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Chromaticity (1,1)

Using Tracy2, we have used the two sextupoles families to keep the chromaticity during the ramping cycle fixed at a value of (1,1). Figure 7 shows the required integrated sextupole strength (the sextupoles are simulated as thin lenses). The figure 8 shows the magnetic field at the pole tip for the sextupoles, assuming a length of the sextupoles of 20 cm and a half-aperture of 18 mm. As can be seen, the required sextupole strength in the SF magnet is almost constant and the magnetic field follows a curve equivalent to the energy (given by F(t), equation 12) . The curve for SD is more complex with a maximum at energy of $\approx$1.5 GeV, not at the extraction. The strengths required can be easily provided by the current design of the SLS booster sextupoles.


  
Figure 7: Integrated sextupole strength for (1,1) chromaticity.
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Figure 8: Magnetic field at sextupole pole tip for (1,1) chromaticity.
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Marc Munoz
1998-11-18