Difference between revisions of "HRRL 03-18-2011"
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Estimate the error in the above calibration | Estimate the error in the above calibration | ||
+ | |||
+ | |||
+ | {| border="3" cellpadding="20" cellspacing="0" | ||
+ | | image || OTR image || Calibration | ||
+ | |- | ||
+ | |[[File:HRRL_03-18-2011_cal_1_source.png | 200 px]] || [[File:HRRL_03-18-2011_cal_1.png | 200 px]] ||cal_h = 31.75 mm / 737 px = 0.04308 mm/px; cal_v = 31.75 mm / sqrt(2) / 531 px = 0.04228 mm/px; | ||
+ | |- | ||
+ | |[[File:HRRL_03-18-2011_cal_2_source.png | 200 px]] || [[File:HRRL_03-18-2011_cal_2.png | 200 px]] || cal_h = 31.75 mm / 738 px = 0.04302 mm/px; cal_v = 31.75 mm / sqrt(2) / 535 px = 0.04196 mm/px; | ||
+ | |- | ||
+ | |[[File:HRRL_03-18-2011_cal_3_source.png | 200 px]] || [[File:HRRL_03-18-2011_cal_3.png | 200 px]] || cal_h = 31.75 mm / 735 px = 0.04320 mm/px; cal_v = 31.75 mm / sqrt(2) / 532 px = 0.04220 mm/px; | ||
+ | |- | ||
+ | |[[File:HRRL_03-18-2011_cal_4_source.png | 200 px]] || [[File:HRRL_03-18-2011_cal_4.png | 200 px]] || cal_h = 31.75 mm / 735 px = 0.04320 mm/px; cal_v = 31.75 mm / sqrt(2) / 536 px = 0.04189 mm/px; | ||
+ | |- | ||
+ | |[[File:HRRL_03-18-2011_cal_5_source.png | 200 px]] || [[File:HRRL_03-18-2011_cal_5.png | 200 px]] || cal_h = 31.75 mm / 749 px = 0.04239 mm/px; cal_v = 31.75 mm / sqrt(2)) / 539 px = 0.04165 mm/px | ||
+ | |- | ||
+ | |[[File:HRRL_03-18-2011_cal_6_source.png | 200 px]] || [[File:HRRL_03-18-2011_cal_6.png | 200 px]] || cal_h = 31.75 mm / 732 px = 0.04337 mm/px; cal_v = 31.75 mm / sqrt(2) / 536 px = 0.04189 mm/px | ||
+ | |- | ||
+ | |[[File:HRRL_03-18-2011_cal_7_source.png | 200 px]] || [[File:HRRL_03-18-2011_cal_7.png | 200 px]] || cal_h = 31.75 mm / 735 px = 0.04320 mm/px; cal_v = 31.75 mm / sqrt(2)) / 532 px = 0.04220 mm/px | ||
+ | |- | ||
+ | |} | ||
+ | |||
+ | |||
+ | |||
+ | {| border="3" cellpadding="20" cellspacing="0" | ||
+ | |- | ||
+ | |cal_h (mm/px) || cal_v (mm/px) || | ||
+ | |- | ||
+ | |0.04308|| 0.04228 || | ||
+ | |- | ||
+ | |0.04302 || 0.04196 || | ||
+ | |- | ||
+ | |0.04320 || 0.04220 || | ||
+ | |- | ||
+ | |0.04320 || 0.04189 || | ||
+ | |- | ||
+ | |0.04239 || 0.04165 || | ||
+ | |- | ||
+ | |0.04337 || 0.04189 || | ||
+ | |- | ||
+ | |0.04320 || 0.04220 || | ||
+ | |- | ||
+ | | mean (mm/px) || mean (mm/px) || | ||
+ | |- | ||
+ | | <math> 0.04307 \pm 0.00032 </math>|| <math> 0.04201 \pm 0.00023 </math> || | ||
+ | |} | ||
= Data Analysis = | = Data Analysis = | ||
Line 131: | Line 176: | ||
Fitted Gaussian for whole image | Fitted Gaussian for whole image | ||
x-projection: | x-projection: | ||
− | |||
− | |||
− | |||
− | |||
[[File:HRRL_03-18-2011_Data_Analysis_Preliminary_Results_Gauss_Fitted_Whole_Image.png | 300 px]] | [[File:HRRL_03-18-2011_Data_Analysis_Preliminary_Results_Gauss_Fitted_Whole_Image.png | 300 px]] | ||
Line 152: | Line 193: | ||
x-projection: | x-projection: | ||
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− | |||
