1. Pepper-pot Effective Transversal Emittance Meter for Ion Beams
Dušan Vudragović Scientific Computing Laboratory
Institute of Physics Belgrade

2. Particles’ phase space [1/2]
Scalar and vector potential
Electric and magnetic field
Lagrangian
Generalized momentum
Transverse magnetic field

3. Particles’ phase space [2/2]
Measurable variables
Particles velocity approximation
Liouville’s theorem
Effective Transversal Emittance

4. Setup for emittance measurement

5. Algorithm [1/6]
Typical input
Number of particles

6. Algorithm [2/6]
<x> and <x’>

7. Algorithm [3/6] (x,x’)  (ξ,ξ’) (ξ,ξ’)  (η,η’) Dispersion
Extreme dispersion

8. Algorithm [4/6]
Effective Transversal Emittance

9. Algorithm [5/6]
<ξ2>
<ξ’2>
<ξξ’>

10. Algorithm [6/6]
Effective Transversal Emittance

11. Implementation [1/4] Calibration CCD snapshot Effective resolution
Central slit position
CCD snapshot
Load
Background Cleaning

12. Implementation [2/4]
Spot detection
Auto
Manual
Spot identification

13. Implementation [3/4]
Manual analysis

14. Implementation [4/4]
Emittance calculation