Study of phase reconstruction techniques applied to Smith-Purcell radiation measurements

Abstract : Measurements of coherent radiation at accelerators typically give the absolute value of the beam profile Fourier transform but not its phase. Phase reconstruction techniques such as Hilbert transform or Kramers Kronig reconstruction are used to recover such phase. We report a study of the performances of these methods and how to optimize the reconstructed profiles.
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N. Delerue, J. Barros, M. Vieille-Grosjean, O. Bezshyyko, V. Khodnevych, et al.. Study of phase reconstruction techniques applied to Smith-Purcell radiation measurements. Christine Petit-Jean-Genaz; Gianluigi Arduini; Peter Michel; Volker RW Schaa. 5th International Particle Accelerator Conference IPAC'14, Jun 2014, Dresden, Germany. Joint Accelerator Conferences Website, THPME088, pp.3436-3438, 2014. ⟨in2p3-01020128⟩

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