June 11, 1998                                  SNS_Ring_D_exp.1

    (Version 1.0)

    Expected values of body harmonics in SNS Ring dipoles (0, 1, 2)

    [ <bn> = mean, sig(bn) = standard deviation for bn]
    
    (in [unit])

Order	<b_n>	sig(b_n)	<a_n>	sig(a_n)
1	0.0	0.0		0.0	0.0
2  	-0.2 	0.0 		0.0  	0.0
3	0.0	0.0		0.0	0.0
4  	 0.8 	0.0 		0.0  	0.0
5	0.0	0.0		0.0	0.0
6  	-0.8 	0.0 		0.0  	0.0
7	0.0	0.0		0.0	0.0
8  	-3.0 	0.0 		0.0  	0.0
9	0.0	0.0		0.0	0.0
10 	-4.4 	0.0 		0.0  	0.0
11	0.0	0.0		0.0	0.0
12 	-2.4	0.0 		0.0  	0.0

    Expected values of end harmonics in SNS Ring dipoles (0, 3)

    [ <Bn> = mean, sig(Bn) = standard deviation for Bn=bn dl]

    (in [unit m])

Order	<B_n>	sig(B_n)	<A_n>	sig(A_n)
2	1.0 (4)	0.0		1.0 (4)	0.0

Note: 

(0) The reference radius is 130 mm. Multipole order of 1 corresponds 
    to quadrupole field

(1) Body harmonics are normalized to 10^{-4} of the main field 
    at the reference radius of 130 mm; the unit is [unit]

(2) Based on SNS Ring dipole design geometry field calculation

(3) End harmonics are integrated values over the end region of about 
    15 cm  normalized to 10^{-4} of the main field at the reference 
    radius of 130 mm; the unit is [unit m]

(4) Based on AGS Booster dipole design with improved and shaped end
    to reduce the x dependence of integral dipole field from 10^-3 
    to 10^-4 level in 130 mm.