Summary of High Brightness Beams Workshop Erice 2005 G. A. Krafft - - PowerPoint PPT Presentation

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Summary of High Brightness Beams Workshop Erice 2005 G. A. Krafft - - PowerPoint PPT Presentation

Summary of High Brightness Beams Workshop Erice 2005 G. A. Krafft Jefferson Lab Applications of High Brightness Beams: Energy Recovered Linacs G. A. Krafft Jefferson Lab Erice 2005 HBB Workshop 11 October 2005 Operated by the Southeastern


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SLIDE 1

Summary of High Brightness Beams Workshop Erice 2005

  • G. A. Krafft

Jefferson Lab

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SLIDE 2

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Applications of High Brightness Beams: Energy Recovered Linacs

  • G. A. Krafft

Jefferson Lab

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SLIDE 3

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

The SCA/FEL Energy Recovery Experiment

  • Same-cell energy recovery was first demonstrated in a superconducting linac at the

SCA/FEL in July 1986

  • Beam was injected at 5 MeV into a ~50 MeV linac (up to 95 MeV in 2 passes),

150 µA average current (12.5 pC per bunch at 11.8 MHz)

  • The Recyclotron beam recirculation system could be not used to produce the peak

current required for lasing and was replaced by a doubly achromatic single-turn recirculation line.

  • Nearly all the energy was recovered. No FEL inside the recirculation loop.
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SLIDE 4

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

DC photoinjectors DC photoinjectors

  • High repetition rate up to 75 MHz
  • εN,rms~ 7-15 mm-mrad for q ~ 60 –135 pC/bunch

(measured at the wiggler)

  • Average current up to 9 mA
  • Cathode voltage: 350 – 500 kV

State-of-the-art: JLAB FEL gun

  • JLab: 500 kV, 75 MHz, 10 mA
  • JLab/AES: 750 MHz, 100 mA
  • Daresbury ERLP: Duplicate of JLab FEL gun, 6.5 mA
  • Cornell: 500 – 750 kV, 100 mA, 77pC/bunch, 1.3 GHz,

εN,rms~ 0.1 mm-mrad

Planned DC Photoinjectors

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SLIDE 5

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

RF photoinjectors RF photoinjectors

  • Repetition rate 433 MHz at 25% DF
  • Average current 32 mA

State-of-the-art: Boeing gun Planned RF Photoinjectors

LANL/AES: 700 MHz,100 mA To date RF guns have produced best normalized emittances: εN,rms~ 1 µm at q ~ 0.1 – 1 nC , but at relatively low rep rate (10-100 Hz) Challenge: Balance high gradient (low emittance) with high rep rate (thermal effects)

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SLIDE 6

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

SRF photoinjectors SRF photoinjectors

High CW RF fields possible

Significant R&D required

Rossendorf proof of principle experiment: 1.3 GHz, 10 MeV 77 pC at 13 MHz and 1 nC at < 1 MHz BNL/AES/JLAB development: 1.3 GHz ½-cell Nb cavity at 2K Test diamond amplified cathode AES/BNL development: 703.75 MHz ½-cell Nb photoinjector

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SLIDE 7

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Hybrid Guns Hybrid Guns

.

LANL NC 1 ½-cell + SRF cells

.

University of Peking DC + SRF gun

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SLIDE 8

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

TESLA XFEL ERL

Performance Goals for SASE FEL Radiation at the DESY XFEL Photon energy 12.4 – 0.2 keV Photon wavelength 0.1 – 6.4 nm Peak power 24 – 135 GW Average power 66 – 800 W # photons/ pulse 1 – 430 x 1012 Peak brilliance 5.4 – 0.6 x 1033 ** Average brilliance 1.6 – 0.3 x 1025 ** ** in units of photons / (s mrad2 mm2 0.1% b.w.)

Proposed ER operation would have a rep rate of 1 MHz instead of DESY XFEL rep rate of 10 Hz, increasing the average power and brilliance by a factor of 105

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SLIDE 9

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

CHESS / LEPP CHESS / LEPP

ERL X-ray Source Conceptual Layout

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SLIDE 10

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Why ERLs for X-rays?

ESRF 6 GeV @ 200 mA

εx = 4 nm mrad εy = 0.02 nm mrad B ~ 1020 ph/s/mm2/mrad2/0.1%BW LID = 5 m

ERL 5 GeV @ 10-100 mA

εx = εy → 0.01 nm mrad B ~ 1023 ph/s/mm2/mrad2/0.1%BW LID = 25 m

ESRF ERL (no compression) ERL (w/ compression) t

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SLIDE 11

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Brilliance Scaling and Optimization

.

