Kiwi Dipole Mappings

Kiwi Dipole Documents

Cad drawing of kiwi dipole:

File:Hrrl pos wiki dipole 1.pdf File:Hrrl pos wiki dipole 2.pdf File:Hrrl pos wiki dipole 3.pdf File:Hrrl pos wiki dipole 4.pdf File:Hrrl pos wiki dipole 5.pdf

Bending Radius of the kiwi dipole is 318.5 mm, and it bends beam by 45 degree.

The path of the beam in the dipole then [math] S = \rho \times \theta = 318.5 \times \pi/4 = 318.5 \times 3.14159265 / 4 = 250.149315~ mm[/math]

1st Mapping

File:Kiwi Dipole Magnet Mappings.pdf

Tag Number: 079220

Bending magnet that was to be used with LCS (compact magnets) The horizontal and vertical tranlator have a range for 150 mm i.e. 15 cm.

Power on I = 20.4 A

x (mm)	y (mm)	B (kG)
127	0	[math] -6.7 \times 10^{-2} [/math]
127	10	-0.106
127	20	-0.169
127	30	-0.2729
127	40	-0.448
127	50	-0.728
127	60	-0.97
127	70	-1.025
127	80	-1.029
127	90	-1.03
127	100	-1.029
127	110	-1.028
127	120	-1.028
127	130	-1.028
127	140	-1.028
127	150	-1.028
y = 150 mm is roughly center of the bend.
127	150	-1.028
127	140	-1.031
127	130	-1.0342
127	120	-1.036
127	110	-1.036
127	100	-1.036
127	90	-1.036
127	80	-1.0355
127	70	-1.03
127	60	-0.977
127	50	-0.7354
127	40	-0.4527
127	30	-0.275
127	20	-0.17
127	10	-0.1066
127	0	-0.0673
Again
x (mm)	y (mm)	B (kG)
127	0	[math] -0.0672 [/math]
127	10	-0.1062
127	20	-0.1699
127	30	-0.2738
127	40	-0.449
127	50	-0.7283	edge of poles 100 px
127	60	-0.9712
127	70	-1.0253
127	80	-1.03
127	90	-1.03
127	100	-1.0298
127	110	-1.028
127	120	-1.0285
127	130	-1.0286
127	140	-1.0282
127	150	-1.0278

     y (mm)      B (kG)   error B (kG)
    0.00000    -0.06717     0.00015
   10.00000    -0.10627     0.00031
   20.00000    -0.16963     0.00055
   30.00000    -0.27390     0.00105
   40.00000    -0.44990     0.00248
   50.00000    -0.73057     0.00419
   60.00000    -0.97273     0.00374
   70.00000    -1.02677     0.00280
   80.00000    -1.03150     0.00350
   90.00000    -1.03200     0.00346
  100.00000    -1.03160     0.00383
  110.00000    -1.03067     0.00462
  120.00000    -1.03083     0.00448
  130.00000    -1.03027     0.00342
  140.00000    -1.02907     0.00168
  150.00000    -1.02793     0.00012

X at 127, Y at 150

x (mm)	y (mm)	I	B (kG)
127	150	20.1	-1.0279
127	150	30.1	-1.53
127	150	25.1	-1.2916
127	150	20.1	-1.0359
127	150	15	-0.781
127	150	10	-0.534
127	150	5	-0.277
127	150	0	-0.017
Again
127	150	0	-0.01726
127	150	5	-0.266
127	150	10	-0.518
127	150	15	-0.7713
127	150	20	-1.02
127	150	25	-1.272
127	150	30	-1.52

  I (Amps)    B (kG)    error B (kG)
   0.00000   -0.01713    0.00018
   5.00000   -0.27150    0.00778
  10.00000   -0.52600    0.01131
  15.00000   -0.77615    0.00686
  20.00000   -1.02795    0.01124
  25.00000   -1.28180    0.01386
  30.00000   -1.52500    0.00707

Vertical Scan

Power on I = 20 A

Gap width [math] \approx [/math]5cm.

x (mm)	y (mm)	B (kG)
135 (lower edge)	150	-1.0369
132	150	-1.0379
129	150	-1.0382
126	150	-1.0384
123	150	-1.0385
120	150	-1.0386
118	150	-1.0387
116	150	-1.0388
114	150	-1.039

   x (mm)      y(mm)       B(kG)
  135.0000   150.0000    -1.0369
  132.0000   150.0000    -1.0379
  129.0000   150.0000    -1.0382
  126.0000   150.0000    -1.0384
  123.0000   150.0000    -1.0385
  120.0000   150.0000    -1.0386
  118.0000   150.0000    -1.0387
  116.0000   150.0000    -1.0388
  114.0000   150.0000    -1.0390

Horizontal Scan

go for X = 124.5, y = 150 (dipole center), I = 20 A.

x (mm)	y (mm)	I (A)	B (kG)
124.5	150	20	-1.0388
124.5	140	20	-1.04
124.5	130	20	-1.04
124.5	120	20	-1.0409
124.5	110	20	-1.041
124.5	100	20	-1.0411
124.5	90	20	-1.041
124.5	80	20	-1.0408
124.5	70	20	-1.355	This data is problematic.
124.5	60	20	-0.9799
124.5	50	20	-0.74
124.5	40	20	-0.457
124.5	30	20	-0.2776
124.5	20	20	-0.1718
124.5	0	20	-0.0684

Figure according to the data above. There is problem when y = 70 mm.

   x (mm)      y  (mm)       I (A)      B  (kG)   
  124.50000   150.00000    20.00000    -1.03880
  124.50000   140.00000    20.00000    -1.04000
  124.50000   130.00000    20.00000    -1.04000
  124.50000   120.00000    20.00000    -1.04090
  124.50000   110.00000    20.00000    -1.04100
  124.50000   100.00000    20.00000    -1.04110
  124.50000    90.00000    20.00000    -1.04100
  124.50000    80.00000    20.00000    -1.04080
  124.50000    70.00000    20.00000    -1.03550
  124.50000    60.00000    20.00000    -0.97990
  124.50000    50.00000    20.00000    -0.74000
  124.50000    40.00000    20.00000    -0.45700
  124.50000    30.00000    20.00000    -0.27760
  124.50000    20.00000    20.00000    -0.17180
  124.50000     0.00000    20.00000    -0.06840

Figure according to the data above. The problem when y = 70 mm is changed to -1.0355

Power on X = 124.5, Y = 150

x (mm)	y (mm)	I (A)	B (kG)
124.5	150	0	-0.0123
124.5	150	5	-0.2676
124.5	150	10	-0.516
124.5	150	15	-0.771
124.5	150	20	-1.028
124.5	150	25	-1.2735
124.5	150	30	-1.5217
124.5	150	30	-1.5218
124.5	150	25	-1.287
124.5	150	20	-1.037
124.5	150	15	-0.7855
124.5	150	10	-0.5313
124.5	150	5	-0.2747
124.5	150	0	-0.0164