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[[File:HRRL_03-18-2011_Data_Analysis_Preliminary_Results_Gauss_Fitted_Part_1_Image.png | 300 px]] | [[File:HRRL_03-18-2011_Data_Analysis_Preliminary_Results_Gauss_Fitted_Part_1_Image.png | 300 px]] | ||
− | |||
=== Gaussian fitted for part 2 of the image === | === Gaussian fitted for part 2 of the image === | ||
Line 170: | Line 207: | ||
x-projection: | x-projection: | ||
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Line 189: | Line 222: | ||
x-projection: | x-projection: | ||
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Line 210: | Line 239: | ||
x-projection: | x-projection: | ||
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[[File:HRRL_03-18-2011_Data_Analysis_Preliminary_Results_Gauss_Fitted_Part_4_Image.png | 300 px]] | [[File:HRRL_03-18-2011_Data_Analysis_Preliminary_Results_Gauss_Fitted_Part_4_Image.png | 300 px]] | ||
Line 224: | Line 250: | ||
Image | Image | ||
− | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-signal.png | | + | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-signal.png | 200 px]] |
Back grounds | Back grounds | ||
− | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-bg-1.png | 300 px]] | + | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-bg-1.png | 100 px]] |
− | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-bg- | + | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-bg-2.png | 100 px]] |
− | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-bg- | + | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-bg-3.png | 100 px]] |
+ | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-bg-4.png | 100 px]] | ||
+ | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-bg-5.png | 100 px]] | ||
+ | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-bg-6.png | 100 px]] | ||
+ | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-bg-7.png | 100 px]] | ||
+ | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-bg-8.png | 100 px]] | ||
+ | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-bg-9.png | 100 px]] | ||
+ | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-bg-10.png | 100 px]] | ||
+ | |||
+ | |||
+ | |||
+ | {| border="1" | ||
+ | | Signal || Background | ||
+ | |- | ||
+ | | [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-signal.png | 300 px]] || [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-bg-1.png | 300 px]] | ||
+ | |- | ||
+ | |These MATLAB fits are set to fit at 0.7 times above height of the peak. | ||
+ | |- | ||
+ | | Matlab fit to x profile || Matlab fit to y profile | ||
+ | |- | ||
+ | |[[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-signal-Matlab_Fit-x.png | 300 px]] || [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-signal-Matlab_Fit-y.png | 300 px]] | ||
+ | |- | ||
+ | |sigma_x = 24.97 px || sigma_y = 44.45 px | ||
+ | |- | ||
+ | | Blue: Signal, Red Background, Black: Subtraction || [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-signal_bg_sg-bg.png | 300 px]] | ||
+ | |- | ||
+ | |signal || [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-surf-sg.png | 300 px]] | ||
+ | | | ||
+ | |- | ||
