SLIDE 1
Optimalization of beam width and geometry parameters of VADIS cavity
Geneva, CERN, 13.8.2014
Miroslav Macko
Comenius University, Faculty of Mathematics, Physics and Informatics, Bratislava, Slovakia
Supervisor: Thierry Stora
CERN, ISOLDE Geneva, Switzerland
SLIDE 2 Geneva, CERN, 13.8.2014
Contents
- What is VADIS?
- The problem
- Explanation
- CPO model
- Original approach
- Our model
- Results and conclusions
- Future work
SLIDE 3 What is VADIS?
Geneva, CERN, 13.8.2014
- Versatile Arc Discharge Ion Source
- Cavity
- Cylindrical symmetry
- Difference in aperture
Source: [1] Liviu Constantin Penescu
MK7 VADIS MK7 VADIS
SLIDE 4 How it works?
- Anode at 150 V
- e- accelerated to 150 eV by grid
- Ions created in collisions with neutral atoms
- Positive ions extracted in aperture
Geneva, CERN, 13.8.2014
Source: [1] Liviu Constantin Penescu
MK7 VADIS
SLIDE 5
The problem
Geneva, CERN, 13.8.2014
Source: [1] Liviu Constantin Penescu
SLIDE 6 Explanation
Geneva, CERN, 13.8.2014
- Ions extracted at temperature ~ 2000°C
- Kinetic energy: 2000°C ~ 0,2 eV
- Borders of active volume – 149,8 V potential line
because 150V-0,2V=149,8V
Source: [1] Liviu Constantin Penescu
SLIDE 7 CPO model
Geneva, CERN, 13.8.2014
- Potential line penetration (MK7)
SLIDE 8 CPO model
Geneva, CERN, 13.8.2014
- Potential line penetration (VADIS)
SLIDE 9
CPO model
Geneva, CERN, 13.8.2014
MK7 VADIS
SLIDE 10 Original approach
- Ions and electrons -> space charge in cavity
- Two calculations
- a) Electrons (ions negligible)
- b) Ions (electrons negligible)
- Result = superposition of two fields
Geneva, CERN, 13.8.2014
SLIDE 11
Original approach (example)
Geneva, CERN, 13.8.2014
Electrons Ions
Source: [1] Liviu Constantin Penescu
SLIDE 12
Original approach (results)
Geneva, CERN, 13.8.2014
Source: [1] Liviu Constantin Penescu
SLIDE 13 Our idea
- Is previous approach the best possible?
- What about interaction between electrons and ions?
Geneva, CERN, 13.8.2014
- Electrons „set“ potential for ions
- Before including ions it may be useful to study
how electrons act under different conditions
- After that sending ions into „specificaly tailored“
potential of electrons (future work)
SLIDE 14 Our model
- How to calculate potential assuming space charge
- f electrons?
Geneva, CERN, 13.8.2014
SLIDE 15 Our model
- What is typical shape of such
potential?
Geneva, CERN, 13.8.2014
SLIDE 16 Our model
- What is typical shape of such
potential?
Geneva, CERN, 13.8.2014
SLIDE 17 Our model
these parameters?
Geneva, CERN, 13.8.2014
SLIDE 18 Our model
- How can we influence these parameters?
- Possible tools
- a) „Better aiming“
- b) Change of current density
Geneva, CERN, 13.8.2014
- a) Better aiming by change of beam radius
- b) Current density by change of cathode temperature
Richardson´s law: J=AT2exp(-W/kT)
SLIDE 19
- Definition of beam radius „r“
Geneva, CERN, 13.8.2014
Our model
SLIDE 20
Simulated data (MK7)
Geneva, CERN, 13.8.2014
SLIDE 21
Simulated data (VADIS)
Geneva, CERN, 13.8.2014
SLIDE 22
Potential minimum
Geneva, CERN, 13.8.2014
MK7 VADIS
SLIDE 23
Geneva, CERN, 13.8.2014
MK7 VADIS Neck value
SLIDE 24
Geneva, CERN, 13.8.2014
Potential minimum
MK7 vs. VADIS
Neck value
SLIDE 25
Infinite charged cylinder?
Geneva, CERN, 13.8.2014
SLIDE 26 Quo vadis VADIS?
Geneva, CERN, 13.8.2014
- Can we reproduce potential shape on axis by
summation of potentials of infinitezimaly thin discs?
Q(z) z dq1 dq2 dq3 dq4 dq5
SLIDE 27 Quo vadis VADIS?
Geneva, CERN, 13.8.2014
- Is shape in radial direction really charged cylinder
potential?
- Poisson equation in cylindrical coordinates
- How much ions „ruin“ these models?
- What measurable variables we can obtain?
- Are these consistent with experiment?
- What is the influence of changed geometry?
SLIDE 28 Geneva, CERN, 13.8.2014
References:
- [1] Liviu Constantin Penescu, Techniques to
produce and accelerate radioactive ion beams, Bucharest, 2009
- [2] FH Read and NJ Bowring, The CPO programs
and the BEM for charged particle optics, Nucl. Instr.
- Meth. A645, 273-277 (2011)
Aknowledgments:
- I would like to thank Thierry Stora for his advices and
for all support and help I needed. My thanks to all of you! Thanks to you I spent really nice two months here! Thanks for this experience!