For 8 keV photons, 25 m undulator, and 1 micron normalized emittance, X-ray source brilliance

.

For any power law dependence on charge-per-bunch, Q, the optimum is

.

If the “space charge/wake” generated emittance exceeds the thermal emittance εth from whatever source, you’ve already lost the game!

.

BEST BRILLIANCE AT LOW CHARGES, once a given design and bunch length is chosen!

.

Unfortunately, best flux at high charge

p th

AQ fQ I B + = ∝

2 2

ε ε

( )

1 /

2

− ≈ p AQ

th p

ε

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SLIDE 12

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

ERL Source Sample Parameters ERL Source Sample Parameters

Parameter Value Unit Beam Energy 5-7 GeV Average Current 100 / 10 mA Fundamental frequency 1.3 GHz Charge per bunch 77 / 8 pC Injection Energy 10 MeV Normalized emittance 2 / 0.2* µm Energy spread 0.02-0.3 % Bunch length in IDs 0.1-2* ps Total radiated power 400 kW

* rms values

*

CHESS / LEPP CHESS / LEPP

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SLIDE 13

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Cornell ERL Phase I: Injector

Beam Energy Range 5 – 15a MeV Max Average Beam Current 100 mA Max Bunch Rep. Rate @ 77 pC 1.3 GHz Transverse Emittance, rms (norm.) < 1b µm Bunch Length, rms 2.1 ps Energy Spread, rms 0.2 %

a at reduced average current b corresponds to 77 pC/bunch

Injector Parameters:

CHESS / LEPP CHESS / LEPP

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SLIDE 14

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Beyond the space charge limit Beyond the space charge limit

Courtesy of I. Bazarov Courtesy of I. Bazarov

0.1 mm 0.1 mm-

  • mrad

mrad, 80 , 80 pC pC, 3ps , 3ps

500-750 kV DC Photoemission Gun

Buncher Solenoids 2-cell SRF cavities Merger dipoles into ERL linac

Cornell ERL Prototype Cornell ERL Prototype Injector Layout Injector Layout

injector optimizations at 80 pC

0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 bunch length (mm) emittance (mm-mrad)

Injector optimization Injector optimization

CHESS / LEPP CHESS / LEPP

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SLIDE 15

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Sinclair Points

  • Emittance compensation is effective in reducing the emittance from DC guns too.

The computer designs of the Cornell ERL source require its application to achieve the best beam parameters.

  • Thermal emittance matters, even at high charge. Starting with the best possible

thermal emittance, as may be extracted from GaAs photocathodes (photoelectrons are thermalized before being emitted), may be preferred.

  • You don't need infinite voltage or cathode gradient to get decent performance from a

DC gun.

  • First beam, optimistically, by the end of the year.
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SLIDE 16

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Conceptual layout of 4GLS

590 MeV Linac 600 MeV 750 MeV Matching + Diagnostics

1 GeV Dump (1nC, 1kHz, ~1 kW)

BC 2 XUV-FEL

Spent Beam Undulator

Seed Laser

Visible

160 MeV

FEL Gun BC 1 3rd Harm. IRFEL (~50 MeV) THz Source

Photon diagnostics & Filtering

High average current VUV-FEL Spontaneous Sources and beam optics/compression High bunch charge

200 MeV 50

Bending magnet Source

CW Gun (10 MeV) 10 MeV Dump (~1MW) 750 - 950 MeV

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SLIDE 17

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

End arc

Daresbury: ERL Prototype

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SLIDE 18

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Daresbury: ERL Prototype

Output Light Parameters Goal Wavelength range (microns) 3-10 Bunch length (FWHM psec) 1.5 Laser energy/ pulse (µ Joules) 9 Macropulse average laser power (kW) 0.7

  • Rep. Rate (MHz)

81.25 Macropulse length @20 Hz rep rate (µsec) 100 Electron Beam Parameters Goal Energy (MeV) 30-50 Accelerator frequency (MHz) 1300 Charge per bunch (pC) >80 Average current (µA) 13 Peak Current (A) 53 Beam Power (kW) 0.455

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SLIDE 19

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

ERLs ERLs in High Energy and Nuclear Physics in High Energy and Nuclear Physics

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SLIDE 20

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Electron Cooling Electron Cooling

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SLIDE 21

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

ERL ERL-

  • Based Electron Cooler

Based Electron Cooler

RHIC electron cooler is based

  • n a 200 mA, 55 MeV ERL

20 nC per bunch, 9.4 MHz

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SLIDE 22

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

BNL ERL R&D Facility BNL ERL R&D Facility

Cryo-module e- 15-20 MeV 1 MW 700 MHz Klystron Klystron PS SC RF Gun e- 4-5MeV e- 4-5 MeV Beam dump 50 kW 700 MHz system SRF cavity