+ | |background || [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-surf-bg.png | 300 px]] | ||
+ | | | ||
+ | |- | ||
+ | | signal - background|| [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-surf-sg-bg.png | 300 px]] | ||
+ | | | ||
+ | |- | ||
+ | |signal || [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-contour-sg.png | 300 px]] | ||
+ | |- | ||
+ | |background || [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-contour-bg.png | 300 px]] | ||
+ | | | ||
+ | |- | ||
+ | | signal - background|| [[File:HRRL-03-18-2011-Analysis-with-root-Q1_Scan-42mA-peak-current-Scan-Coil-Current-at-positive-1.8_Amp-contour-sg-bg.png | 300 px]] | ||
+ | | | ||
+ | |||
+ | |} | ||
+ | |||
+ | [[File:TF_Q1_1.8_03182011_NOCUTS.png| 200 px]][[File:TF_Q1_1.8_03182011.png| 200 px]] | ||
− | + | The red line is the background above which seems to be larger than the signal. Why? | |
− | |||
− | |||
− | + | Below I zoom in on channel 250 where you can see that for this channel the background is larger. I then plot, on the right, all the elements along the x direction what are added up to get the values on the right. | |
− | |||
− | |||
− | [[File: | + | [[File:TF_Q1_1.8_03182011Problem.png| 200 px]] |
+ | Why isn't the addition making sense? | ||
+ | === Q6_Scan, 42mA peak current, Scan Coil Current at negative 2.5_Amp === | ||
− | |||
{| border="1" | {| border="1" | ||
| Signal || Background | | Signal || Background | ||
|- | |- | ||
− | | [[File:HRRL-03-18-2011-Analysis-with-root- | + | | [[File:HRRL-03-18-2011-Analysis-with-root-Q6_Scan-42mA-peak-current-Scan-Coil-Current-at-negative-2.5_Amp-signal.png | 300 px]] || [[File:HRRL-03-18-2011-Analysis-with-root-Q6_Scan-42mA-peak-current-Scan-Coil-Current-at-negative-2.5_Amp-bg-1.png | 300 px]] |
+ | |- | ||
+ | | Matlab fit to x profile || Matlab fit to y profile | ||
+ | |- | ||
+ | | set to fit at 0.2 times above height of the peak. || set to fit at 0.7 times above height of the peak. | ||
+ | |- | ||
+ | |||
+ | |[[File:HRRL-03-18-2011-Analysis-with-root-Q6_Scan-42mA-peak-current-Scan-Coil-Current-at-negative-2.5_Amp-signal-Matlab_Fit-x.png | 300 px]] || [[File:HRRL-03-18-2011-Analysis-with-root-Q6_Scan-42mA-peak-current-Scan-Coil-Current-at-negative-2.5_Amp-signal-Matlab_Fit-y.png | 300 px]] | ||
+ | |- | ||
+ | |sigma_x = 31.37 px || sigma_y = 18.63 px | ||
+ | |||
+ | |} | ||
+ | |||
+ | [[File:TF_Q6_2.5_03182011.png| 200px]] | ||
+ | |||
+ | == Lorentzian Fitting == | ||
+ | |||
+ | Basic MATLAB Codes to fit Lorentzian: | ||
+ | |||
+ | [[File:Trial_my_Lorentzian_fit.txt]] | ||
+ | |||
+ | [[File:desum.txt]] | ||
+ | |||
+ | My MATLAB Fit code for beam | ||
+ | |||
+ | [[File:my_Lorentzian_fit.txt]] | ||
+ | |||
+ | [[File:desum.txt]] | ||
+ | |||
+ | Here is an example fitting: | ||
+ | |||
+ | {| border="1" | ||
+ | | Signal || Background || fit | ||
|- | |- | ||
− | | | + | | [[File:HRRL_03-18-2011_Lorentzian_Fitting_Example_sg.png| 300 px]] || [[File:HRRL_03-18-2011_Lorentzian_Fitting_Example_bg.png| 300 px]] || [[File:HRRL_03-18-2011_Lorentzian_Fitting_Example_1.png| 300 px]] |
