Threshold studies of the microwave instability in electron storage rings
نویسندگان
چکیده
منابع مشابه
A Linear Theory of Microwave Instability in Electron Storage Rings
The well-known Haissinski distribution provides a stable equilibrium of longitudinal beam distribution in electron storage rings below a threshold current. Yet, how to accurately determine this threshold, above which the Haissinski distribution becomes unstable, is not firmly established in theory. In this paper, we will show how to apply the Laguerre polynomials in an analysis of this stabilit...
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Bursting of coherent synchrotron radiation has been observed and in fact used to generate THz radiation in many electron storage rings. In order to understand and control the bursting, we return to the study of the microwave instability. In this paper, we will report on the theoretical understanding, including recent developments, of the microwave instability in electron storage rings. The hist...
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Stability of the Haissinski solution is studied above the threshold of microwave instability. It is shown that instability may lead to a new self-consistent state corresponding to particles trapped in a separat rix of an unstable mode. The free energies of the two solutions are compared. The relaxation oscillations between the new and Haissinski solutions are possible and may be related to the ...
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The Vlasov-Maxwell equations are used to investigate properties of the electron-ion two-stream instability for a continuous, high-intensity ion beam propagating in the zdirection with directed axial velocity Vb = βbc through a background population of (stationary) electrons. The analysis is carried out for arbitrary beam intensity, consistent with transverse confinement of the beam particles, a...
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A formal expression is obtained for the energy loss per . . _ turn, of a rigid bunch of electrons, to a closed cy lindrical cavity with quality factor Q. -The expression is valid provided the diameter of the entrance and exit ports for the beam are small ._.. .'compared to the bunch length. The effect of the ports is studied in an independent computational method. The energy loss is numerically...
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ژورنال
عنوان ژورنال: Physical Review Special Topics - Accelerators and Beams
سال: 2010
ISSN: 1098-4402
DOI: 10.1103/physrevstab.13.104402