Magnets, vacuum

Vacuum system

Controls & Diagnostics

Laser

Phase adjustment chicane

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SLIDE 23

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

ERL Under construction

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SLIDE 24

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Cryomodule Design

2K main line Inner magnetic shield Cavity assembly 4” RF shielded gate valve 2K fill line He vessel Vacuum vessel Fundamental Power Coupler assembly HOM ferrite assembly Outer magnetic shield Thermal shield Tuner location Space frame support structure Vacuum vessel

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SLIDE 25

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Superconducting RF gun under development

703.75 MHz gun. 2x0.5 MW input couplers. HOM damping thru beam tube. Various cathode schemes, including encapsulated cathode behind diamond window – isolation cathode ↔ gun. CW performance 0.5 ampere @ 2 MeV.

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SLIDE 26

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Two Proposed Electron Two Proposed Electron-

  • Ion Colliders

Ion Colliders

ELIC eRHIC

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SLIDE 27

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

eRHIC eRHIC

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SLIDE 28

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Ion Linac and pre-booster

IR IR

Beam Dump Snake CEBAF with Energy Recovery 3-7 GeV electrons 30- 150 GeV light ions Solenoid Ion Linac and pre-booster

IR IR

Beam Dump Snake CEBAF with Energy Recovery 3-7 GeV electrons 30- 150 GeV light ions Solenoid Ion Linac and pre-booster

IR IR

Beam Dump Snake CEBAF with Energy Recovery 3-7 GeV electrons 30-150 GeV light ions Solenoid Electron Injector E l e c t r

  • n

C

  • l

i n g

ELIC Design ELIC Design

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SLIDE 29

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Circulator Ring Circulator Ring

J t

Circulator Ring Injector

J t

1/fc C

CR/c

f ~100 C

CR/c

f

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SLIDE 30

Operated by the Southeastern Universities Research Association for the U. S. Department of Energy

Thomas Jefferson National Accelerator Facility

11 October 2005 Erice 2005 HBB Workshop

Summary Summary

  • ERLs provide a powerful and elegant paradigm for high average power free electron

lasers.

  • The pioneering ERL FELs have established the fundamental principles of ERLs.
  • The multitude of ERL projects and proposals worldwide promises an exciting next

decade as:

.

Three currently operating ERL-FELs will reach higher performance

.

At least five more ERLs are in serious planning stages and will likely be constructed

.

New advanced concepts are being explored; most of the applications need high average brightness beams

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SLIDE 31

Needle cathodes for high-brightness beams

Chase Boulware Jonathan Jarvis Heather Andrews Charlie Brau

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SLIDE 32

Outline of the talk

  • What is brightness?

– Definition – Sources

  • Why is brightness important?

– Light sources – FELs

  • How do we get high brightness?

– Photoemission – Field emission – Photofield emission

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SLIDE 33

Definition of brightness

  • Emittance is

– π-1 x area in phase space (old definition) – Or, weighted average over beam (rms emittance)

  • Brightness is

– Density in transverse phase space – Local property of beam

( )

2 2 2 2 2

1 4

N N

d I B d dA I rms γ β π ε ≡ Ω ≈

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SLIDE 34

Electron sources span many orders of magnitude in brightness and current

1.E+07 1.E+08 1.E+09 1.E+10 1.E+11 1.E+12 1.E+13 1.E+14 1.E+15 1.E+16 1.E+17 1.E+18 1.E+19 1.E-07 1.E-05 1.E-03 1.E-01 1.E+01 1.E+03

Current (A) Brightness (A/m2-steradian)

RF photoinjectors Storage rings Field emission Thermionic emission DC photo gun Needle photo emission Nanotubes Photo-field emission

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SLIDE 35

Why brightness is more important than current

  • Brightness is a useful figure of merit

– Normalized brightness is roughly invariant with respect to beam current, electron energy – Can be used to compare different devices

  • Often it’s the most important parameter

– When brightness is the most important parameter, lower current may be possible – Lower current reduces other problems, including radiation, halo, CSR, space charge

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SLIDE 36

Spectral brilliance of Compton x-rays depends on brightness, not current

  • For small emittance

spectral brilliance is

2 2

2

T L N e L

U B B hqc

ν

πσ γ τ τ = + ( )/

N L e

c ε τ τ γ << +

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SLIDE 37

High electric fields at the surface enhance cathode performance

  • High electric fields:

