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Ecole Polytechnique Fédérale de Lausanne (EPFL) Laboratoire d’Electromagnétisme et d’Acoustique (LEMA) P. O. Box ELB-Station 11 1015 Lausanne, Switzerland.

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Presentation on theme: "Ecole Polytechnique Fédérale de Lausanne (EPFL) Laboratoire d’Electromagnétisme et d’Acoustique (LEMA) P. O. Box ELB-Station 11 1015 Lausanne, Switzerland."— Presentation transcript:

1 Ecole Polytechnique Fédérale de Lausanne (EPFL) Laboratoire d’Electromagnétisme et d’Acoustique (LEMA) P. O. Box ELB-Station 11 1015 Lausanne, Switzerland Edén Sorolla & Michael Mattes e-Cloud workshop, CERN (Genève), 16th june 2011 Modelling microwave-electron interaction in the LHC

2 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC Outline 1.Framework (motivation) 2.Electromagnetic model (Radiated fields) 3.Results in the LHC beampipe 4.Next steps 2

3 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC Work developed under the Swiss National Science Foundation (SNSF) project FRAMEWORK CERN: (Organisation européenne pour la Recherche Nucléaire) LEMA: (Laboratoire d’Electromagnétisme et d’Acoustique) Juan R. Mosig Michael Mattes Edén Sorolla Frank Zimmermann SNF (contract no. 200021_129661) 3

4 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC FRAMEWORK LEMA has a solid expertise in numerical electromagnetics and integral equation Scattering parameters High power phenomena 4

5 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC FRAMEWORK (motivation) MAIN IDEA ELECTRON RADIATION (POWER SPECTRUM) DIAGNOSE Hi there! I’m an ELECTRON and I’m going to annoy you! 5

6 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC ELECTROMAGNETIC MODEL 6

7 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC General expressions of em. fields over the waveguide cross-section Electric and magnetic fields of the n-th mode ELECTROMAGNETIC MODEL (Propagation factor) 7 Dependency on (x,y)

8 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC ELECTROMAGNETIC MODEL Rectangular cavity MODES ARE ANALYTICAL 8

9 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC But we can use the trigonometric functions (modes of rectangular waveguide) as the basis set to develop the solutions for the beam pipe. ELECTROMAGNETIC MODEL Beam pipe BI-RME method (Boundary Integral-Resonant Mode Expansion) MODES ARE NON-ANALYTICAL!!! 9

10 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC POWER SPECTRUM Lossless waveguides Time-average (harmonic signals) Transversal component 10 Radiated power

11 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS Beam pipe 11

12 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS TE 1 12

13 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS TM 1 13

14 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS “Eight” pipe 14

15 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS TE 1 15

16 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS TE 2 16

17 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS TM 1 17

18 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS TM 2 18

19 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS Bone pipe 19

20 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS TE 1 20

21 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS TE 2 21

22 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS TM 1 22

23 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS TM 2 23

24 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS RECTANGULAR CAVITY 24 TE 10

25 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS POSITION SPEED 25 T.D. 5 ns

26 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC RESULTS RADIATED FIELD 26 200 MHz  5 ns

27 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC 27 NEXT STEPS * Combine BI-RME method to calculate the modes of the waveguides in LHC with e-Cloud. In the worst case BI-RME calculates in a second the fields for the LHC beam pipe in 10000 positions per electron; further improvements can still be done. * Implement the calculation of the radiated power spectrum of the electrons accelerated by the proton beam (alternatively an external RF field) using the ‘history’ of the electrons’ motion provided by e-Cloud.

28 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC 28

29 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC 29

30 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC 30

31 e-Cloud workshop, CERN (Genève), 16th june 2011 SNF (contract no. 200021_129661) – Modelling microwave-electron interaction in the LHC 31

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