[SLAC] [SLAC Pubs and Reports] SLAC-PUB-9627Single-Mode Coherent Synchrotron Radiation Instability Abstract The microwave instability driven by the coherent synchrotron radiation (CSR) has been previously studied neglecting effect of the shielding caused by the finite beam pipe aperture. In practice, the unstable mode can be close to the shielding threshold where the spectrum of the radiation in a toroidal beam pipe is discrete. In this paper, the CSR instability is studied in the case when it is driven by a single synchronous mode. A system of equations for the beam-wave interaction is derived and its similarity to the 1D FEL theory is demonstrated. In the linear regime, the growth rate of the instability is obtained and a transition to the case of continuous spectrum is discussed. The onlinear evolution of the single-mode instability, both with and without synchrotron damping and quantum diffusion, is also studied. (Equations render on Windows, Mac OS, AIX, Linux, Solaris, and IRIX with the techexplorer plug-in.) Full Text PDF slac-pub-9627 (205 KB) Compressed PostScript slac-pub-9627 (263 KB) Alternate download methods: old, ancient* *download methods - technical info More Information Full bibliographic data for this document, including its complete author list, is (or soon will be) available from SLAC's SPIRES-HEP Database. Please report problems with this file to posting@slac.stanford.edu. The SLAC preprint inventory is provided by the SLAC Technical Publications Department. Page generated 29 Jan 2003 @ 11:30 PST by htmlme.pl
The microwave instability driven by the coherent synchrotron radiation (CSR) has been previously studied neglecting effect of the shielding caused by the finite beam pipe aperture. In practice, the unstable mode can be close to the shielding threshold where the spectrum of the radiation in a toroidal beam pipe is discrete. In this paper, the CSR instability is studied in the case when it is driven by a single synchronous mode. A system of equations for the beam-wave interaction is derived and its similarity to the 1D FEL theory is demonstrated. In the linear regime, the growth rate of the instability is obtained and a transition to the case of continuous spectrum is discussed. The onlinear evolution of the single-mode instability, both with and without synchrotron damping and quantum diffusion, is also studied. (Equations render on Windows, Mac OS, AIX, Linux, Solaris, and IRIX with the techexplorer plug-in.)
(Equations render on Windows, Mac OS, AIX, Linux, Solaris, and IRIX with the techexplorer plug-in.)
PDF slac-pub-9627 (205 KB) Compressed PostScript slac-pub-9627 (263 KB) Alternate download methods: old, ancient* *download methods - technical info
Full bibliographic data for this document, including its complete author list, is (or soon will be) available from SLAC's SPIRES-HEP Database.