– Conventional DC guns ~ 106 V/m – Conventional RF guns ~ 107 - 108 V/m – Needle cathodes ~ 109 – 1010 V/m

  • Enhanced performance due to

– Schottky effect on photoemission – Field emission – Photo-field emission – Reduced space-charge effects

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SLIDE 38

Thermionic Thermionic Emission Emission

Electron emission at the surface of a metal in vacuum occurs by four mechanisms

Metal | Vacuum Fermi Level Energy φ Photoelectric Photoelectric Emission Emission Field Emission Field Emission Photo Photo-

  • field

field Emission Emission

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SLIDE 39

Schottky effect reduces surface barrier at high electric field

  • Field is enhanced at

tip of needle

  • Schottky effect lowers

barrier at surface

( ) ( )

tip tip 9 10

/ 10 10 V/m E O V R O = = −

( )

9

/ 4 1 eV @ 10 V/m E eE O πε ∆ = =

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SLIDE 40

Needle cathodes produce high brightness in RF guns*

* Lewellen, Sardegna

  • Field at cathode enhanced by
  • Example:

– 1 mm diameter, 1 cm long – E0 = 50 MV/m – Etip = O(500 MV/m)

  • Space-charge limit ~ 108 A/m2
  • Brightness ~ 1013 A/m2-str

– before pulse compression!

tip needle tip

E L O E R ⎛ ⎞ = ⎜ ⎟ ⎜ ⎟ ⎝ ⎠

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SLIDE 41

Conclusions

  • High brightness is often more important

than high current

  • Needle cathodes operate at high electric

fields (109 – 1010 V/m)

– Enhanced emission from cathode – Reduced space-charge effects

  • Interesting physical effects are found at

high electric fields

– Field-enhanced photoemission (Schottky) – Photo-enhanced field emission (tunneling)

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SLIDE 42

Conclusions

  • High brightness is often more important

than high current

  • Needle cathodes operate at high electric

fields (109 – 1010 V/m)

– Enhanced emission from cathode – Reduced space-charge effects

  • Interesting physical effects are found at

high electric fields

– Field-enhanced photoemission (Schottky) – Photo-enhanced field emission (tunneling)

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SLIDE 43
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SLIDE 44
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SLIDE 45
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SLIDE 46
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SLIDE 47
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SLIDE 48
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SLIDE 49
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SLIDE 50
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SLIDE 51
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SLIDE 52
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SLIDE 53
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SLIDE 54

A split rf-photoinjector

Bas van der Geer

Marieke de Loos Jom Luiten Marnix van der Wiel

Eindhoven University

  • f Technology

Erice 10 October 2005

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SLIDE 55

2

mc Q B k T A π τ

⊥ ≤

Source brightness

Options (at fixed Q):

  • Lower Temperature T

Ultra Cold Plasma cathode Jom Luiten

  • Reduce Surface area A

Carbon Nanotubes Needle cathodes …

  • Reduce Pulse duration t

Pancake regime

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SLIDE 56

The problem is not the high space charge density ...

Gaussian bunch

Brightness degradation

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SLIDE 57

Brightness degradation

px x Gaussian bunch

Space charge forces:

  • Non-linear
  • Slice-dependent

... the real problem is the space charge density distribution.

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SLIDE 58

px x Gaussian bunch

1989 - 2003

Fighting the symptoms:

  • Emittance compensation (B. Carlsten)
  • Optimized transverse profile (L. Serafini)
  • Uniform temporal & radial profile (DESY,...)
  • ...
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SLIDE 59

Gaussian bunch Waterbag bunch px x

Space charge forces:

  • Non-linear
  • Slice-dependent

Space charge forces:

  • Linear
  • Slice-independent

Thermal-emittance-limited beam!

2004: Fundamental solution

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SLIDE 60

History of uniformly charged ellipsoids

  • Uniformly charged ellipsoids:

– Have linear fields in all three coordinates

  • O. D. Kellogg, Foundations of Potential Theory (Springer-Verlag, 1929).

– Only change aspect ratio under gravity self-fields (astrophysics)

C.C. Lin et al., Astrophys. J. 142, 1431 (1965).

– Extensively used for modeling purposes in accelerator physics

  • Source of inspiration: Transverse laser shaping, short bunches
  • L. Serafini, AIP Conf. Proc. 413, 321 (1997)
  • Fundamental solution and practical recipe

O.J. Luiten, S.B. van der Geer et al, PRL 094802, (2004). O.J. Luiten, S.B. van der Geer et al, EPAC (2004).

