The objective of this work is to minimize the cost of the materials and maximize the performance of magnetic cores, a major cost component of a Heavy-Ion-Fusion, HIF, induction accelerator driver. This includes selection of the alloy for cost and performance, and maximizing the performance of each alloy evaluated. The two major performance parameters are the magnetic flux swing and the energy loss. The volt seconds of the cores, obtained from the flux swing with Faraday's Law, determines the beam energy and duration. Core losses from forming domains and moving their boundaries are a major factor in determining the efficiency of an induction accelerator.

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Abstract.A systems study, including physics, engineering and costing, has been conducted to assess the feasibility of a relativistic-klystron two-beam-accelemmr-(RK-TBA) system as a RF power source candidate for a 1 TeV linear collider. Several key issues associated with a realizable RK-TBA system have been addressed, and corresponding schemes have been developed and examined quantitatively. A point design example has been constructed to present a concrete conceptual design which has acceptable transverse and longitudinal beam stability properties. The overall efficiency of RF production for such a power source is estimated to be 36%, and the cost of the full system is estimated to be less than 1 billion dollars. OVERVIEW TBA IssuesAs a power source for linear colliders. The main advantage of .wo-beamaccelerator (1) is high efficiency for drive-beam to rf power conversion. Experimentally, very high peak powers have been achieved in free-electron-laser (2) and relativistic-klystron (3) devices. The basic concept of reacceleration was demonstrated in recent experiments at LLNL (4).These experimental successors not withstanding, several critical issues must be addressed if two-beam accelerators are to be viable as practical power sources for future linear colliders.The general concerns about relativistic-klystron two-beam accelerators (5) (RK-TBA) as a realizable power source evolve around 3 issues: * Work supported in part

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