    I (A)      B(kG)    error B(kG) 
  30.00000   -1.52175    0.00007
  25.00000   -1.28025    0.00955
  20.00000   -1.03250    0.00636
  15.00000   -0.77825    0.01025
  10.00000   -0.52365    0.01082
   5.00000   -0.27115    0.00502
   0.00000   -0.01435    0.00290

Tag Number: 42125

x (mm)	y (mm)	I (A)	B (kG)
0	0	Power off	[math]-3 \times 10^{-4}[/math]
0	0	20	[math]-6 \times 10^{-3}[/math]
111.75	0	20	[math] 0.0405[/math]

x (mm)	y (mm)	I (A)	B (kG)
111.75	10	20	0.0637
111.75	20	20	0.102
111.75	30	20	0.1675
111.75	40	20	0.2774
111.75	50	20	0.4654
111.75	60	20	0.756
111.75	70	20	0.9898
111.75	80	20	1.0312
111.75	90	20	1.0358
111.75	100	20	1.0362
111.75	110	20	1.0363
111.75	120	20	1.0363
111.75	130	20	1.0362
111.75	140	20	1.036
111.75	150	20	1.036
111.75	0	20	0.0402
111.75	10	20	0.0635
111.75	20	20	0.1022
111.75	30	20	0.1674
111.75	40	20	0.2773
111.75	50	20	0.4652
111.75	60	20	0.755
111.75	70	20	0.9828
111.75	80	20	1.0312
111.75	90	20	1.0358
111.75	100	20	1.0362
111.75	110	20	1.0362
111.75	120	20	1.03625
111.75	130	20	1.0362
111.75	140	20	1.036
111.75	150	20	1.036

x (mm)	y (mm)	I (A)	B (kG)
111.75	150	0	0.0076
111.75	150	5	0.263
111.75	150	10	0.52
111.75	150	15	0.7754
111.75	150	20	1.0313
111.75	150	25	1.2869
111.75	150	30	1.5389
111.75	150	30	1.5389
111.75	150	25	1.3
111.75	150	20	1.0484
111.75	150	15	0.7945
111.75	150	10	0.534
111.75	150	5	0.276
111.75	150	0	0.01386

x (mm)	y (mm)	I (A)	B (kG)
123.25	150	20	1.0339
120.25.25	150	20	1.0338
117.25	150	20	1.034
114.25	150	20	1.034
111.25	150	20	1.0342
111.25	150	20	1.0343
108.25	150	20	1.0342
105.25	150	20	1.0343
102.25	150	20	1.0344
99.25	150	20	1.03435

x (mm)	y (mm)	I (A)	B (kG)
111.25	150	20	1.0339
111.25	0	20	0.04
111.25	10	20	0.0633
111.25	20	20	0.102
111.25	30	20	0.1671
111.25	40	20	0.2767
111.25	50	20	0.4643
111.25	60	20	0.7544
111.25	70	20	0.9818
111.25	80	20	1.0295
111.25	90	20	1.034
111.25	100	20	1.0344
111.25	110	20	1.0345
111.25	120	20	1.0345
111.25	130	20	1.0345
111.25	140	20	4.0343
111.25	150	20	10.342
111.25	0	20	0.04
111.25	10	20	0.0632
111.25	20	20	0.1018
111.25	30	20	0.1669
111.25	40	20	0.2767
111.25	50	20	0.4639
111.25	60	20	0.754
111.25	70	20	0.9816
111.25	80	20	1.0294
111.25	90	20	1.034
111.25	100	20	1.0344
111.25	110	20	1.0344
111.25	120	20	1.0344
111.25	130	20	1.0343
111.25	140	20	4.0342
111.25	150	20	10.342

x (mm)	y (mm)	I (A)	B (kG)
111.25	43 mm	0	[math]3.6 \times 10^{-3}[/math]
111.25	43 mm	5	0.0822
111.25	43 mm	10	0.1615
111.25	43 mm	15	0.242
111.25	43 mm	20	0.3227
111.25	43 mm	25	0.4014
111.25	43 mm	30	0.4793
111.25	43 mm	0	[math]2.8 \times 10^{-3}[/math]
111.25	43 mm	5	0.08
111.25	43 mm	10	0.1613
111.25	43 mm	15	0.242
111.25	43 mm	20	0.3215
111.25	43 mm	25	0.4
111.25	43 mm	30	0.4783

2nd Mapping

Bending radius of dipole is 319 mm. The bending radius in measurement is r = 280 mm.

Mapping of the dipole was divided into 3 parts according to the path of the ideal particle. This trajectory of particle with ideal energy should go through a fringe field (approximately straight line) and dipole field (rotation of near 45 degree with dipole bending radius of 319 mm), and another fringe field (approximately straight line). We called them A2 (entering fringe field), Rotation and A1 (Exiting fringe field).

A2

       I= - 6.5 A	I= - 15.25 A	I= - 24 A	I= - 33 A		
Z(mm) 	B (G)	        B (G)	         B (G)	         B (G)		
81.50	-55.2500	-128.3700	200.6800	-273.6085		
82.50	-52.6000	-122.1600	-191.0000	-260.3194		
83.50	-50.0700	-116.2700	-181.7600	-247.6903		
84.50	-47.6700	-110.6800	-173.0100	-235.7135		
85.50	-45.4000	-105.3700	-164.6920			
87.50	-41.1800	-95.5400	-149.2710	-203.2767		
89.50	-37.3800	-86.6600	-135.3760	-184.2830		
91.50	-33.9600	-78.6600	-122.8530	-167.1615		
93.50	-30.8600	-71.4600	-111.5640	-151.7285		
95.50	-28.0800	-64.9700	-101.3870	-137.8432		
98.00	-25.1200	-57.7600	-90.1060	-122.3860		
100.00	-22.8900	-52.6200	-82.0500	-111.3860		
103.00	-19.9800	-45.8400	-71.4230	-96.9286		
105.00	-18.2600	-41.8600	-65.1930	-88.3740		
110.00	-14.6600	-33.5200	-52.1380	-70.5650		
115.00	-11.8500	-27.1700	-41.9210			
120.00	-9.6500 	-22.0600	-34.0260	-45.8887		
130.00	-6.5400 	-14.8400	-22.9290	-30.7577		
140.00	-4.5600	        -10.2500	-15.7670	-21.0309		
150.00	-3.2600	        -7.2600	        -11.0980	-14.7070		