|- | |- | ||
− | | | + | | height of the peak || location of the peak || half-width at half-maximum (HWHM) |
|- | |- | ||
− | |[[File: | + | | 1.6935e+006 || 358.9910 || 45.4280 |
+ | |} | ||
+ | |||
+ | If we were to apply the relation of the Gaussian rms to its FWHM to Lorentzian, we will get the sigma (or rms) of Lorentzian to be: | ||
+ | <math> \frac {2 \times 45.4280}{ 2.3548} = 38.5833192 </math> | ||
+ | |||
+ | |||
+ | == Super Gaussian Fitting == | ||
+ | |||
+ | Beam Distributions Beyond RMS: | ||
+ | [[File:Beam_Distributions_Beyond_RMS.pdf]] | ||
+ | |||
+ | Bib: http://www.osti.gov/bridge/product.biblio.jsp?osti_id=82539# | ||
+ | |||
+ | |||
+ | Basic MATLAB Codes to fit Super Gaussian: | ||
+ | |||
+ | [[File:Trial_my_Super_Gaussian_fit.txt]] | ||
+ | |||
+ | [[File:SupGau_desum.txt]] | ||
+ | |||
+ | My MATLAB Fit code for beam | ||
+ | |||
+ | [[File:my_Super_Gaussian_fit.txt]] | ||
+ | |||
+ | [[File:SupGau_desum.txt]] | ||
+ | |||
+ | Here is an example fitting: | ||
+ | |||
+ | {| border="1" | ||
+ | | Signal || Background || fit | ||
|- | |- | ||
− | | | + | | [[File:HRRL_03-18-2011_Lorentzian_Fitting_Example_sg.png| 300 px]] || [[File:HRRL_03-18-2011_Lorentzian_Fitting_Example_bg.png| 300 px]] || [[File:HRRL_03-18-2011_SupGau_Fitting_Example_1.png| 300 px]] |
+ | |||
+ | |||
+ | |||
+ | [[HRRL_Emittance_Measurements_March14-18-2011]] | ||
+ | |- | ||
+ | | base || Amplitude || center | ||
+ | |- | ||
+ | | 202 || 8.0480e+003 || 359.6730 | ||
+ | |- | ||
+ | | sigma_0 || N || sigma | ||
+ | |- | ||
+ | | 20.92 || 0.8494 || 38.56 | ||
|} | |} | ||
+ | |||
+ | |||
+ | If we were to apply the relation of the Gaussian rms to its FWHM to Lorentzian, we will get the sigma (or rms) of Lorentzian to be: | ||
+ | <math> \frac {2 \times 45.4280}{ 2.3548} = 38.5833192 </math> | ||
+ | |||
+ | This is very close to the sigma we got from Super Gaussian, which is 38.56 | ||
+ | |||
+ | = Results = | ||
+ | |||
+ | == Q1 == | ||
+ | |||
+ | === Positive Current, X projection === | ||
+ | |||
+ | ==== 1st fit ==== | ||
+ | |||
+ | |||
+ | [[File:HRRL 03-18-2011_Results_Q1_42mA_Pos_X.png | 300 px]] | ||
+ | |||
+ | |||
+ | ==== 2nd fit after cut off some points ==== | ||
+ | |||
+ | |||
+ | [[File:HRRL 03-18-2011_Results_Q1_42mA_Pos_X_2.png | 300 px]] | ||
+ | |||
+ | == Q4 == | ||
+ | |||
+ | Did not reach minimum. | ||
+ | |||
+ | |||
Latest revision as of 19:13, 11 January 2012
Tune parameters
Previous Tune at the higher energy
Solenoid 1 | 5.4 A |
Solenoid 2 | 5.5 A |
Gun Ver | -0.2 A |
Gun Hor | +0.4 A |
Output Hor | -0.5 A |
Output Ver | -0.5 A |
Gun HV | +9.75 (Knob Setting) |
Gun Grid Voltage | 5.25 (Knob Setting) |
RF frequency | 2855.813 MHz |
Modulator HV Power Supply | 4.11 (Knob Setting) |
RF macro Pulse Length (FWHM) | 200 ns |
Solenoid comparison with yesterdays higher energy tune
Quad Scans
To test reproducibility from yesterday. Scan at 40, 20, 10, 5 mA peak currents. Scan twice on each Current.
Do Energy Scan
Bend the beam through 45 bending dipole, take images on the scope of FC and YAG images.
