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A Novel Approach in the One-Dimensional Phase Retrieval Problem and its Application to the Time Profile Reconstruction

DOI: 10.18429/JACoW-IPAC2016-MOPOY048 DOI Help

Authors: F. Bakkali Taheri (John Adams Institute, University of Oxford) , J. Cowley (John Adams Institute, University of Oxford) , G. Doucas (John Adams Institute, University of Oxford) , S. M. Hooker (John Adams Institute, University of Oxford) , I. V. Konoplevpresenter (John Adams Institute, University of Oxford) , R. Bartolini (Diamond Light Source)
Co-authored by industrial partner: No

Type: Conference Paper
Conference: IPAC2016
Peer Reviewed: No

State: Published (Approved)
Published: May 2016

Abstract: Accurate knowledge of the longitudinal profile of the bunch is important in the context of linear colliders, wake-field accelerators and for the next generation of light sources. As a result the non-destructive, single-shot evaluation of the profile is one of the challenging problems which can be addressed via spectral analysis of coherent radiation generated by a charged particle bunch. To reconstruct the bunch profile from the spectrum the phase retrieval problem has to be solved. Frequently applied methods, e.g. minimal phase retrieval or other iterative algorithms, are reliable if the Blaschke phase contribution is negligible. This is neither known a priori nor can it be assumed to apply to an arbitrary bunch profile. We present a novel approach which gives reproducible, most-probable and stable reconstructions for bunch profiles that would otherwise remain unresolved by the existing techniques. The algorithm proposed uses the output of Kramers-Kronig minimum phase as both initial and boundary conditions, providing a unique solution. To assure a converging solution, new conditions linked to the independently known experimental data such as beam charge were introduced.

Subject Areas: Technique Development

Technical Areas: Controls

Added On: 27/03/2017 14:26

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