I. Introduction
Linear induction accelerators (LIAs) contain inductive ferromagnetic cores to maintain a voltage across the cell acceleration gap as the electron beam traverses the path. The time a given voltage can be maintained is given by the total volt-seconds that a core can support. From Faraday's Law,\begin{equation*} V\Delta t=\Delta BA_{\mathrm{c}}, \tag{1} \end{equation*}
where and are the accelerating pulse voltage and width, and and are the magnetic induction swing and cross-sectional area of the core, respectively. To maximize available volt-seconds, one must maximize both and . It is therefore advantageous to have material with as high as possible in order to maintain a reasonable accelerator cell size.