D1 current | Energy | FC peak Volt | Pic |
(A) | MeV | mV | |
28 | 11.85 | 39 | |
29 | 12.3 | 74 | |
30 | 12.74 | 93 | |
30.5 | 12.96 | 65 | |
30.7 | large uncertainty | 22 |
Quad 1 Scan
Quad 1 | OTR Pict | FC pict |
(A) | ||
+0 | ||
+0.2 | ||
+0.4 | ||
+0.6 | ||
+0.8 | ||
+1.0 | ||
+1.2 | ||
+1.4 | ||
+1.6 | ||
+1.8 | ||
+2.0 |
Scan Quad 4
Calibration
Estimate the error in the above calibration
cal_h (mm/px) | cal_v (mm/px) | |
0.04308 | 0.04228 | |
0.04302 | 0.04196 | |
0.04320 | 0.04220 | |
0.04320 | 0.04189 | |
0.04239 | 0.04165 | |
0.04337 | 0.04189 | |
0.04320 | 0.04220 | |
mean (mm/px) | mean (mm/px) | |
Data Analysis
Preliminary results
Here is the study on how to fit non_Gaussian curve. I fitted for whole image as well as parts of the image.
Here is beam profile, which is non-Gaussian.
Fits for whole image:
Fits for x=[362,404] and y=[241,301]:
Gaussian fitted for whole image
12.74 MeV
Fitted Gaussian for whole image x-projection:
Gaussian fitted for part 1 of the image
Fitted Gaussian for part 1 of the image
xl = 362;% center at 382 xr = 404; yl = 241;% center at 271 yr = 301;
xl: x left, xr: x right. yl: y left, yr: y right.
x-projection:
Gaussian fitted for part 2 of the image
Fitted Gaussian for part 2 of the image
xl = 342;% center at 382 xr = 424; yl = 241;% center at 271 yr = 301;
x-projection:
Gaussian fitted for part 3 of the image
Fitted Gaussian for part 3 of the image
xl = 342;% center at 382 xr = 424; yl = 221;% center at 271 yr = 321;
x-projection:
Gaussian fitted for part 4 of the image
Fitted Gaussian for part 4 of the image
xl = 322;% center at 382 xr = 444; yl = 221;% center at 271 yr = 321;
x-projection:
Analysis with root
Q1_Scan, 42mA peak current, Scan Coil Current at positive 1.8_Amp
Back grounds
The red line is the background above which seems to be larger than the signal. Why?
Below I zoom in on channel 250 where you can see that for this channel the background is larger. I then plot, on the right, all the elements along the x direction what are added up to get the values on the right.
Why isn't the addition making sense?
Q6_Scan, 42mA peak current, Scan Coil Current at negative 2.5_Amp
Lorentzian Fitting
Basic MATLAB Codes to fit Lorentzian:
File:Trial my Lorentzian fit.txt
My MATLAB Fit code for beam
Here is an example fitting:
Signal | Background | fit |
height of the peak | location of the peak | half-width at half-maximum (HWHM) |
1.6935e+006 | 358.9910 | 45.4280 |
If we were to apply the relation of the Gaussian rms to its FWHM to Lorentzian, we will get the sigma (or rms) of Lorentzian to be:
Super Gaussian Fitting
Beam Distributions Beyond RMS: File:Beam Distributions Beyond RMS.pdf
Bib: http://www.osti.gov/bridge/product.biblio.jsp?osti_id=82539#
Basic MATLAB Codes to fit Super Gaussian:
File:Trial my Super Gaussian fit.txt
My MATLAB Fit code for beam
File:My Super Gaussian fit.txt
Here is an example fitting:
Signal | Background | fit |
| ||
base | Amplitude | center |
202 | 8.0480e+003 | 359.6730 |
sigma_0 | N | sigma |
20.92 | 0.8494 | 38.56 |
If we were to apply the relation of the Gaussian rms to its FWHM to Lorentzian, we will get the sigma (or rms) of Lorentzian to be:
This is very close to the sigma we got from Super Gaussian, which is 38.56
Results
Q1
Positive Current, X projection
1st fit
2nd fit after cut off some points
Q4
Did not reach minimum.