--------------------------------------------------------------- MQXB (FNAL High Gradient Quad) Reference Harmonics at INJECTION --------------------------------------------------------------- Version 3.0 January 31, 2000 *************************************************************************** Quoted harmonic values are given in "units" of 10^-4 of the main quadrupole field at 17 mm reference radius. 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 .600 .27 .0 .230 .27 4 .0 .150 .27 .0 .200 .27 5 .0 .150 .10 .0 .150 .10 6 -0.84 .600 .20 .0 .070 .03 7 .0 .040 .02 .0 .030 .02 8 .0 .008 .02 .0 .008 .01 9 .0 .008 .01 .0 .008 .01 10 .0 .008 .01 .0 .008 .01 -------------------------------------------------------------------------- LEAD END (unit-m) -------------------------------------------------------------------------- n Bn d(Bn) sig(Bn) An d(An) sig(An) -------------------------------------------------------------------------- 2 16.2 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 --------------------------------------------------------------------------