A1

       I= - 6.505 A	I= - 15.25 A		I= - 24 A	        I= - 33 A
Z(mm) 	B (G)	         B (G)		        Z(mm) 	B (G)	        B (G)
137.50	-69.4460	-160.7070		137.50	-252.3900	-342.9800
136.50	-66.4320	-153.7000		136.50	-241.2700	-328.0530
135.50	-63.5170	-146.9330		135.50	-230.6500	-313.6100
134.50	-60.7320	-140.4650		134.50	-220.5150	-299.7060
133.50	-58.0720	-134.2840		133.50	-210.8160	-286.0330
132.50		        -128.3450		133.00	-206.0800	-279.6640
132.00	-54.3030	-125.5330		132.00	-197.0500	-267.3660
131.00	-51.9270	-120.0150		131.00	-188.4130	-255.5850
130.00	-49.6620	-114.7500		130.00	-180.1390	-244.2880
128.00	-45.4210	-104.9110		128.00	-164.6400	-223.1900
126.00	-41.5550	-95.9450		126.00	-150.5300	-204.0060
124.00	-38.0300	-87.7600		124.00	-137.6900	-186.4830
122.00	-34.8100	-80.2900		122.00	-125.9700	-170.5440
120.00	-31.8780	-73.4860		120.00	-115.2900	-156.0020
118.00	-29.2060	-67.2900		118.00	-105.5500	-142.7470
116.00	-26.7690	-61.6400		116.00	-96.6900	-130.6987
114.00	-24.6392	-56.5000		114.00	-88.6240	-119.7218
112.00	-22.6060	-51.5000		112.00	-81.2700	-109.7030
110.00	-20.7550	-47.5500		110.00	-74.5700	-100.6170
105.00	-7.6170	        -38.4870		105.00	-60.3500	-81.2724
100.00	-13.6900	-31.3000		100.00	-49.0700	-65.9450
95.00	-11.2000	-25.6840		95.00	-40.1000	-53.7603
90.00	-9.2140	        -21.1000		90.00	-32.9500	-44.0770
85.00	-7.6170	        -17.4250		85.00	-27.3370	-36.3176
80.00	-6.3283	        -14.4650		80.00	-22.6950	-30.0751
70.00	-4.4300	        -10.1160		70.00	-15.8800	-20.9880
60.00	-3.1525   	-7.2000 		60.00	-11.3140	-14.8445
50.00	-2.2720 	-5.2060 		50.00	-8.1950 	-10.6612
40.00	-1.6530 	-3.8125 		40.00	-6.0240 	-7.7550
30.00	-1.2085 	-2.8200 		30.00	-4.4750 	-5.6980
20.00	-1.8830 	-2.1020 	 	20.00	-3.3570 	-4.2240
10.00	-0.6410 	-1.5740 		10.00	-2.3800 	-3.1460
0.00	-0.4590 	-1.1800 		0.00	-1.9360 	-0.3540

Rotation

 I= - 6.505 A			I= - 15.25 A			I= - 24 A			I= - 33 A	
 Theta    B 		        Theta    B		        Theta    B		        Theta    B
(degree) (G)                   (degree) (G)                    (degree) (G)                    (degree) (G)
0.00	0.0288		        0.00	-0.1150		        0.00	-0.1540		        0.00	-0.2640
55.00	-61.9200		55.00	-148.7800		55.00	-230.0300		55.00	-316.2940
55.50	-68.2600		55.25	-155.1740		55.50	-263.5000		55.25	-332.5850
55.60	-69.6200		55.40	-159.6800		55.40	-248.7940		55.30	-335.9620
55.55	-69.9400		55.45	-161.2270		55.60	-258.7300		55.40	-342.2980
56.00	-75.2000		55.50	-162.7950					        55.50	-348.8980
57.00	-91.6000		56.00	-179.4560		56.00	-279.6800		55.60	-355.9930
58.00	-112.0400		57.00	-218.6250		57.00	-341.2300		56.00	384.8570
59.00	-137.5000		58.00	-267.4440		58.00	-417.3400		57.00	-468.7430
60.00	-169.3500		59.00	-328.7500		59.00	-512.4800		58.00	-573.3970
61.00	-208.8200		60.00	-404.8500		60.00	-631.2200		59.00	-704.0110
62.00	-254.4200		61.00	-498.4100		61.00	-777.3000		60.00	-867.4160
63.00	-298.9400		62.00	605.4600		62.00	-944.5000		61.00	-1068.4410
64.00	-327.8700		63.00	-706.3700		63.00	-1102.0000		62.00	1297.4500
65.00	-340.4800		64.00	-771.0200		64.00	-1203.0000		63.00	-1514.5900
66.00	-345.0700		65.00	-299.3600		65.00	-1247.3000		64.00	1653.1900
67.00	-346.7200		66.00	-809.8500		66.00	-1263.7700		65.00	1714.0200
68.00	-347.3000		67.00	-813.6000		67.00	-1269.6000		66.00	1736.4600
69.00	-347.5400		68.00	-814.9900		68.00	-1271.8000		67.00	1744.4900
70.00	-347.6100		69.00	-815.4800		69.00	-1272.6800		68.00	1747.3940
72.00	-347.7000		70.00	-815.6800		70.00	-1273.0000		69.00	-1748.6040
74.00	-347.7800		72.00	-815.8400		72.00	-1273.3000		70.00	1749.0000
76.00	-347.9000		74.00	-816.0100		74.00	-1273.6000		72.00	1749.3300
78.00	-347.9200		76.00	-816.2300		76.00	-1273.9500		74.00	-1749.7370
80.00	-348.0000		78.00	-816.4200		78.00	-1274.2700		76.00	-1750.1000
82.00	-348.0200		80.00	-816.5400		80.00	-1274.5000		78.00	-1750.4300
84.00	0.0500		        82.00	-816.6400		82.00	-1274.7000		80.00	-1750.6940
86.00	-348.0700		84.00	-816.7200		84.00	-1274.8700		82.00	-1751.0460
88.00	-348.1000		86.00	-816.8700		86.00	-1275.1000		84.00	-1751.2660
90.00	-348.1200		88.00	-817.0000		88.00	-1275.3500		86.00	-1751.5740
92.00	-348.1200		90.00	-817.0800		90.00	-1275.5000		88.00	-1751.8930
94.00	-348.1300		92.00	-817.1700		92.00	-1275.6000		90.00	-1752.0800
96.00	-348.1200		94.00	-817.2500		94.00	-1275.7700		92.00	-1752.2120
98.00	-348.1000		96.00	-817.3100		96.00	-1275.9000		94.00	-1752.3660
100.00	-348.0700		98.00	-817.3200		98.00	-1275.8500		96.00	-1752.4760
102.00	-348.0400		100.00	-817.2600		100.00	-1275.7600		98.00	-1752.4210
103.00	-348.0100		102.00	-817.2100		102.00	-1275.6000		100.00	-1752.2230
104.00	-347.9200		103.00	-817.1200		103.00	-1275.4500		102.00	-1752.0030
105.00	-347.6700		104.00	-816.9100		104.00	-1275.1100		103.00	-1751.8050
106.00	-346.8200		105.00	-816.2700		105.00			        104.00	-1751.3320
107.00	-343.8600		106.00	-813.9200		106.00	-1270.3000		105.00	-1749.8250
108.00	-334.4600		107.00	-805.8400		107.00	-1257.6000		106.00	-1744.7540
109.00	-303.6700		108.00	-778.4700		108.00	-1214.5200		107.00	-1727.3300
109.50	-280.2300		109.00	-704.9500		109.00	-1099.7000		108.00	-1668.2600
110.00	-253.5100		109.50	-648.9400		109.50	-1012.5200		108.50	1604.0420
110.50	-226.2950		110.00	-587.0300		110.00	-915.9200		109.00	-1510.1900
111.00	-201.0330		110.50	-524.0800		110.50	-817.5300		109.50	1389.5200
112.00	-156.6420		111.00	-465.1000		111.00	-725.0000		110.00	-1256.9700
113.00	-122.1500		112.00	-362.9700		112.00	-565.5800		110.50	-1122.2200
113.50	-108.0300		113.00	-283.0300		113.00	-440.9100		111.00	-996.0170
114.00	-95.7700                 								112.00	-777.0400
115.00	-75.4300		114.00	-221.4100		114.00	-345.2400		113.00	-605.7040
116.00	-59.7560		115.00	-174.4670		115.00	-272.1800		113.50	-535.4470
116.25	-56.3900		116.00	-138.0970		116.00	-214.8900		114.00	-474.2650
116.30	-55.7380		116.25	-130.2390		116.25	-202.6770		115.00	-373.6700
116.40	-54.4500		116.30	-128.6700		116.30	-200.3710		116.25	-295.8560
116.35	-55.0800		116.40	-125.6880		116.40	-195.7000		116.30	-275.3740
116.33	-55.3180		116.50	-122.7610		116.50	-191.1400		116.35	-272.1400
180.00	-0.1100 	 	180.00	-0.1970 		117.00	-170.1670		116.40	-268.9280
                                                                180.00	-0.1900 		116.50	-262.6151
                                                                                                116.60	-256.8720
                                                                                                117.00	-233.8292
                                                                                                180.00	-0.2970