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SLIDE 61

x y Ideal Laser intensity

Waterbag bunch recipe

Femtosecond photoexcitation of pancake bunch

  • ‘half-sphere’ transverse laser intensity profile
  • Temporal laser profile is irrelevant

Automatic evolution into 3-D, uniform ellipsoid

1 mm

radius

Measured Laser intensity TU/e 2005 Variable ND filter

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SLIDE 62

First confirmation from GPT simulations

How to Realize Uniform Three-Dimensional Ellipsoidal Electron Bunches O.J. Luiten, S.B. van der Geer et al, PRL 094802, (2004).

GPT

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SLIDE 63

Waterbag bunches, 100 MV/m, 3 GHz, 10 MW

pz z pz z pz z

½ cell 2 cell booster / compressor 0.4 m 1.1 m

1.2 MeV 3.5 MeV

Split rf-photoinjector

?

solenoids fs laser

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SLIDE 64

Modeling issues

Tracking with GPT:

  • High-resolution field-maps, no truncated power series
  • No envelope / paraxial assumptions
  • 3D space-charge with image charges on cathode

Solenoids:

  • Analytical expressions
  • Final design: SF-Fields

Cavities:

  • Ez(z,r) is a function of r!
  • SF field-maps

Axial incoupling: DESY Elliptical irises: Strathclyde

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SLIDE 65

RF-cavities

3 GHz, 100 MV/m

  • Axial incoupling (DESY)
  • Elliptical irises (strathclyde)
  • µm precise design (Marieke de Loos)

2.625 Fred Kiewiet (Eindhoven) 2.5 Terry Garvey (LAL) / Dino Jaroszynski (Strathclyde) 2.6 Seth Brussaard (Eindhoven) 1.5 Jom Luiten (Eindhoven)

50 60 70 80 90 100

GPT

z [mm]

10 20 30 40

R [mm]

60 70 80 90 100 110

GPT

z [mm]

10 20 30 40

R [mm]

Elliptical Circular

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SLIDE 66
  • 0.4
  • 0.2

0.0 0.2 0.4

GPT

x [mm]

  • 0.010
  • 0.005

0.000 0.005 0.010

vx/c

  • 100
  • 50

50 100

GPT

z [micron]

200 400 600 800

Current [A]

Optimize for 6D brightness

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8

GPT

z [m]

100 200 500 1000 2000

RMS spot-size [micron]

140 µm rms spot size 100 fs FWHM 700 A ε=0.7 µm

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SLIDE 67

Conclusion: Reached our goal

  • Develop compact high-brightness rf-photogun

– Using waterbag concept – Established 100 MV/m S-band technology

  • Parameters

Reached – Peak current: 700 A – Emittance: 0.7 µm 1.4 kA/µm2 – Energy: 3.5 MeV – Pulse length: 120 fs rms – Spot size: 140 µm rms – Energy spread: 40 keV rms

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SLIDE 68

Observation of Ultra-Wide Bandwidth SASE FEL

Gerard Andonian

Particle Beam Physics Laboratory University of California Los Angeles

The Physics and Applications of High Brightness Electron Beams Erice, Sicily, October 9-14, 2005

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SLIDE 69

Collaboration

  • UCLA

– G. Andonian, A. Murokh, C. Pellegrini, S. Reiche, J. Rosenzweig, G. Travish

  • BNL-ATF

– M. Babzien, I. Ben-Zvi, J. Huang, V. Litvinenko, V. Yakimenko

  • INFN-LNF

– M. Ferrario, L. Palumbo, C. Vicario

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SLIDE 70

Outline

  • Experiment Description
  • VISA I Summary
  • VISA IB Experiment

– Results – Analysis (Start-to-end) – Double Differential Spectrometer

  • VISA II
  • Seeded Amplifier Experiment
  • Conclusions
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SLIDE 71

Motivation

  • Proposed Scheme for ultra short pulses

– Energy chirped e-beam FEL freq. chirped radiation

  • Explore Limits of SASE FEL with energy chirped e-beam
  • Develop advanced beam manipulation techniques & measurements

b

l L δγ α γ = 2 2

b

l L δω δγ α ω γ = ฀

Energy chirped e-beam

  • Freq. chirped radiation output
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SLIDE 72

Experiment Layout

Undulator type Planar (NdFeB) Number of periods (Nu) 220 Peak field (Bpk) .75 T Undulator Period (λu) 1.8 cm Gap (g) 6 mm Undulator Parameter (K) 1.26

VISA Undulator Parameters

  • Accelerator Test Facility (ATF) at BNL

– Host for VISA I & II – 70 MeV beam – 28 m beam transport

  • 20 deg bend (F-line)
  • Undulator

– 4 x 1m sections – FODO lattice superimposed (25 cm period) –strong focusing – External steering coils (8) – Intra-undulator diagnostics

