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Present-day and next-generation accelerators, particularly for applicationsin driving wakefield-based schemes, require longitudinal beam shaping andattendant longitudinal characterization for experimental optimization. Here wepresent a diagnostic method which reconstructs the longitudinal beam profile atthe location of a wakefield-generating source. The methods presented derive thelongitudinal profile of a charged particle beam solely from measurement of thetime-resolved centroid energy change due to wakefield effects. Thereconstruction technique is based on a deconvolution algorithm that is fullygeneralizable to any analytically or numerically calculable Green's functionfor the wakefield excitation mechanism. This method is shown to yield precisefeatures in the longitudinal current distribution reconstruction. Wedemonstrate the accuracy and efficacy of this technique using simulations andexperimental examples, in both plasmas and dielectric structures, and compareto the experimentally measured longitudinal beam parameters as available. Thelimits of resolution and applicability to relevant scenarios are also examined.

Longitudinal current profile reconstruction from wakefield response in plasmas and structures