Difference between revisions of "HRRL 03-17-2011"

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= Fits After the Second Mapping of the Quad  =
 
= Fits After the Second Mapping of the Quad  =
  
I mapped the quad to find effective length of the quad for different currents.
+
I mapped the quad to find effective length of the quad for different currents. Results are at: [[Second Mapping of Quadruple Magnets]]
  
  

Revision as of 05:48, 14 March 2012

Accelerator Tuning

Good Tune Used for good Scan

By Dr. Kim

Solenoid 1 6.8 A
Solenoid 2 10.4 A
Gun Ver -0.2 A
Gun Hor +0.4 A
Output Hor -1.4A
Output Ver -0.5 A
Gun HV +9.75 (Knob Setting)
Gun Grid Voltage 5.25 (Knob Setting)
RF frequency 2855.816 MHz
Modulator HV Power Supply 4.42 (Knob Setting)
RF macro Pulse Length (FWHM) 200 ns
Peak Current on FC 37.2 mAmps
Scope on FC Scope image of good Accelarator setting by Dr. Kim Mar 17 2011.png
e- Beam Energy 14 MeV



Calibration

image OTR image cal_h (mm/px) cal_v (mm/px)
HRRL 03-17-2011 cal 1 source.png HRRL 03-17-2011 cal 1.png 0.04308 0.04204
HRRL 03-17-2011 cal 2 source.png HRRL 03-17-2011 cal 2.png 0.04320 0.04228
HRRL 03-17-2011 cal 3 source.png HRRL 03-17-2011 cal 3.png 0.04349 0.04181
HRRL 03-17-2011 cal 4 source.png HRRL 03-17-2011 cal 4.png 0.04323 0.04196
HRRL 03-17-2011 cal 5 source.png HRRL 03-17-2011 cal 5.png 0.04337 0.04212
mean (mm/px) mean (mm/px)
[math] 0.04327 \pm 0.00016 [/math] [math] 0.04204 \pm 0.00018 [/math]


Results

Q1

At lower current background subtraction gets worse, because singal/noise drops.

42 mA, Positive Current, X projection

emit=0.388 +- 0.008 mm*mrad, emit_norm=10.64 +- 0.22 mm*mrad

beta=1.285 +- 0.024, alpha=0.94 +-0.03


HRRL 03-17-2011 Results Q1 42mA Pos SupGau X.png

//K1*L(1/m)   er K1*L    sgima^2(mm)   er sigma^2

Media:2011_Mar_Emit_fit_data_x.txt


parabola fit for x-projection:

parabola fit for y-projection (y in mm unit):

y = (3.69167 +-0.02346) + (-3.89000+-0.12250)*x + (4.79738+-0.13309)*x.*x


Data created from parabola fit

Media:2011_Mar_Emit_data_from_fit_x.txt



42 mA, Negative Current, Y projection

emit=0.266 +- 0.018 mm*mrad, emit_norm=7.30 +- 0.50 mm*mrad

beta=0.918 +- 0.068, alpha=0.19 +-0.06


HRRL 03-17-2011 Results Q1 42mA Pos SupGau Y.png

//K1*L(1/m)   er K1*L    sgima^2(mm)   er sigma^2

Media:2011_Mar_Emit_fit_data_y.txt


parabola fit for y-projection (y in mm unit):

y = (2.81806 +-0.03890) + (0.52202+-0.26284)*x + (2.35025+-0.34553)*x.*x

Data created from parabola fit

Media:2011_Mar_Emit_data_from_fit_y.txt


X and Y emittances are different. The parabola in X reaches min around 0.4, while in Y reaches around 0.15. Which suggests quadrupole strengths of X and Y are way different for same coil current. Which might suggest beam is not centered, because when beam is off-centered we have this can occur.







20 mA, Positive Current, X projection

HRRL 03-17-2011 Results Q1 20mA Pos SupGau X.png


HRRL 03-17-2011 Results Q1 20mA Pos SupGau Y.png


10 mA, Positive Current, X projection

HRRL 03-17-2011 Results Q1 10mA Pos SupGau X.png


HRRL 03-17-2011 Results Q1 10mA Pos SupGau Y.png

5 mA, Positive Current, X projection

HRRL 03-17-2011 Results Q1 5mA Pos SupGau X.png


HRRL 03-17-2011 Results Q1 5mA Pos SupGau Y.png

Q4

42 mA All Other Quads off

Haven't reach minimum.