Mapping Origin

File:Hrrl wiki dipole map Origin File.txt

Mapping data and are under the curve

-6.5 A

Mapping at -6.5 Amp.

S	B
mm	G
Beam	Magnetic 
Path   Field
0	-5.996
5	-7.024
10	-8.265
15	-9.766
20	-11.596
25	-13.836
30	-16.596
35	-20.011
40	-24.25
45	-29.55
50	-35.96
55	-44.25
60	-54.67
65	-67.776
70	-84.225
75	-104.806
80	-130.495
85	-162.485
90	-202.426
92	-221.08
94	-241.527
96	-263.96
98	-288.57
100	-315.31
102	-344.89
104	-377.23
105.11	-395.22
107.9	-447.35
110.68	-505.17
113.46	-576.45
116.24	-629.02
119.02	-686.3
121.81	-733.05
124.59	-766.68
127.37	-788.63
132.94	-809.26
138.5	-815.77
144.07	-817.76
149.63	-818.35
155.2	-818.59
166.33	-818.79
177.46	-819.04
188.58	-819.25
199.71	-819.45
210.84	-819.59
221.97	-819.72
233.1	-819.86
244.23	-820
255.36	-820.16
266.49	-820.3
277.62	-820.4
288.75	-820.43
294.32	-820.4
305.44	-820.38
311.01	-820.24
316.57	-819.74
322.14	-817.73
324.92	-815.06
327.7	-809.82
330.49	-799.64
333.27	-780.86
336.05	-749.13
338.83	-700.97
341.62	-639.14
344.4	-570.24
347.18	-500.24
349.96	-435.41
352.75	-377.2
355.53	-326.14
356.53	-305.79
358.53	-275.51
360.53	-248.38
362.53	-224.38
365.53	-192.56
368.53	-165.48
371.53	-142.4
372.53	-135.47
377.53	-105.75
382.53	-82.85
387.53	-65.196
392.53	-51.56
397.53	-41.05
402.53	-32.897
412.53	-21.705
422.53	-14.625
447.53	-6.12
472.53	-2.94

Area under the curve

[4/18/2012 01:47 "" (2456035)]
integ1
 Input
   iy = [Book1]6A!(A"S",B"B")
   type = 0 (math:Mathematical Area)
   plot = 0
 Output
   oy = [Book1]6A!(,C"Integrated Y1")
   x1 = 0
   x2 = 472.53
   i1 = 1
   i2 = 85
   area = -90700.3274
   y0 = -353.05
   x0 = 272.06
   dx = 245.38386115956

-15.25 A

Mapping at -15.25 Amp.

S	B
mm	G
Beam	Magnetic 
Path   Field
0	-5.996
5	-7.024
10	-8.265
15	-9.766
20	-11.596
25	-13.836
30	-16.596
35	-20.011
40	-24.25
45	-29.55
50	-35.96
55	-44.25
60	-54.67
65	-67.776
70	-84.225
75	-104.806
80	-130.495
85	-162.485
90	-202.426
92	-221.08
94	-241.527
96	-263.96
98	-288.57
100	-315.31
102	-344.89
104	-377.23
105.11	-395.22
107.9	-447.35
110.68	-505.17
113.46	-576.45
116.24	-629.02
119.02	-686.3
121.81	-733.05
124.59	-766.68
127.37	-788.63
132.94	-809.26
138.5	-815.77
144.07	-817.76
149.63	-818.35
155.2	-818.59
166.33	-818.79
177.46	-819.04
188.58	-819.25
199.71	-819.45
210.84	-819.59
221.97	-819.72
233.1	-819.86
244.23	-820
255.36	-820.16
266.49	-820.3
277.62	-820.4
288.75	-820.43
294.32	-820.4
305.44	-820.38
311.01	-820.24
316.57	-819.74
322.14	-817.73
324.92	-815.06
327.7	-809.82
330.49	-799.64
333.27	-780.86
336.05	-749.13
338.83	-700.97
341.62	-639.14
344.4	-570.24
347.18	-500.24
349.96	-435.41
352.75	-377.2
355.53	-326.14
356.53	-305.79
358.53	-275.51
360.53	-248.38
362.53	-224.38
365.53	-192.56
368.53	-165.48
371.53	-142.4
372.53	-135.47
377.53	-105.75
382.53	-82.85
387.53	-65.196
392.53	-51.56
397.53	-41.05
402.53	-32.897
412.53	-21.705
422.53	-14.625
447.53	-6.12
472.53	-2.94

Area under the curve

[4/18/2012 02:17 "" (2456035)]
integ1
 Input
   iy = [Book1]15A!(A"S",B"B")
   type = 0 (math:Mathematical Area)
   plot = 0
 Output
   oy = [Book1]15A!(,C"Integrated Y1")
   x1 = 0
   x2 = 472.53
   i1 = 1
   i2 = 87
   area = -210413.9633
   y0 = -820.43
   x0 = 288.75
   dx = 245.25506096565

24 A

Mapping at - 24 A Amp.

