Estimation of total radiative power from the 6-GeV ring Page: 2 of 5
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The total power radiated from a sinosoidal undulator is either given by
Pu (watts) = 0.633x103 E2 (GeV2) I(Amp) Bo (T2) L (m) (2)
Pu (watts) = 7.25 E2 (GeV2) I(Amp) N K2/a (cm) (3)
where N = number of undulator periods of length Xo (cm), K is the deflection
parameter given by 0.934 B(T) X0 (cm) and Bo is the peak magnetic field. For
a conventional hybrid magnet Bo is given-by
B0(T) = 3..33 exp[-G/X (5.47 - 1.8 G/X)] (4)
where G is the magnet gap in cm. In LS-22, we have discussed a spectrum of
undulators suitable for the 6-GeV ring and discussed their parameters. The
maximum power of 1555 watts was estimated for the undulator with X. =4.8 cm
and.G s 2.29 cm. In this estimate, we will assume the power radiated by each
of the undulators to be 2000 watts, although the actual power will be lower.
There will be definite need for wigglers on the 6-GeV ring, primarily to
increase the critical energy of the emitted photon spectrum. The critical
energy is given by
Ec (keV) a 0.6651 B (T) E (GeV2) (4)
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Shenoy, G.K. Estimation of total radiative power from the 6-GeV ring, report, April 18, 1985; Idaho Falls, Idaho. (digital.library.unt.edu/ark:/67531/metadc681297/m1/2/: accessed December 11, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.