Difference between revisions of "HRRL 03-18-2011"
(25 intermediate revisions by 2 users not shown) | |||
Line 119: | Line 119: | ||
|[[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_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> || | ||
|} | |} | ||
Line 147: | 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 168: | Line 193: | ||
x-projection: | x-projection: | ||
− | |||
− | |||
− | |||
[[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 186: | Line 207: | ||
x-projection: | x-projection: | ||
− | |||
− | |||
− | |||
− | |||
Line 205: | Line 222: | ||
x-projection: | x-projection: | ||
− | |||
− | |||
− | |||
− | |||
Line 226: | Line 239: | ||
x-projection: | x-projection: | ||
− | |||
− | |||
− | |||
[[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 291: | Line 301: | ||
|} | |} | ||
+ | |||
+ | [[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: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 === | === Q6_Scan, 42mA peak current, Scan Coil Current at negative 2.5_Amp === | ||
Line 309: | Line 329: | ||
|} | |} | ||
+ | |||
+ | [[File:TF_Q6_2.5_03182011.png| 200px]] | ||
== Lorentzian Fitting == | == Lorentzian Fitting == | ||
Line 342: | Line 364: | ||
== Super Gaussian Fitting == | == Super Gaussian Fitting == | ||
− | Beam Distributions Beyond RMS [[File:Beam_Distributions_Beyond_RMS.pdf]] | + | Beam Distributions Beyond RMS: |
+ | [[File:Beam_Distributions_Beyond_RMS.pdf]] | ||
+ | |||
+ | Bib: http://www.osti.gov/bridge/product.biblio.jsp?osti_id=82539# | ||
Line 363: | Line 388: | ||
|- | |- | ||
| [[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]] | | [[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 | | base || Amplitude || center | ||
Line 378: | Line 408: | ||
This is very close to the sigma we got from Super Gaussian, which is 38.56 | 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. | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | [[HRRL_Emittance_Measurements_March14-18-2011]] |
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.