Search for a chirp of a synchrotron x-ray beam at the European Synchrotron Radiation Facility: II. Analysis and theory

Jean-Francois Eloy; Andreas K. Freund

doi:10.1117/12.331831

1 December 1998 Search for a chirp of a synchrotron x-ray beam at the European Synchrotron Radiation Facility: II. Analysis and theory

Jean-Francois Eloy, Andreas K. Freund

Author Affiliations +

Proceedings Volume 3451, Time Structure of X-Ray Sources and Its Applications; (1998) https://doi.org/10.1117/12.331831
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1998, San Diego, CA, United States

Abstract

In an earlier paper the emission process of synchrotron radiation was studied theoretically for the current induced by a single electron interacting with a bending magnet showing that a chirp of the hard x-ray could be expected that could be used for a compression of x-ray bunches using dispersive optics. In this paper we will present a detailed analysis of the results of an experimental study that was conducted on a bending magnet beamline (BM5) at the ESRF to learn if such a chirp exists for an electron bunch as a function of the x-ray energy and of the emission angle below and above the electron orbit plane. Fourier transforms of the observed time signals were performed that indicated a phase shift of the x-rays with energy and emission angle. Using a classical method to describe the propagation of quasi-Gaussian beams and introducing partial time and space derivatives of the wave packet drift, we established a new relationship to describe analytically this particular behavior of synchrotron x-rays that involves a relativistic Doppler effect.

Citation Download Citation

Jean-Francois Eloy and Andreas K. Freund "Search for a chirp of a synchrotron x-ray beam at the European Synchrotron Radiation Facility: II. Analysis and theory", Proc. SPIE 3451, Time Structure of X-Ray Sources and Its Applications, (1 December 1998); https://doi.org/10.1117/12.331831

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