------------------------------------------------------------------ LHC High Gradient Quadrupole (HGQ) Expected Harmonics at Collision ------------------------------------------------------------------ Version 1.1 *************************************************************************** Quoted harmonic values are given in "units" of 10^-4 of the main quadrupole field at 1.0 cm reference radius. European convention: b2 is quadrupole! Notation: bn/am: Mean of normal/skew harmonics d(bn)/d(an): Uncertainty of mean normal/skew harmonics sig(bn)/sig(an): Standard deviation of normal/skew harmonics coil id 7.0 cm ref. radius R0 1.0 cm 2 R0/id 28.6% Body (unit) -------------------------------------------------------------------------- n bn d(bn) sig(bn) an d(an) sig(an) -------------------------------------------------------------------------- 3 0. 0.2 0.5 0. 0.2 0.5 4 0. 0.09 0.3 0. 0.09 0.3 5 0. 0.04 0.07 0. 0.04 0.07 6 0. 0.02 0.03 0. 0.02 0.03 7 0. 0.01 0.008 0. 0.01 0.008 8 0. 0.004 0.003 0. 0.004 0.003 9 0. 0.002 0.0016 0. 0.002 0.0016 10 0. 0.0009 0.0005 0. 0.0009 0.0005 -------------------------------------------------------------------------- Lead end (unit-m) -------------------------------------------------------------------------- n Bn d(Bn) sig(Bn) an d(An) sig(An) -------------------------------------------------------------------------- 2 0. 16. 6 0.27 0.0083 10 -0.0013 -0.00046 -------------------------------------------------------------------------- Return end (unit-m) -------------------------------------------------------------------------- n bn d(Bn) sig(Bn) an d(An) sig(An) -------------------------------------------------------------------------- 6 0.046 10 -0.0013 --------------------------------------------------------------------------