Roll Misalignments and Skew Errors of IR Triplet Quads
- Brookhaven National Lab. (BNL), Upton, NY (United States)
The differential equation for the vertical closed orbit displacement y is y"+ Ky = D where a prime indicates differentiation with respect to azimuthal location, D is the inverse of the local bending radius, and K is the local quadrupole strength (positive for vertical focussing). The solution for a point source of strength Δy' with periodic boundary conditions is familiar: y= Δy' $$\frac{√βγβγ0}{2 sin(πQy)}$$.
- Research Organization:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC02-98CH10886
- OSTI ID:
- 1119407
- Report Number(s):
- BNL--102122-2013-IR
- Country of Publication:
- United States
- Language:
- English
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