S	B
mm	G
Beam	Magnetic 
Path   Field
0	-9.243
5	-10.843
10	-12.773
15	-15.12
20	-17.98
25	-21.488
30	-25.808
35	-30.97
40	-37.575
45	-45.83
50	-56.175
55	-69.179
60	-85.536
65	-106.117
70	-131.394
75	-164.266
80	-204.61
85	-254.866
90	-317.34
92	-346.6
94	-378.67
96	-413.85
98	-452.39
100	-494.75
102	-541.15
104	-591.94
105.11	-615.64
107.9	-696.51
110.68	-787.1
113.46	-884.2
116.24	-979.92
119.02	-1069.3
121.81	-1142.4
124.59	-1195
127.37	-1229.2
130.15	-1249.7
132.94	-1261.3
138.5	-1271.5
144.07	-1274.7
149.63	-1275.7
155.2	-1276.2
166.33	-1276.7
177.46	-1277
188.58	-1277.5
199.71	-1277.9
210.84	-1278.2
221.97	-1278.4
233.1	-1278.7
244.23	-1279
255.36	-1279.2
266.49	-1279.44
277.62	-1279.56
288.75	-1279.52
294.32	-1279.46
299.88	-1279.4
305.44	-1279.26
311.01	-1279
316.57	-1278.17
322.14	-1275
324.92	-1270.8
327.7	-1262.6
330.49	-1246.67
333.27	-1217.4
336.05	-1167.8
338.83	-1092.5
341.62	-996.14
344.4	-888.66
347.18	-779.86
349.96	-679.2
352.75	-588.1
355.53	-508.2
356.53	-481.38
358.53	-433.77
360.53	-391.15
362.53	-353
365.53	-302.89
368.53	-260.44
371.53	-224.09
372.53	-213.18
377.53	-166.37
382.53	-130.298
387.53	-102.48
392.53	-81.009
397.53	-64.45
402.53	-51.6
412.53	-33.78
422.53	-22.83
447.53	-9.45
472.53	-4.46

Area under the curve

[4/18/2012 02:22 "" (2456035)]
integ1
 Input
   iy = [Book1]24A!(A"S",B"B")
   type = 0 (math:Mathematical Area)
   plot = 0
 Output
   oy = [Book1]24A!(,C"Integrated Y1")
   x1 = 0
   x2 = 472.53
   i1 = 1
   i2 = 89
   area = -328194.84795
   y0 = -1279.56
   x0 = 277.62
   dx = 245.22443902201

33 A

Mapping at - 33 Amp.

S	B
mm	G
Beam	Magnetic 
Path   Field
0	-11.425
5	-13.417
10	-15.828
15	-18.25
20	-22.315
25	-26.683
30	-31.873
35	-38.504
40	-46.74
45	-57.044
50	-69.95
55	-86.175
60	-106.593
65	-132.263
70	-164.517
75	-204.863
80	-255.216
85	-317.7
90	-395.93
92	-432.4
94	-472.48
96	-516.44
98	-564.64
100	-617.51
102	-675.33
104	-738.69
105.11	-767.57
107.9	-868.32
110.68	-980.56
113.46	-1101.2
116.24	-1220.8
119.02	-1331.6
121.81	-1422.5
124.59	-1487.8
127.37	-1530.3
130.15	-1558.4
132.94	-1570.3
138.5	-1582.9
144.07	-1586.9
149.63	-1588.2
155.2	-1588.74
166.33	-1589.3
177.46	-1589.8
188.58	-1590.37
199.71	-1590.73
210.84	-1591.05
221.97	-1591.4
233.1	-1591.8
244.23	-1592.07
255.36	-1592.3
266.49	-1592.4
277.62	-1592.7
288.75	-1592.7
294.32	-1592.6
299.88	-1592.46
305.44	-1592.3
311.01	-1592
316.57	-1590.9
322.14	-1586.97
324.92	-1581.7
327.7	-1571.5
330.49	-1551.8
333.27	-1515.25
336.05	-1453.6
338.83	-1360
341.62	-1239.46
344.4	-1105.5
347.18	-969.8
349.96	-844.62
352.75	-732.05
355.53	-632.51
356.53	-597.3
358.53	-538.2
360.53	-485.2
362.53	-437.7
365.53	-375.37
368.53	-322.4
371.53	-277.28
372.53	-263.9
377.53	-205.84
382.53	-161.1
387.53	-126.58
392.53	-99.94
397.53	-79.38
402.53	-63.56
412.53	-41.35
422.53	-27.64
447.53	-11.3
472.53	-5.193

Area under the curve

[4/18/2012 02:23 "" (2456035)]
integ1
 Input
   iy = [Book1]30A!(A"S",B"B")
   type = 0 (math:Mathematical Area)
   plot = 0
 Output
   oy = [Book1]30A!(,C"Integrated Y1")
   x1 = 0
   x2 = 472.53
   i1 = 1
   i2 = 89
   area = -408481.827
   y0 = -1592.7
   x0 = 277.62
   dx = 245.24936698806

Effective B-Field

Effective B-field = (Area Under the Curve) / (Beam path in dipole)

Scan Current	Area Under the Curve (G*mm)	Beam path in dipole (mm)	Effective B-field (G)
-6.50A	-90700.3274	250.149315	-362.584752
-15.25A	-210413.9633	250.149315	-841.153466
-24A	-328194.84795	250.149315	-1 311.99579
-33 A	-408481.827	250.149315	-1 632.95201

Coil current vs Electron Beam Energy

Magnet (or momentum) rigidity: [math] p = qB\rho [/math]

p is momentum of the particle. q is the charge of the particle. [math] \rho [/math] is the bending radius of the dipole. B is magnetic filed strength.