  • 50 cm apart
  • double-sided silicon
  • SASE FEL
  • e-beam (OTR)
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SLIDE 73

VISA I Summary

  • Results

– Gain ~ 108 due to nonlinear compression in dog-leg (F-line) – Shortest gain length recorded in NIR (~ 18 cm) – Higher order angular spectra – CTR & Higher Harmonic Gain

  • Start to End Simulation Suite

– UCLA Parmela – Elegant – Genesis

  • Codes Benchmarked to measurements

– Post linac, post-dogleg, FEL Far-field radiation pattern (angular spectrum): measured (left), simulation (right)

6 mrad 6 mrad

VISA I Gain Curve

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SLIDE 74

VISA IB: Experiment

  • High gain FEL

– Chirped beam amplification – SASE energy ~2 µJ – close to saturation

  • Up to 15% bandwidth observed
  • Very reproducible and unusually stable

– insensitive to RF drifts and phase jitter

  • Characteristic double-spike structure

Wavelength Spectrum of FEL at VISA measured with Ocean Optics USB2000 Spectrometer.

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SLIDE 75

VISA IB: Experiment

e-beam at HES a) fully closed slits (500 pC, 2.8% chirp) b) fully open slits (60 % Transmission, 330pC)

  • High energy slits (HES)
  • adjustable collimator
  • Controls beam size in F-line
  • FEL stability
  • same fraction of beam propagates

through HES, regardless of centroid jitter

  • Compression
  • monitored by Golay cell
  • measures CTR
  • CTR peaked when p0 set to
  • ptimize compression
  • Current ~ 300A
  • Compression stronger
  • higher degree of chirp
slide-76
SLIDE 76

VISA IB: Analysis

  • Start-to-End

– Experimental Spectrum features reproduced – Angles Important

  • Off-axis Doppler Shift

FEL output Spectrum reproduced by Genesis (~11% bandwidth)

( )

2 2 2

1 1 2 2

u r

K λ λ γθ γ ⎛ ⎞ = + + ⎜ ⎟ ⎝ ⎠

slide-77
SLIDE 77

VISA IB: Analysis

  • Linear chirp applied at linac
  • Compression in dogleg

– Portion of beam is always in “correct” comp. regime – Collimation ~40% (300 pC) – Benchmarked to data taken in F-line

  • Leads to off-axis injection of compressed core
  • High Current

– I ~ 300 A – Better than VISA I

slide-78
SLIDE 78

Double Differential Spectrum

  • Double Differential Spectrum (DDS)

– Unfolds correlation between angle (slits) and frequency (gratings) – Preliminary setup

  • improvements coming
  • calibration lamp
  • graduated slits

Double differential spectrum: Experimental Setup

2

d I d d ω Ω

ω θ

ω θ

Genesis Simulation of DDS for VISA IB running conditions

  • DDS measurement at VISA .
  • Doppler Pattern observed
  • Higher bandwidth – complex forms
  • Rich spectral structures
slide-79
SLIDE 79

VISA II

  • Energy chirp SASE FEL operation

– linearize transport

  • Sextupole correction in F-line
  • Running Conditions

– Back of crest acceleration – Negative R56 compression – 70% Transmission

  • Start-to-end Simulations

– High Current – Low Emittance – High gain FEL

  • Frequency chirped radiation
  • Modified FROG

Longitudinal Phase Space for VISA II Case post linac (above) and pre-undulator (below).

slide-80
SLIDE 80

Compression Studies at the ATF with the UCLA-BNL Chicane

Gerard Andonian

Particle Beam Physics Laboratory University of California Los Angeles

The Physics and Applications of High Brightness Electron Beams Erice, Sicily October 9-14, 2005

slide-81
SLIDE 81

Outline

  • Motivation
  • Technical Specifications
  • Coherent Transition Radiation (CTR)

– Recent Data

  • Coherent Edge Radiation (CER)

– Theory overview – Simulations – Preliminary Results

  • Outlook
slide-82
SLIDE 82

Motivation

  • Generation of compressed sub-micron beams

– Study radiative effects (CSR, CER) emitted from short beams – Continue UCLA Neptune compressor physics studies in acceleration field dominated regime (space charge -> coherent radiation) – May greatly impact performance of future compressors and FELs (e.g. microbunching instability) – Use CER as non-destructive bunch length monitor

Parmela-Elegant simulation longitudinal phase space of beam, with compression from 50A to 1.5 kA.

