# 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

 V1 (Gun Vertical) H1 (Gun Horizontal) Sol1 (Gun Sol) V2 (Output Vertical) H2 (Output horizontal Sol 2 (Output solenoid) OTR Pict FC pict (A) (A) (A) (A) (A) (A) (-0.3) +0 0 0 -0 -0 (-0.2) +0.4 5.4 -0.5 -0.5 5.5 (-0.2) +0.4 6.8 -0.5 -0.5 5.5 (-0.2) +0.4 6.8 -0.5 -0.5 10.4

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

# Calibration

Estimate the error in the above calibration


 image OTR image Calibration cal_h = 31.75 mm / 737 px = 0.04308 mm/px; cal_v = 31.75 mm / sqrt(2) / 531 px = 0.04228 mm/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; cal_h = 31.75 mm / 735 px = 0.04320 mm/px; cal_v = 31.75 mm / sqrt(2) / 532 px = 0.04220 mm/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; cal_h = 31.75 mm / 749 px = 0.04239 mm/px; cal_v = 31.75 mm / sqrt(2)) / 539 px = 0.04165 mm/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 cal_h = 31.75 mm / 735 px = 0.04320 mm/px; cal_v = 31.75 mm / sqrt(2)) / 532 px = 0.04220 mm/px

 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

Image

Back grounds

 Signal Background 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 sigma_x = 24.97 px sigma_y = 44.45 px Blue: Signal, Red Background, Black: Subtraction signal background signal - background signal background signal - background

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

 Signal Background 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. sigma_x = 31.37 px sigma_y = 18.63 px

## Lorentzian Fitting

Basic MATLAB Codes to fit Lorentzian:

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

Basic MATLAB Codes to fit Super Gaussian:

My MATLAB Fit code for beam

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

## Q4

Did not reach minimum.