# Mapping PS results

**Data**

**2D maps**

2D (z,x) maps were taken at nominal field (1.8T) for 3 vertical (y) positions (0, +/1 cm), and at 2.0Y for y=0):

1.8T, y=0 2D results: Media: Ps_2d_y0_1.8T.pdf Hall probes 1 (red), 3 (blue) and 5 (magenta) measured By. Probe 2 (green) measured Bx, probe 4 (light blue) measured Bz.

1.8T, y=+1cm 2D results: Media: Ps_2d_yp1_1.8T.pdf. All Hall probes measured By.

1.8T, y=-1cm 2D results:Media: Ps_2d_ym1_1.8T.pdf. All Hall probes measured By.

2.0T, y=0 2D results: Media: Ps_2d_y0_2.0T.pdf Hall probes 1 (red), 2 (green), and 3 (blue) measured By. Probe and 5 (magenta) measured Bx, probe 4 (light blue) measured Bz.

**1D downstream maps**

1D maps, along z, were taken at 3 field values: 2.0T, 1.5T and 1.0T for 3 transverse (x) positions, at at x=0 only for 1.8T.

2.0T, x=0 result (Hall probes measured By): Media: Ps_1dz_2.0T.pdf

2.0T, x=-10cm result (Hall probes measured By):Media:Ps_1dz_xp10_2.0T.pdf

2.0T, x=+10cm result (Hall probes measured By):Media:Ps_1dz_xm10_2.0T.pdf

1.8T, x=0 result (Hall probes measured By): Media: Ps_1dz_1.8T.pdf

1.5T, x=0 result (Hall probes measured By): Media: Ps_1dz_1.5T.pdf

1.5T, x=-10cm result (Hall probes measured By): Media:Ps_1dz_xp5_1.5T.pdf

1.5T, x=+5cm result (Hall probes measured By):Media:Ps_1dz_xm10_1.5T.pdf

1.0T, x=0 result (Hall probes measured By): Media: Ps_1dz_1.0T.pdf

1.0T, x=-10cm result (Hall probes measured By): Media: Ps_1dz_xp5_1.0T.pdf

1.0T, x=+5cm result (Hall probes measured By): Media: Ps_1dz_xm10_1.0T.pdf

**1D upstream maps**

1D maps, along z, were taken at 4 field values: 2.0T, 1.8T, 1.5T and 1.0T. The 3 components of the magnetic field were measured.

On the figures below, Top left plot: By vs z. Bottom left plot. Zoom on By vs z. Top right plot: Bx vs z. Bottom right plot: Bz vs z. B unit is Gauss.

2.0T result: Media: Upstrm_2t.pdf. The angle variations during the scan yields negligible correction to By.

1.8T result: Media: Upstrm_1.8t.pdf. The angle variations during the scan yields negligible correction to By.

1.5T result: Media: Upstrm_1.5t.pdf. The angle variations during the scan yields negligible correction to By.

1.0T result: Media: Upstrm_1.0t.pdf. The angle variations during the scan yields negligible correction to By.

Note: The Bz and Bx profiles do not scale between different B field values. This may be because prior to map a given field value, we attached the NMR probe to the measuring arm and then removed it. This may have changed the alignment of the Hall probes measuring Bx and Bz.

*1D upstream + downstream together'*

Top left plot: By vs z. Bottom left plot. Zoom on By vs z. Measurements are normalized to same current (a few gauss correction). For now, Tosca is arbitrarily matched to the downstream measurement.

2.0T result: Media: Up_dn_2.0T.pdf. There is 11 gauss difference between the two data sets at the center of the magnet. It most likely is due to a difference in angle of the Hall probe. A 0.032 degree angle difference would account for it. Two different arms were used for the measurements and can easily be leveled with such angle difference.

1.8T result: Media: Up_dn_1.8T.pdf. There is 12 gauss difference between the two data sets at the center of the magnet. This implies a 0.038 degree angle difference between the 2 measurements.

1.5T result: Media: Up_dn_1.5T.pdf. There is 7 gauss difference between the two data sets at the center of the magnet. This implies a 0.027 degree angle difference.

1.0T result: Media: Up_dn_1.0T.pdf. There is -4.8 gauss difference between the two data sets at the center of the magnet. This implies a -0.028 degree angle difference

**Inclination study**

For the 1.8T y=0 and the 2.0T 2D maps, two Hall probes were set to measure the Bx and Bz component of the field in order to verify at what level the x and z translations of the probes during the mapping were flat. We show here the results of these measurements.

**2.0T data**

Bz component:

Media: Ps_2d_p4_2T.pdf gradients on the z-component of the field,Bz, for 2.0T. Top left: 2D map, top right: color plot of Bz (in Gauss) in function of x and z (cm). Bottom left plot: Bz gradient along x normalized to Bz. Bottom right plot: Bz gradient along z normalized to Bz.

Media: Ps_2d_p4_2T_zoom1.pdf same as above but zoomed for -10<z<45 cm. Normalized B gradients are now in %.

Media: Ps_2d_p4_2T_zoom2.pdf same as above but zoomed for -10<z<20 cm. Normalized B gradients are now in 0/000.

Bx component:

Media: Ps_2d_p5_2T.pdf gradients on the x-component of the field,Bx, for 2.0T. Top left: 2D map, top right: color plot of Bx (in Gauss) in function of x and z (cm). Bottom left plot: Bx gradient along x normalized to Bx. Bottom right plot: Bz gradient along z normalized to Bz.

Media: Ps_2d_p5_2T_zoom1.pdf same as above but zoomed for -10<z<45 cm. Normalized B gradients are now in %.

Media: Ps_2d_p5_2T_zoom2.pdf same as above but zoomed for -10<z<20 cm. Normalized B gradients are now in 0/000.

**Gradient study**

We looked at gradients dB/B, mostly to determine where an NMR monitoring probe could be installed. (These probes do not tolerate gradient greater than 200 to 600 ppm.)

**2.0T data**

Media:Grad_2.0T.pdf gradients on the y-component of the field,By, for 2.0T. Top left: 2D map (By in blue/red/green, Bz in light blue and Bx in magenta), top right: color plot of By (in mTesla) in function of x and z (cm). Bottom left plot: By gradient along x normalized to By (in 0/00). Bottom right plot: By gradient along z normalized to By (in 0/00).

**1.8T data**

Media:Grad_1.8T.pdf gradients on the y-component of the field,By, for 1.8T. Top left: 2D map (By in purple/red/blue, Bz in light blue and Bx in green), top right: color plot of By (in mTesla) in function of x and z (cm). Bottom left plot: By gradient along x normalized to By (in 0/00). Bottom right plot: By gradient along z normalized to By (in 0/00).

Media:Grad_1.8T_zoom1.pdf Same as above but zoomed with -10cm<z<+45cm.

Media:Grad_1.8T_zoom2.pdf Same as above but zoomed with -10cm<z<+20cm and normalized gradients are in ppm.