slide-83
SLIDE 83

Compressor

  • Designed and Constructed at UCLA

– Modeled with Amperes – Engineering + safety concerns addressed by ATF

  • Installed and operational at ATF

– Add to ATF core capabilities – Compress from 350 µm – 20 µm

  • Extensive Simulation work

– TREDI, Field-Eye, Parmela, Elegant

slide-84
SLIDE 84

CTR Measurement

  • Michelson Interferometer

– Commercial Product – Compact Footprint – Convenient Alignment – Resolution : 10 µm – 1.5 mm (rms)

  • Observe CTR from insertable foil

– Golay Cell detectors – Autocorrelation

  • UCLA time-domain methods (fitting) and

data acquisition

slide-85
SLIDE 85

CTR Data

  • Recent CTR data

– Beam core compression not strongly dependent on phase

  • UCLA Fitting technique
  • σ = 27 µm (rms)
  • Use double Gaussian

– Reproduces expected pulse shape (ramped with tail)

100 200 300 400 600 700 800 900 1000 g

0.2 0.4 0.6 0.8 1 1.2 50 100 150 200 250 300 350 400

  • 17 deg
  • 20 deg
  • 23 deg
  • 26 deg
  • 29 deg
  • 32 deg

C0+ C1ExpA

  • H

x- dL

2

4s2 E

+ C2ExpA

  • H

x- dL

2

4 H

s2 + z2L

E

+C3ExpA

  • H

x- dL

2

4H

s2+ 2z2L

E

1500 1000 500 500 1000 500 500 1000 I s ( ) Ip ⋅ I1 s ( ) Ip ⋅ s

slide-86
SLIDE 86

CER Experiment

  • Radiation collected from boundary

region of dipoles 3-4 – 7 m transport

  • New regime for Edge Radiation

– <50 micron wavelength

  • Cold Bolometer

– 4.2 K Si bolometer (IR Labs)

slide-87
SLIDE 87

CER Overview

  • Comparison to CSR

– Not well distinguished from CSR at short wavelengths – Like CTR at long wavelengths – Radial polarization

Chubard, Smolyakov, J. Optics 24 (1993) 117 CER CSR

  • CER calculations

– Modeling with :

  • Semi-analytical
  • Field-Eye
slide-88
SLIDE 88

CER Results

  • CTR+CER as a function of rf phase

– Max signal -19 deg off crest

  • 11 deg forward of min momentum spread
  • Polarizer

– Radial polarization

  • Filters

– Reconstruct spectrum

0.2 0.4 0.6 0.8 45 90 135 180

Polarizer Angle (deg) Polarizer Signal / Full Signal

slide-89
SLIDE 89

Momentum Spread

  • Observation of bifurcation

– Momentum spectrum

  • Strong breakup of momentum distribution at phase of full

compression

  • Currently being studied with TREDI code

Image of beam in spectrometer (horizontal is bend plane).

  • Min. energy spread and no compression - 9 deg fwd of crest (left); Max. compression -19 deg fwd of

crest (right).

slide-90
SLIDE 90

Conclusions

  • Summary

– Chicane compressor installed and commissioned – Compressor provides a rich data set

  • CTR, CER, momentum spread, tomography

– Simulations need to catch up

  • Microscopic physics model
  • Future Run Plans

– CER filter measurements – Improved CER polarizer measurements – Compare to models (Field-Eye)

slide-91
SLIDE 91

“High Brightness Beam Applications: Inverse Compton Scattering”

Nuclear Professional School University of Tokyo Mitsuru Uesaka

October 11, 2005 ICFA Workshop on The Physics and Applications of High Brightness Beams

slide-92
SLIDE 92

Monochromatic Tunable Hard X-ray Source by X-band-linac/YAG-laser Compton Scattering

Scale of system: less than 5m x 5m(with the power supply) Price: ~4 million dollars X-ray energy(max.): 10~50 keV X-ray intensity: >109photons/s(total)

X-band accelerating (decelerating) structure X-band Klystron

X-band power supply Patient

Monochromatic hard X-ray

Moving arm 2D X-ray detector Laser system Dynamic image

  • f coronary artery

Moving stage(bed) <5 m <3m

Intravenous injection

  • f contrast agent

Laser circulation system

10

  • 1

1 10 10 2 10 3 10 4 10 5 10 6 10 7 20 40 60 80 100

Total Cross section[b/atom]

Iodine (Z=53) Carbon (Z=12) Oxygen (Z=16)

K 1s: 33.169 keV

Hydrogen(Z=1)

X-ray energy [keV]

Gives high contrast

Total Cross Section of X-ray attenuation for various elements

slide-93
SLIDE 93 E n t r y / b i n [ x 1 3 p h
  • t
  • n
s / k e V ] S c a t e r i n g a n g l e [ r a d ]

