New Formulation of a General Three-Dimensional Cascade Theory

Abstract

A new simple and straightforward formulation of a general three-dimensional cascade is given. The resultant integral equations include those derived by Blatt as a special case. The equations have a number of interesting features which distinguish them from those commonly used in cascade theory. They also lead to a simple moment recursion relation which is valid for all energies and which includes various processes such as Compton effect and ionization loss. The paper greatly simplifies previous work on the subject.