameters. The sangular equations are transformed to Fredholm equations by an extension of Muskhelishvili's standard method and by analytic continuation. It is shown that for a wide class of scattering functions this particular Fredholm reduction yields equations which converge rapidly under iteratioon for all neutron productions and slab thicknesses. Specific applications to linear anisotropic and isotropic scattering in slab geometry are discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1963
- Accession Number
- AD0421060
Entities
People
- A. Léonard
- T. W. Mullikin
Organizations
- RAND Corporation