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Page 1: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Novel Materials for Particle Acceleration and EM Wave Production

Prof. Rebecca Seviour

Royal Holloway

Page 2: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Page 3: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Page 4: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

𝒗𝒃𝒆𝒂𝒎 ≲ 𝒗𝒈Energy Transfer from Wave to Beam

𝒗𝒃𝒆𝒂𝒎 ≳ 𝒗𝒈Energy Transfer from Beam to Wave

Page 5: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Phase constant

Page 6: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Effective Media

Metamaterial - Pendry/Smith 1990- Veselago 1968

Page 7: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Effective Media

Kock 1940’s

Page 8: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Aleksey Tolstoy (1914)

Page 9: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Page 10: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

<< λ

Page 11: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

μ

ε

Page 12: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Page 13: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Page 14: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Page 15: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Wave propagation

Page 16: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

RFin RFout

Electron Beam

20

dm c γ e vdt

� E

20 1 0

dm c γ e vdt

� E

22 1

1 dγ γ2 dγ

' '

in

20

21

in

out

PeIcmΔγ

dγd

21

PΔP

1st order perturbation >> Spontaneous emission

2nd order perturbation >> Stimulated emission

Madey’s Theory

Lorentz's Force

Tan & Seviour, Europhys.Lett.87:34005,2009

Page 17: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Phase constantTan & Seviour, Europhys.Lett.87:34005,2009

Page 18: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

20

dm c γ e vdt

� E

20 1 0

dm c γ e vdt

� E

22 1

1 dγ γ2 dγ

' '

in

20

21

in

out

PeIcmΔγ

dγd

21

PΔP

1st order perturbation >> Spontaneous emission

2nd order perturbation >> Stimulated emission

Madey’s Theory

Lorentz's Force

Frequency [GHz]

X determined by wave/beam velocity,

X > 0 𝑣𝑏𝑒𝑎𝑚 < 𝑣𝑔

Tan & Seviour, Europhys.Lett.87:34005,2009

Page 19: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

E field 9.6 GHz π - Mode

Page 20: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

50 KeV upgrade to our existing electron system

Page 21: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Page 22: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Page 23: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Page 24: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Yiming Xu and Rebecca Seviour 2012 New J. Phys. 14 013014 doi:10.1088/1367-2630/14/1/013014

Page 25: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Yiming Xu and Rebecca Seviour 2012 New J. Phys. 14 013014 doi:10.1088/1367-2630/14/1/013014

Page 26: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Yiming Xu and Rebecca Seviour 2012 New J. Phys. 14 013014 doi:10.1088/1367-2630/14/1/013014

Page 27: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Page 28: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Page 29: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Page 30: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Page 31: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

1 pC, 10 ps short electron bunches,initial energy 16MeV, repetition frequency 3.429GHz

E B

Peak E field 46.8MV/m Peak B field 120.2 kA/m

acceleration gradient of 32MV/m

Page 32: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour

Page 33: Novel Materials for Particle Acceleration and EM Wave ...€¦ · Novel Materials for Particle Acceleration and EM Wave Production R. Seviour RF in RF out Electron Beam 2 0 d mc γev

Novel Materials for Particle Acceleration and EM Wave ProductionR. Seviour


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