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

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

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

Setup for emittance measurement

Algorithm [1/6] Typical input Number of particles

Algorithm [2/6] <x> and <x’>

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

Algorithm [4/6] Effective Transversal Emittance

Algorithm [5/6] <ξ2> <ξ’2> <ξξ’>

Algorithm [6/6] Effective Transversal Emittance

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

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

Implementation [3/4] Manual analysis

Implementation [4/4] Emittance calculation