%0 Journal Article
%@ 1098-4402
%A Kasim, MF
%A Holloway, J
%A Ceurvorst, L
%A Levy, MC
%A Ratan, N
%A Sadler, J
%A Bingham, R
%A Burrows, PN
%A Trines, R
%A Wing, M
%A Norreys, P
%D 2015
%F discovery:1474460
%J Physical Review
%N 8
%T Quantitative single shot and spatially resolved plasma wakefield diagnostics
%U https://discovery.ucl.ac.uk/id/eprint/1474460/
%V 18
%X Diagnosing plasma conditions can give great advantages in optimizing plasma wakefield accelerator  experiments. One possible method is that of photon acceleration. By propagating a laser probe pulse  through a plasma wakefield and extracting the imposed frequency modulation, one can obtain an image of  the density modulation of the wakefield. In order to diagnose the wakefield parameters at a chosen point in  the plasma, the probe pulse crosses the plasma at oblique angles relative to the wakefield. In this paper,  mathematical expressions relating the frequency modulation of the laser pulse and the wakefield density  profile of the plasma for oblique crossing angles are derived. Multidimensional particle-in-cell simulation  results presented in this paper confirm that the frequency modulation profiles and the density modulation  profiles agree to within 10%. Limitations to the accuracy of the measurement are discussed in this paper.  This technique opens new possibilities to quantitatively diagnose the plasma wakefield density at known  positions within the plasma column.
%Z Published by the American Physical Society under the terms of  the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.