For an electron

Unit Conversion

[math] p [kg*m/s]= e*B*\rho [/math]

[math] p / (5.36704629 \times 10^{-19}) [GeV/C]= e*B*\rho [/math]

[math] p [GeV/C]= 0.299792458*B*\rho [/math]

1 Gauss is [math] 10^{-4} [/math] Tesla

Coil Current (Amp)	dipole (m)	Effective B-field (T)	P [MeV/c]
-6.50	0.3185	-0.0362584752	3.46210054
-15.25	0.3185	-0.0841153466	8.03166116
-24	0.3185	-0.131199579	12.5274472
-33	0.3185	-0.163295201	15.5920623

[math] E^2= P^2 + m_e^2[/math]

Coil Current (Amp)	P [MeV/c]	En using field map (MeV)	Corresponding En from table (MeV)
-6.50	3.46210054	3.49960871	2.403
-15.25	8.03166116	8.04790047	(6.129+6.350)/2
-24	12.5274472	12.5378648	10.095
-33	15.5920623	15.6004336	14.064

Coil           En 
Current 
(Amp)          (MeV)
6.50 	 	3.49960871
15.25 	 	8.04790047
24 	 	12.5378648
33 	 	15.6004336

Fitting for En vs I

matlab Poly fit method

S =

       R: [3x3 double]
      df: 1
   normr: 0.3244

table =

   6.5000    3.4996    3.4261    0.0735
  15.2500    8.0479    8.2673   -0.2194
  24.0000   12.5379   12.3216    0.2163
  33.0000   15.6004   15.6708   -0.0704

MATLAB Polyfit Fit for En vs I: En = 0.66503 + 0.66503I + -0.00514I^2

Matrix Inversion Method

Matrix Inversion Method Fit for En vs I: En = (-0.67944+-2.18159) + (0.66503+-0.25773)I + (-0.00514+-0.00639)I^2

