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Coherent Synchrotron Radiation (CSR)
Synchrotron radiation becomes coherent when the electron bunch length is smaller
than the wavelength being emitted. In this regime, the radiating fields of individual
electrons add in phase, producing an intensity that scales with the square of the
number of electrons instead of linearly as is the case for the more familiar
synchrotron emission. Since the number of electrons in a storage ring is typically
billions, this enhancement can be enormous, as shown in the calculated CIRCE flux.
The many orders of magnitude increase in far-IR intensity is the basis of our project and
enables new kinds of science.
The power emitted by electrons in a storage ring is given by
where N is the number of electrons, p( ) is a form factor,
and g( l) is a form factor dependent on the electron
bunch length l. When at wavelengths shorter than the electron bunch length (as is the case
for the usual synchrotron emission), g is zero and the power scales linearly with N. But
if the bunch length (or any structure on the bunch distribution) becomes shorter than
the wavelengths being emitted, the coherent term dominated and the power scales with
N2!
CSR is not normally observed in storage rings becuase the vacuum chamber
surrounding the electrons acts like a waveguide and does not propegate long enough
wavelengths to support CSR from the typical farily long electron bunches. If the electron
bunch length could be shortened enough, CSR will be emitted in a wavelength window between this
vacuum chamber cutoff and the bunch length as shown in the calculation below. The actual
expected flux values for CIRCE are shown in the flux page.
The 35th issue of the ICFA Beam Dynamics Newsletter
includes over 100 pages about coherent synchrotron radiation, December 2004. Many articles are
by CIRCE authors, with one paper describing the CIRCE proposed source.
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