On the Coherent Radiation of an Electron Bunch Moving in an Arc of a Circle
نویسندگان
چکیده
Existing theories of coherent synchrotron radiation (CSR) are related to the motion of an electron bunch on a circular orbit and do not describe the case of nite magnet length. In this paper we present the CSR theory for a bunch of any length moving in an arc of a nite angle. The radiative interaction of the electrons in the bunch is analyzed for a line charge distribution using ultrarelativistic approximation. It is shown in particular that this interaction is important not only inside the magnet but also on the straight part of the trajectory after the magnet. Detailed analytical study of the CSR e ects in the electron bunch with a stepped distribution of the charge density has been performed. The simple analytical technique of the radiative force calculation has been developed. The analytical solutions in the form of elementary functions are obtained for the radiative interaction force, for the energy loss distribution along the bunch and for the total energy loss of the bunch. The latter result is con rmed with calculation of the energy of coherent radiation in far zone. The criterium for the applicability region of the preceding theories to the case of a nite magnet length is obtained.
منابع مشابه
Coherent Radiation of an Electron Bunch Moving in an Arc of a Circle
The paper presents some analytical results of the theory of coherent synchrotron radiation (CSR) describing the case of finite curved track length.
متن کاملA Method for Ultrashort Electron Pulse Shape-Measurement Using Coherent Synchrotron Radiation
In this paper we discuss a method for nondestructive measurements of the longitudinal profile of sub-picosecond electron bunches for X-Ray Free Electron Lasers (XFELs). The method is based on the detection of the Coherent Synchrotron Radiation (CSR) spectrum produced by a bunch passing a dipole magnet system. This work also contains a systematic treatment of synchrotron radiation theory which l...
متن کاملBeam Instability and Microbunching due to Coherent Synchrotron Radiation
A relativistic electron beam moving in a circular orbit in free space can radiate coherently if the wavelength of the synchrotron radiation exceeds the length of the bunch. In accelerators coherent radiation of the bunch is usually suppressed by the screening effect of the conducting walls of the vacuum chamber [1, 2]. The screening effect is weak for short wavelengths, but if the wavelength is...
متن کاملSub-picosecond electron bunch length measurement by terahertz radiation S.Zhang S.Benson D.Douglas M.Shinn and G.Williams
This paper presents the measurement of sub-picosecond relativistic electron beam bunch length by analyzing the spectra of the coherent terahertz pulses through Kramers-Kronig transformation. The results are compared with autocorrelation from a scanning polarization autocorrelator that measures the coherent optical transition radiation. The limitations of the different methods to such a characte...
متن کامل