Estimation for En vs I

   Dipole   En Predictions of 
   Coil     Matrix    MATLAB
   Current  Inversion Polyfit
   (Amps)   (MeV)     (MeV)
   0.1000   -0.6130   -0.6130
   0.2000   -0.5466   -0.5466
   0.3000   -0.4804   -0.4804
   0.4000   -0.4143   -0.4143
   0.5000   -0.3482   -0.3482
   0.6000   -0.2823   -0.2823
   0.7000   -0.2164   -0.2164
   0.8000   -0.1507   -0.1507
   0.9000   -0.0851   -0.0851
   1.0000   -0.0196   -0.0196
   1.1000    0.0459    0.0459
   1.2000    0.1112    0.1112
   1.3000    0.1764    0.1764
   1.4000    0.2415    0.2415
   1.5000    0.3065    0.3065
   1.6000    0.3714    0.3714
   1.7000    0.4363    0.4363
   1.8000    0.5010    0.5010
   1.9000    0.5656    0.5656
   2.0000    0.6301    0.6301
   2.1000    0.6945    0.6945
   2.2000    0.7587    0.7587
   2.3000    0.8229    0.8229
   2.4000    0.8870    0.8870
   2.5000    0.9510    0.9510
   2.6000    1.0149    1.0149
   2.7000    1.0787    1.0787
   2.8000    1.1424    1.1424
   2.9000    1.2059    1.2059
   3.0000    1.2694    1.2694
   3.1000    1.3328    1.3328
   3.2000    1.3960    1.3960
   3.3000    1.4592    1.4592
   3.4000    1.5223    1.5223
   3.5000    1.5852    1.5852
   3.6000    1.6481    1.6481
   3.7000    1.7108    1.7108
   3.8000    1.7735    1.7735
   3.9000    1.8360    1.8360
   4.0000    1.8985    1.8985
   4.1000    1.9608    1.9608
   4.2000    2.0230    2.0230
   4.3000    2.0852    2.0852
   4.4000    2.1472    2.1472
   4.5000    2.2091    2.2091
   4.6000    2.2710    2.2710
   4.7000    2.3327    2.3327
   4.8000    2.3943    2.3943
   4.9000    2.4558    2.4558
   5.0000    2.5172    2.5172
   5.1000    2.5786    2.5786
   5.2000    2.6398    2.6398
   5.3000    2.7009    2.7009
   5.4000    2.7619    2.7619
   5.5000    2.8228    2.8228
   5.6000    2.8836    2.8836
   5.7000    2.9443    2.9443
   5.8000    3.0049    3.0049
   5.9000    3.0654    3.0654
   6.0000    3.1257    3.1257
   6.1000    3.1860    3.1860
   6.2000    3.2462    3.2462
   6.3000    3.3063    3.3063
   6.4000    3.3663    3.3663
   6.5000    3.4261    3.4261
   6.6000    3.4859    3.4859
   6.7000    3.5456    3.5456
   6.8000    3.6052    3.6052
   6.9000    3.6646    3.6646
   7.0000    3.7240    3.7240
   7.1000    3.7832    3.7832
   7.2000    3.8424    3.8424
   7.3000    3.9014    3.9014
   7.4000    3.9604    3.9604
   7.5000    4.0192    4.0192
   7.6000    4.0780    4.0780
   7.7000    4.1366    4.1366
   7.8000    4.1952    4.1952
   7.9000    4.2536    4.2536
   8.0000    4.3119    4.3119
   8.1000    4.3702    4.3702
   8.2000    4.4283    4.4283
   8.3000    4.4863    4.4863
   8.4000    4.5442    4.5442
   8.5000    4.6021    4.6021
   8.6000    4.6598    4.6598
   8.7000    4.7174    4.7174
   8.8000    4.7749    4.7749
   8.9000    4.8323    4.8323
   9.0000    4.8896    4.8896
   9.1000    4.9468    4.9468
   9.2000    5.0039    5.0039
   9.3000    5.0609    5.0609
   9.4000    5.1178    5.1178
   9.5000    5.1746    5.1746
   9.6000    5.2313    5.2313
   9.7000    5.2879    5.2879
   9.8000    5.3443    5.3443
   9.9000    5.4007    5.4007
  10.0000    5.4570    5.4570
  10.1000    5.5132    5.5132
  10.2000    5.5693    5.5693
  10.3000    5.6252    5.6252
  10.4000    5.6811    5.6811
  10.5000    5.7369    5.7369
  10.6000    5.7925    5.7925
  10.7000    5.8481    5.8481
  10.8000    5.9035    5.9035
  10.9000    5.9589    5.9589
  11.0000    6.0141    6.0141
  11.1000    6.0693    6.0693
  11.2000    6.1243    6.1243
  11.3000    6.1793    6.1793
  11.4000    6.2341    6.2341
  11.5000    6.2888    6.2888
  11.6000    6.3435    6.3435
  11.7000    6.3980    6.3980
  11.8000    6.4524    6.4524
  11.9000    6.5068    6.5068
  12.0000    6.5610    6.5610
  12.1000    6.6151    6.6151
  12.2000    6.6691    6.6691
  12.3000    6.7230    6.7230
  12.4000    6.7768    6.7768
  12.5000    6.8305    6.8305
  12.6000    6.8842    6.8842
  12.7000    6.9377    6.9377
  12.8000    6.9911    6.9911
  12.9000    7.0444    7.0444
  13.0000    7.0975    7.0975
  13.1000    7.1506    7.1506
  13.2000    7.2036    7.2036
  13.3000    7.2565    7.2565
  13.4000    7.3093    7.3093
  13.5000    7.3620    7.3620
  13.6000    7.4146    7.4146
  13.7000    7.4670    7.4670
  13.8000    7.5194    7.5194
  13.9000    7.5717    7.5717
  14.0000    7.6238    7.6238
  14.1000    7.6759    7.6759
  14.2000    7.7279    7.7279
  14.3000    7.7797    7.7797
  14.4000    7.8315    7.8315
  14.5000    7.8831    7.8831
  14.6000    7.9347    7.9347
  14.7000    7.9861    7.9861
  14.8000    8.0375    8.0375
  14.9000    8.0887    8.0887
  15.0000    8.1399    8.1399
  15.1000    8.1909    8.1909
  15.2000    8.2418    8.2418
  15.3000    8.2927    8.2927
  15.4000    8.3434    8.3434
  15.5000    8.3940    8.3940
  15.6000    8.4445    8.4445
  15.7000    8.4950    8.4950
  15.8000    8.5453    8.5453
  15.9000    8.5955    8.5955
  16.0000    8.6456    8.6456
  16.1000    8.6956    8.6956
  16.2000    8.7455    8.7455
  16.3000    8.7953    8.7953
  16.4000    8.8450    8.8450
  16.5000    8.8946    8.8946
  16.6000    8.9441    8.9441
  16.7000    8.9935    8.9935
  16.8000    9.0428    9.0428
  16.9000    9.0920    9.0920
  17.0000    9.1411    9.1411
  17.1000    9.1900    9.1900
  17.2000    9.2389    9.2389
  17.3000    9.2877    9.2877
  17.4000    9.3364    9.3364
  17.5000    9.3849    9.3849
  17.6000    9.4334    9.4334
  17.7000    9.4818    9.4818
  17.8000    9.5300    9.5300
  17.9000    9.5782    9.5782
  18.0000    9.6262    9.6262
  18.1000    9.6742    9.6742
  18.2000    9.7221    9.7221
  18.3000    9.7698    9.7698
  18.4000    9.8174    9.8174
  18.5000    9.8650    9.8650
  18.6000    9.9124    9.9124
  18.7000    9.9598    9.9598
  18.8000   10.0070   10.0070
  18.9000   10.0541   10.0541
  19.0000   10.1012   10.1012
  19.1000   10.1481   10.1481
  19.2000   10.1949   10.1949
  19.3000   10.2416   10.2416
  19.4000   10.2882   10.2882
  19.5000   10.3348   10.3348
  19.6000   10.3812   10.3812
  19.7000   10.4275   10.4275
  19.8000   10.4737   10.4737
  19.9000   10.5198   10.5198
  20.0000   10.5658   10.5658
  20.1000   10.6117   10.6117
  20.2000   10.6575   10.6575
  20.3000   10.7032   10.7032
  20.4000   10.7488   10.7488
  20.5000   10.7943   10.7943
  20.6000   10.8396   10.8396
  20.7000   10.8849   10.8849
  20.8000   10.9301   10.9301
  20.9000   10.9752   10.9752
  21.0000   11.0201   11.0201
  21.1000   11.0650   11.0650
  21.2000   11.1098   11.1098
  21.3000   11.1544   11.1544
  21.4000   11.1990   11.1990
  21.5000   11.2435   11.2435
  21.6000   11.2878   11.2878
  21.7000   11.3321   11.3321
  21.8000   11.3762   11.3762
  21.9000   11.4203   11.4203
  22.0000   11.4642   11.4642
  22.1000   11.5081   11.5081
  22.2000   11.5518   11.5518
  22.3000   11.5954   11.5954
  22.4000   11.6390   11.6390
  22.5000   11.6824   11.6824
  22.6000   11.7257   11.7257
  22.7000   11.7690   11.7690
  22.8000   11.8121   11.8121
  22.9000   11.8551   11.8551
  23.0000   11.8980   11.8980
  23.1000   11.9408   11.9408
  23.2000   11.9836   11.9836
  23.3000   12.0262   12.0262
  23.4000   12.0687   12.0687
  23.5000   12.1111   12.1111
  23.6000   12.1534   12.1534
  23.7000   12.1956   12.1956
  23.8000   12.2377   12.2377
  23.9000   12.2797   12.2797
  24.0000   12.3216   12.3216
  24.1000   12.3633   12.3633
  24.2000   12.4050   12.4050
  24.3000   12.4466   12.4466
  24.4000   12.4881   12.4881
  24.5000   12.5295   12.5295
  24.6000   12.5707   12.5707
  24.7000   12.6119   12.6119
  24.8000   12.6530   12.6530
  24.9000   12.6939   12.6939
  25.0000   12.7348   12.7348
  25.1000   12.7756   12.7756
  25.2000   12.8162   12.8162
  25.3000   12.8568   12.8568
  25.4000   12.8972   12.8972
  25.5000   12.9376   12.9376
  25.6000   12.9778   12.9778
  25.7000   13.0180   13.0180
  25.8000   13.0580   13.0580
  25.9000   13.0979   13.0979
  26.0000   13.1378   13.1378
  26.1000   13.1775   13.1775
  26.2000   13.2171   13.2171
  26.3000   13.2567   13.2567
  26.4000   13.2961   13.2961
  26.5000   13.3354   13.3354
  26.6000   13.3746   13.3746
  26.7000   13.4137   13.4137
  26.8000   13.4528   13.4528
  26.9000   13.4917   13.4917
  27.0000   13.5305   13.5305
  27.1000   13.5692   13.5692
  27.2000   13.6078   13.6078
  27.3000   13.6463   13.6463
  27.4000   13.6847   13.6847
  27.5000   13.7230   13.7230
  27.6000   13.7612   13.7612
  27.7000   13.7993   13.7993
  27.8000   13.8372   13.8372
  27.9000   13.8751   13.8751
  28.0000   13.9129   13.9129
  28.1000   13.9506   13.9506
  28.2000   13.9881   13.9881
  28.3000   14.0256   14.0256
  28.4000   14.0630   14.0630
  28.5000   14.1003   14.1003
  28.6000   14.1374   14.1374
  28.7000   14.1745   14.1745
  28.8000   14.2114   14.2114
  28.9000   14.2483   14.2483
  29.0000   14.2850   14.2850
  29.1000   14.3217   14.3217
  29.2000   14.3582   14.3582
  29.3000   14.3947   14.3947
  29.4000   14.4310   14.4310
  29.5000   14.4673   14.4673
  29.6000   14.5034   14.5034
  29.7000   14.5394   14.5394
  29.8000   14.5754   14.5754
  29.9000   14.6112   14.6112
  30.0000   14.6469   14.6469
  30.1000   14.6825   14.6825
  30.2000   14.7180   14.7180
  30.3000   14.7535   14.7535
  30.4000   14.7888   14.7888
  30.5000   14.8240   14.8240
  30.6000   14.8591   14.8591
  30.7000   14.8941   14.8941
  30.8000   14.9290   14.9290
  30.9000   14.9638   14.9638
  31.0000   14.9985   14.9985
  31.1000   15.0331   15.0331
  31.2000   15.0676   15.0676
  31.3000   15.1020   15.1020
  31.4000   15.1363   15.1363
  31.5000   15.1704   15.1704
  31.6000   15.2045   15.2045
  31.7000   15.2385   15.2385
  31.8000   15.2724   15.2724
  31.9000   15.3061   15.3061
  32.0000   15.3398   15.3398
  32.1000   15.3734   15.3734
  32.2000   15.4068   15.4068
  32.3000   15.4402   15.4402
  32.4000   15.4735   15.4735
  32.5000   15.5066   15.5066
  32.6000   15.5397   15.5397
  32.7000   15.5726   15.5726
  32.8000   15.6055   15.6055
  32.9000   15.6382   15.6382
  33.0000   15.6708   15.6708
  33.1000   15.7034   15.7034
  33.2000   15.7358   15.7358
  33.3000   15.7682   15.7682
  33.4000   15.8004   15.8004
  33.5000   15.8325   15.8325
  33.6000   15.8645   15.8645
  33.7000   15.8965   15.8965
  33.8000   15.9283   15.9283
  33.9000   15.9600   15.9600
  34.0000   15.9916   15.9916
  34.1000   16.0231   16.0231
  34.2000   16.0545   16.0545
  34.3000   16.0858   16.0858
  34.4000   16.1170   16.1170
  34.5000   16.1481   16.1481
  34.6000   16.1791   16.1791
  34.7000   16.2100   16.2100
  34.8000   16.2408   16.2408
  34.9000   16.2715   16.2715
  35.0000   16.3021   16.3021
  35.1000   16.3326   16.3326
  35.2000   16.3630   16.3630
  35.3000   16.3932   16.3932
  35.4000   16.4234   16.4234
  35.5000   16.4535   16.4535
  35.6000   16.4835   16.4835
  35.7000   16.5133   16.5133
  35.8000   16.5431   16.5431
  35.9000   16.5727   16.5727
  36.0000   16.6023   16.6023
  36.1000   16.6318   16.6318
  36.2000   16.6611   16.6611
  36.3000   16.6904   16.6904
  36.4000   16.7195   16.7195
  36.5000   16.7486   16.7486
  36.6000   16.7775   16.7775
  36.7000   16.8063   16.8063
  36.8000   16.8351   16.8351
  36.9000   16.8637   16.8637
  37.0000   16.8922   16.8922
  37.1000   16.9207   16.9207
  37.2000   16.9490   16.9490
  37.3000   16.9772   16.9772
  37.4000   17.0053   17.0053
  37.5000   17.0333   17.0333
  37.6000   17.0613   17.0613
  37.7000   17.0891   17.0891
  37.8000   17.1168   17.1168
  37.9000   17.1444   17.1444
  38.0000   17.1719   17.1719
  38.1000   17.1993   17.1993
  38.2000   17.2266   17.2266
  38.3000   17.2538   17.2538
  38.4000   17.2809   17.2809
  38.5000   17.3079   17.3079
  38.6000   17.3347   17.3347
  38.7000   17.3615   17.3615
  38.8000   17.3882   17.3882
  38.9000   17.4148   17.4148
  39.0000   17.4413   17.4413
  39.1000   17.4676   17.4676
  39.2000   17.4939   17.4939
  39.3000   17.5201   17.5201
  39.4000   17.5461   17.5461
  39.5000   17.5721   17.5721
  39.6000   17.5980   17.5980
  39.7000   17.6237   17.6237
  39.8000   17.6494   17.6494
  39.9000   17.6749   17.6749
  40.0000   17.7004   17.7004

