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European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25 th Sep 29 th , 2017 | Dr. Alexander Debus Traveling-Wave Electron Acceleration Beyond the dephasing and depletion limits of laser-wakefield acceleration 1 Helmholtz-Zentrum Dresden Rossendorf , 2 Technische Universität Dresden Alexander Debus 1 , Richard Pausch 1,2 , Axel Hübl 1,2 , Klaus Steiniger 1,2 , René Widera 1 , Ulrich Schramm 1,2 , Thomas E. Cowan 1,2 and Michael Bussmann 1
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Page 1: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

Traveling-Wave Electron Acceleration

Beyond the dephasing and depletion limits

of laser-wakefield acceleration

1 Helmholtz-Zentrum Dresden – Rossendorf , 2 Technische Universität Dresden

Alexander Debus1, Richard Pausch1,2, Axel Hübl1,2, Klaus Steiniger1,2,

René Widera1, Ulrich Schramm1,2, Thomas E. Cowan1,2 and Michael Bussmann1

Page 2: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 2 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

What keeps Laser-wakefield acceleration from

electron energies beyond 10 GeV?

Dephasing limit

Laser propagates below vacuum speed of light,

so accelerated electrons outrun wakefield

Self-phase modulation

and laser pump depletion

Staging is hard!

Synchronization, Beam size

matching, Laser in/outcoupling,

emittance growth in beam

transport, etc.

Laser pulse guiding

Extended distances at low densities

What about Plasma-wakefield

accelerators?

Another accelerator required,

energy gain limited by transformer ratio,

beam-instabilities.

Page 3: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 3 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

Pulse-front tilted laser enforces

vacuum speed of light propagation

of laser overlap in plasma.

Oblique laser beam geometry

continuously feeds a „fresh“ portion

of the laser beams into an

unperturbed plasma.

Traveling-Wave Electron Acceleration

(TWEAC)

α = Φ/2 vg ≡ c

L(accelerator) > L(depletion length)

is fine, as long

L(field cycling length) < L(depletion length)

field cycling length

gas jet

slit nozzle

Page 4: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 4 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

TWEAC geometry in a nutshell

1.) An extended gas slit nozzle defines

a line focus axis for cylindrical optics.

Page 5: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 5 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

TWEAC geometry in a nutshell

2.) A first, obliquely incident ultrashort laser pulse

with a carefully tuned pulse-front tilt creates a comoving focus.

Page 6: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 6 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

TWEAC geometry in a nutshell

3.) A second, symmetric laser pulse

overlaps with the first laser.

Page 7: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 7 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

TWEAC geometry in a nutshell

4.) The laser overlap drives a wakefield

moving with the vacuum speed of light.

Page 8: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 8 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

TWEAC type lasers are experimentally feasible

using standard optics

Pulse synthesis using two-grating setups

provides tunability by varying pulse-front tilt.

K. Steiniger et al., J. Phys. B 47 (2014) 23, 234011

A. Debus et al., Appl. Phys. B 100 (2010) 1, 61

K. Steiniger et al., “Building an Optical Free-Electron Laser in the Traveling-Wave Thomson-Scattering Geometry“,

to be published

Optical setups for TWEAC are similar to

Traveling-Wave Thomson-Scattering

Traveling-Wave Thomson-Scattering aims for

High photon yields per shot, low bandwidths, tunablitity and all-optical FELs

Poster (Wednesday): A. Debus, K. Steiniger et al.

Laser pulses for Traveling-Wave Electron Acceleration

and Thomson Scattering

Page 9: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 9 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

Field strengths of plasma

cavity and focusing fields

are comparable to LWFA.

V-shaped cavity profile

in the plane of

laser propagation.

Existance of side cavities.

At constant density

self-injection is absent.

Simulate TWEAC

using

a0=3.5 each arm ; a0 = 7.0 in overlap

Φ=60°; ne=6.4 ∙ 1018 cm-3 ; τ=10fs (FWHM)

PIConGPU is Open Source

Download at picongpu.hzdr.de

Page 10: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 10 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

TWEAC eliminates the dephasing and depletion limit.

LWFA TWEAC

After injection

Page 11: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 11 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

TWEAC eliminates the dephasing and depletion limit.

LWFA TWEAC

After 50% dephasing length

Page 12: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 12 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

TWEAC eliminates the dephasing and depletion limit.

LWFA TWEAC

After 75% dephasing length

Page 13: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 13 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

TWEAC eliminates the dephasing and depletion limit.

LWFA TWEAC

After 100% dephasing length

Page 14: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 14 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

TWEAC eliminates the dephasing and depletion limit.

LWFA TWEAC

After 175% dephasing length

Page 15: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 15 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

12.5 mm total plasma length

TWEAC mean electron electron energy evolves

linear with acceleration distance.

177 pC

bunch

charge

Page 16: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 16 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

TWEAC maintains quasi-static plasma conditions.

de

ple

tio

n

de

ph

as

ing

TWEAC accelerator length can be made longer

without dephasing or depletion.

Page 17: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 17 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

same laser energy

How does TWEAC scale in laser energy?

Low incidence angles

reduce required laser energy,

provided that

where

is independent of the total

interaction distance .

At injection

Page 18: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 18 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

How does TWEAC scale in laser energy?

LWFA scaling based on

C. B. Schroeder et al., Phys. Rev. Spec. Top. - Accel. Beams 13, 101301 (2010).

Paper submitted

A. Debus et al., „Breaking the dephasing and depletion limits of laser-wakefield acceleration“

ELI type lasers

could reach the

energy frontier

Low-power

high-rep.

lasers

Page 19: Traveling-Wave Electron Acceleration · European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus Field strengths of plasma

Mitglied der Helmholtz-Gemeinschaft Page 19 European Advanced Accelerator Concepts Workshop | Elba, Italy | Sep 25th – Sep 29th, 2017 | Dr. Alexander Debus

Conclusions

Traveling-wave electron acceleration (TWEAC)

• Eliminates the LWFA dephasing and depletion limits.

• Quasi-static plasma conditions without (parasitic) self-injection.

• No laser self-phase modulation along direction of electron

acceleration.

• Can in principle be arbitrarily extended in a single stage

up to the energy frontier.

Paper submitted

A. Debus et al., „Breaking the dephasing and depletion limits

of laser-wakefield acceleration“

Thank you for your attention!


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