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Optimalization of beam width and geometry parameters of VADIS cavity - - PowerPoint PPT Presentation

Optimalization of beam width and geometry parameters of VADIS cavity Miroslav Macko Comenius University, Faculty of Mathematics, Physics and Informatics, Bratislava, Slovakia Supervisor: Thierry Stora CERN, ISOLDE Geneva, Switzerland


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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

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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
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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

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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

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SLIDE 5

The problem

Geneva, CERN, 13.8.2014

Source: [1] Liviu Constantin Penescu

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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

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SLIDE 7

CPO model

Geneva, CERN, 13.8.2014

  • Potential line penetration (MK7)
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SLIDE 8

CPO model

Geneva, CERN, 13.8.2014

  • Potential line penetration (VADIS)
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SLIDE 9

CPO model

Geneva, CERN, 13.8.2014

MK7 VADIS

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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

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SLIDE 11

Original approach (example)

Geneva, CERN, 13.8.2014

Electrons Ions

Source: [1] Liviu Constantin Penescu

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SLIDE 12

Original approach (results)

Geneva, CERN, 13.8.2014

Source: [1] Liviu Constantin Penescu

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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)

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SLIDE 14

Our model

  • How to calculate potential assuming space charge
  • f electrons?

Geneva, CERN, 13.8.2014

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SLIDE 15

Our model

  • What is typical shape of such

potential?

Geneva, CERN, 13.8.2014

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SLIDE 16

Our model

  • What is typical shape of such

potential?

Geneva, CERN, 13.8.2014

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SLIDE 17

Our model

  • How can we influence

these parameters?

Geneva, CERN, 13.8.2014

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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)

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SLIDE 19
  • Definition of beam radius „r“

Geneva, CERN, 13.8.2014

Our model

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SLIDE 20

Simulated data (MK7)

Geneva, CERN, 13.8.2014

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SLIDE 21

Simulated data (VADIS)

Geneva, CERN, 13.8.2014

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Potential minimum

Geneva, CERN, 13.8.2014

MK7 VADIS

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SLIDE 23

Geneva, CERN, 13.8.2014

MK7 VADIS Neck value

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SLIDE 24

Geneva, CERN, 13.8.2014

Potential minimum

MK7 vs. VADIS

Neck value

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SLIDE 25

Infinite charged cylinder?

Geneva, CERN, 13.8.2014

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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

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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?
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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!