   Dipole   En Predictions of 
   Coil     Matrix    MATLAB
   Current  Inversion Polyfit
   (Amps)   (MeV)     (MeV)
   0.5000   -0.3482
   1.0000   -0.0196
   1.5000    0.3065
   2.0000    0.6301
   2.5000    0.9510
   3.0000    1.2694
   3.5000    1.5852
   4.0000    1.8985
   4.5000    2.2091
   5.0000    2.5172
   5.5000    2.8228
   6.0000    3.1257
   6.5000    3.4261
   7.0000    3.7240
   7.5000    4.0192
   8.0000    4.3119
   8.5000    4.6021
   9.0000    4.8896
   9.5000    5.1746
  10.0000    5.4570
  10.5000    5.7369
  11.0000    6.0141
  11.5000    6.2888
  12.0000    6.5610
  12.5000    6.8305
  13.0000    7.0975
  13.5000    7.3620
  14.0000    7.6238
  14.5000    7.8831
  15.0000    8.1399
  15.5000    8.3940
  16.0000    8.6456
  16.5000    8.8946
  17.0000    9.1411
  17.5000    9.3849
  18.0000    9.6262
  18.5000    9.8650
  19.0000   10.1012
  19.5000   10.3348
  20.0000   10.5658
  20.5000   10.7943
  21.0000   11.0201
  21.5000   11.2435
  22.0000   11.4642
  22.5000   11.6824
  23.0000   11.8980
  23.5000   12.1111
  24.0000   12.3216
  24.5000   12.5295
  25.0000   12.7348
  25.5000   12.9376
  26.0000   13.1378
  26.5000   13.3354
  27.0000   13.5305
  27.5000   13.7230
  28.0000   13.9129
  28.5000   14.1003
  29.0000   14.2850
  29.5000   14.4673
  30.0000   14.6469
  30.5000   14.8240
  31.0000   14.9985
  31.5000   15.1704
  32.0000   15.3398
  32.5000   15.5066
  33.0000   15.6708
  33.5000   15.8325
  34.0000   15.9916
  34.5000   16.1481
  35.0000   16.3021
  35.5000   16.4535
  36.0000   16.6023
  36.5000   16.7486
  37.0000   16.8922
  37.5000   17.0333
  38.0000   17.1719
  38.5000   17.3079
  39.0000   17.4413
  39.5000   17.5721
  40.0000   17.7004