• Open Access

Statistical properties of spontaneous synchrotron radiation with arbitrary degree of coherence

Ihar Lobach, Valeri Lebedev, Sergei Nagaitsev, Aleksandr Romanov, Giulio Stancari, Alexander Valishev, Aliaksei Halavanau, Zhirong Huang, and Kwang-Je Kim
Phys. Rev. Accel. Beams 23, 090703 – Published 11 September 2020

Abstract

In a storage ring, turn-to-turn fluctuations in the intensity of spontaneous synchrotron radiation occur due to two mechanisms. The first mechanism is the quantum uncertainty in the number of emitted photons. The second mechanism is the turn-to-turn variations in the relative positions of classical pointlike electrons in the bunch. We present a unified description of both effects in the framework of quantum optics. We derive an equation for the fluctuations for an arbitrary degree of coherence, which generalizes previously reported results for temporally incoherent radiation. We compare the predictions of our calculation with a previous experiment at Brookhaven National Laboratory, where the latter mechanism was dominant and propose a new dedicated experiment in the Integrable Optics Test Accelerator (IOTA) at Fermilab, where the two mechanisms may have comparable contributions to the fluctuations. Finally, our calculation shows that the magnitude of the fluctuations is rather sensitive to the dimensions and the shape of the electron bunch, thereby indicating possible applications in beam instrumentation. In particular, the small vertical size of the flat beams in IOTA may be estimated via these fluctuations, whereas measurement by a conventional synchrotron radiation monitor is difficult due to the diffraction limit.

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  • Received 20 December 2019
  • Accepted 31 August 2020

DOI:https://doi.org/10.1103/PhysRevAccelBeams.23.090703

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Accelerators & Beams

Authors & Affiliations

Ihar Lobach*

  • The University of Chicago, Department of Physics, Chicago, Illinois 60637, USA

Valeri Lebedev, Sergei Nagaitsev, Aleksandr Romanov, Giulio Stancari, and Alexander Valishev

  • Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA

Aliaksei Halavanau and Zhirong Huang

  • SLAC National Accelerator Laboratory, Stanford University, Menlo Park, California 94025, USA

Kwang-Je Kim

  • Argonne National Accelerator Laboratory, Lemont, Illinois 60439, USA

  • *ilobach@uchicago.edu
  • Also at The Enrico Fermi Institute, The University of Chicago, Chicago, Illinois 60637, USA.

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Vol. 23, Iss. 9 — September 2020

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