--------------------------------------------------------------- MQXB (FNAL High Gradient Quad) Reference Harmonics at COLLISION --------------------------------------------------------------- Version 2.0 October 27, 1998 *************************************************************************** Dec 7 98: changed magnet end lengths. Quoted harmonic values are given in "units" of 10^-4 of the main quadrupole field at 17 mm reference radius. These harmonics are AFTER tuning shim correction has been applied. European convention: b2 is quadrupole! Injection and collision BODY harmonics differ only in n = 3 and 6. Magnetic length of the straight section: Q1/Q3: L = 6.3 [m] - L(lead end) - L(return end) Q2a/Q2b: L = 5.5 [m] - L(lead end) - L(return end) where L(lead end) = 0.41 [m], and L(return end) = 0.33 [m] Notation: bn/an: 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 Bn/An: Integrated harmonics (at lead ends) coil id 70 mm ref. radius R 17 mm BODY (unit) -------------------------------------------------------------------------- n bn d(bn) sig(bn) an d(an) sig(an) -------------------------------------------------------------------------- 3 .0 .3 .8 .0 .3 .8 4 .0 .2 .8 .0 .2 .8 5 .0 .2 .3 .0 .2 .3 6 .0 .6 .6 .0 .05 .1 7 .0 .05 .06 .0 .04 .06 8 .0 .03 .05 .0 .03 .04 9 .0 .02 .03 .0 .02 .02 10 .0 .02 .03 .0 .02 .03 -------------------------------------------------------------------------- LEAD END (unit-m) -------------------------------------------------------------------------- n Bn d(Bn) sig(Bn) An d(An) sig(An) -------------------------------------------------------------------------- 2 16.4 6 .82 .82 .31 .0 .21 .06 10 -.08 .08 .04 .0 .04 .04 -------------------------------------------------------------------------- RETURN END (unit-m) -------------------------------------------------------------------------- n Bn d(Bn) sig(Bn) An d(An) sig(An) -------------------------------------------------------------------------- 6 .0 .41 .31 10 -.08 .08 .04 --------------------------------------------------------------------------