42 mA Q1_at_-2A, Q2_at_+8A, Q3_at_-6A

HRRL 03-17-2011 Results Q4 42mA T1 On Pos SupGau X.png

x-projection:


HRRL 03-17-2011 Results Q4 42mA T1 On Pos SupGau Y.png

y-projection:


Fits After the Second Mapping of the Quad

I mapped the quad to find effective length of the quad for different currents. Results are at: Second Mapping of Quadruple Magnets


MATLAB Scripts

Media:hrrl_2011_marc_emit_test_marc17_SuperGaussian_Fit.txt

Media:hrrl_2011_marc_emit_test_marc17_SupGau_devsum.txt

Media:hrrl_2011_marc_emit_test_marc17_Emit_Parabola_Fit_kl_XProjection.txt

Media:hrrl_2011_marc_emit_test_marc17_Emit_Parabola_Fit_kl_YProjection.txt


Media:hrrl_2011_marc_emit_test_marc17_Trial_my_superGaussian_Fit.txt

Media:hrrl_2011_marc_emit_test_marc17_Plot_Beam_Spot.txt

Media:hrrl_2011_marc_emit_test_marc17_Three_d_surface_plotter.txt

Media:hrrl_2011_marc_emit_test_marc17_my_superGaussian_Fit.txt

Media:hrrl_2011_marc_emit_test_marc17_devsum.txt

Media:hrrl_2011_marc_emit_test_marc17_countor_plotter.txt

With thin lens approximation method

Why y projection has bigger error?

Quad was mapping for the second time to find effective length for the different currents. Link is at [[1]].

X

HRRL Pos Emit test Mar17 2011 Fit after 2nd quad mapping q1.png

x-projection:

emit=0.417 +- 0.023 mm*mrad, emit_norm=11.43 +- 0.64 mm*mrad

beta=1.385 +- 0.065, alpha=0.97 +-0.07

parabola fit for x-projection (y in mm unit):

y = (3.67838 +-0.02232) + (-4.17265+-0.22057)*x + (5.55113+-0.42056)*x.*x


[math] \sigma_x^2= (3.678 \pm 0.022) + (-4.17 \pm 0.22)k_1L + (5.55 \pm 0.42)(k_1L)^2 [/math]

[math] \epsilon_x = 0.417 \pm 0.023~mm*mrad ~\Rightarrow~ \epsilon_{n,x} = 11.43 \pm 0.64~mm*mrad[/math]

[math] \beta_x=1.385 \pm 0.065, \alpha_x=0.97 \pm 0.07 [/math]

Y

HRRL Pos Emit test Mar17 2011 Fit after 2nd quad mapping q2.png

y-projection:

emit=0.338 +- 0.065 mm*mrad, emit_norm=9.25 +- 1.77 mm*mrad

beta=1.170 +- 0.192, alpha=0.22 +-0.10

parabola fit for y-projection (y in mm unit):

y = (2.84273 +-0.04370) + (1.02450+-0.51931)*x + (3.79913+-1.23728)*x.*x


[math]\sigma_y^2 = (2.843 \pm 0.044) + (1.02 \pm 0.52)k_1L + (3.8 \pm 1.2)(k_1L)^2 [/math]

[math] \epsilon_y = 0.338 \pm 0.065~mm*mrad ~\Rightarrow~ \epsilon_{n,y} = 9.3 \pm 1.8~mm*mrad[/math]

[math] \beta_y=1.17 \pm 0.19, \alpha_y=0.22 \pm 0.10 [/math]

Without thin lens approximation method

Thin lens approximation holds when [math] \sqrt{k_1}\times L_{QM} \lt \lt 1[/math] is true.

In our case [math] \sqrt{k_{1}} \times L_{QM} = \sqrt{0.5} \times 0.1 = 0.07 \lt 1 [/math]
















HRRL_Emittance_Measurements_March14-18-2011