# HRRL 03-18-2011

# 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.