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Separating dipolar and quadrupolar wakes with Mafia . Andreas Wagner (IT/IS) 8th SPS impedance informal meeting Wednesday 17/12/2008. Overview. Transverse Wakefield Properties Axially Symmetric Structures Non- Axially Symmetric Structures Numeric calculation of Wakefield components.

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separating dipolar and quadrupolar wakes with mafia

Separating dipolar and quadrupolar wakes with Mafia

Andreas Wagner (IT/IS) 8th SPS impedance informal meeting Wednesday 17/12/2008

overview
Overview
  • Transverse Wakefield Properties
    • Axially Symmetric Structures
    • Non- Axially Symmetric Structures
    • Numeric calculation of Wakefield components

Presentation title - 2

axial symmetric structures
Axial Symmetric Structures
  • Pillbox cavaity

Presentation title - 3

axial symmetric structures1
Axial Symmetric Structures
  • Energy Loss vs beam offset

Presentation title - 4

axial symmetric structures2
Axial Symmetric Structures
  • Magnitude of wake field depends on displacement of source charge and is independent of test charge position !

Presentation title - 5

axial symmetric structures3
Axial Symmetric Structures
  • Transverse kicks vs test charge position

Presentation title - 6

non axially symmetric structures
Non-axially-symmetric structures
  • Elliptic Model of LEP Shielded bellows

Presentation title - 7

non axially symmetric structures1
Non-axially-symmetric structures
  • Elliptic Model of LEP Shielded bellows

Presentation title - 8

non axially symmetric structures2
Non-axially-symmetric structures
  • Transverse kicks vs test charge position

Presentation title - 9

non axially symmetric structures3
Non-axially-symmetric structures
  • Generalized Impedance

Presentation title - 10

non axially symmetric structures4
Non-axially-symmetric structures
  • Transverse kicks for on axis beam:
  • Ansatz: Subtract this wake for beams with finite offset !

Presentation title - 11

non axially symmetric structures5
Non-axially-symmetric structures
  • Transverse kicks vs test charge position minus contribution of on-axis beam

Presentation title - 12

non axially symmetric structures6
Non-axially-symmetric structures
  • The major difference to axially symmetric structures is this offset dependent "quadrupolar“ wake potential acting on a trailing particle:

Presentation title - 13

non axially symmetric structures7
Non-axially-symmetric structures
  • Electrostatic Separators

Presentation title - 14

non axially symmetric structures8
Non-axially-symmetric structures
  • Electrostatic Separators

Presentation title - 15

non axially symmetric structures9
Non-axially-symmetric structures
  • Transverse kicks vs test charge position

Presentation title - 16

non axially symmetric structures10
Non-axially-symmetric structures
  • Transverse kicks vs test charge position minus contribution of on-axis beam

Presentation title - 17

calculation of quadrupolar wakes
Calculation of “Quadrupolar Wakes”
  • Separating dipolar and quadrupolar wakes with Mafia/GdfidL ...
    • Calculation with on-axis source charge to obtain “quadrupolar” wake component
    • Calculation with displaced source charge distribution; substraction of “quadrupolar” component yields the “dipol”wake

Presentation title - 18

wakes in non axially symmetric structures
Wakes in non-axially-symmetric structures
  •  To describe a non-axially-symmetric structure one needs typically 4 transverse wake tables

Presentation title - 19

slide20

Thank you for your attention !

  • Questions ?

Presentation title - 20

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