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In this paper we present the design, simulation, and proof of principleresults of an optimization based adaptive feed-forward algorithm forbeam-loading compensation in a high impedance room temperature cavity. We beginwith an overview of prior developments in beam loading compensation. Then wediscuss different techniques for adaptive beam loading compensation and why theuse of Newton's Method is of interest for this application. This is followed bysimulation and initial experimental results of this method.

Adaptive beam loading compensation in room temperature bunching cavities