Monochromatic Hard X-ray by Compton Scattering

5mrad

00 10 20 30 40 50 60 70 80 90 100

X-ray energy [keV]

Quasi- monochromatic

0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1

) 2 1 1 ( 2

2 2

K

L r

+ = γ λ λ

m

L

µ λ 1 ≈

2

10 ≤ γ

) 50 ( MeV

  • A

1 ≤

γ

λ

(X-ray)

(laser wavelength) (K: Wiggling angle of electron)

laser Electron X-ray

Collision Compton Scattering

X-ray energy vs Angle

slide-94
SLIDE 94

Pulsed, tunable, monochromatic X-ray machine at MXI Sys./Vanderbilt’s W.M. Keck Free-Electron Laser Facility

Machine Specifications: E-beam: 50 Mev Linac running in “single pulse” mode 1 nanocoulomb/pulse Laser: Nd:Glass 1052 nm 20J – (10J compressed to 10 ps) .003 Hz X-ray beam: 108 photons/shot tunable from 12 to 50 keV 1-10% bandwidth

slide-95
SLIDE 95

Energy differences in a finger

  • r in a body, such as a mouse

19 keV 29 keV Energy movie from 15 keV to 33 keV

We have the ability to specifically tune the X-rays to the imaging task at hand.

slide-96
SLIDE 96

Inverse Compton scattering experiment by 70MeV linac and Ti:Sapp laser at PLEIADES, LLNL

X-ray image taken by Csl Scintillator Fiber coupling CCD

Alignment

Spatial Alignment aluminum cube at collision point Temporal Alignment streak camera

Off-Axis Parabola

Goal

Total flux: 108 photons/sec Peak brightness: 1020 photons/mm2 /s/mrad2/0.1 % band width

Future works

Permanent quadrupole magnet for electron beam focusing beam size:15 µm 540 mJ Laser pulse for interaction Tuning up of the UV Laser for photo injector

slide-97
SLIDE 97

Nuclear Engineering Research Laboratory Graduate School of Engineering University of Tokyo

Hard- X-ray on the Thompson scattering

Ti:sapphire Laser pulse

BS M M M

Optical Delay

OAP OAP

Gas Jet

X-ray

e-Bunch generation Collision

50% 50% Electron bunch by PIC simulation

40fs

Spectrum of x-rays depending on the laser intensity, a0=eE/mcω

10 20 30 40 0.0 0.2 0.4 0.6 0.8 1.0

m

a=2

m ~5

ma x

Norm alized Intensity

1000 2000 3000 4000 0.0 0.2 0.4 0.6 0.8 1.0

m

a=10

m ~400

m ax

NormalizedIntensity

ω~mω

08γ 2/(1+a0 2)

Laser pulse and electron bunch encounter can be produced with use of the laser self-focusing

Hard X-rays (~10-20 keV) in a 1-2o cone can be produced with 12TW Laser

F.He, Y.Lau, D. Umstadter, R.Kowalczyk PRL, 90,055002 (2003) A.Zhidkov, J.Koga, A.Sasaki, M.Uesaka PRL, 88,185002 (2002)

Set up for head-on collision Thomson scattering

LOA(France), etc.

slide-98
SLIDE 98

First and Second Generation Inverse Compton Scattering X-ray Sources

First Generation MXI Sys/Vandervilt, PLEIADES, U.Tokyo/KEK/JAERI, Sumitomo etc.

  • Single-electron-single-laser Compton scattering
  • First demonstration and application
  • Intensity up to 10^8 photons/s
  • Intensity fluctuation due to the time-jitter between electron and laser pulse

Second Generation U.Tokyo, Lyncean Tech.(R.Ruth), Sumitomo/AIST/KEK, etc.

  • Multi-scattering of electron- and laser-pulses
  • Intensity of more than 10^9 photons/s
  • A variety of applications for medicine, protein structural analysis,

nondestructive evaluation and nuclear engineering

slide-99
SLIDE 99

Compton scattering hard X-ray source

Compact hard X-ray source based on Compton Scattering Properties of the generated X-ray

slide-100
SLIDE 100

X-band Linac Facility at Univ.Tokyo

Control room RF source Beam line

slide-101
SLIDE 101

Applications

  • Static/dynamic imaging for medical and industrial uses
  • Dual energy X-ray CT to get 3D distributions of atomic-

number- and electron-densities for light atoms up to 43Tc

  • Subtraction CT across the K-edge to get 3D distribution
  • f specified heavy atoms
  • Protein structural analysis
slide-102
SLIDE 102

Review of RF photoinjector for radiation chemistry

  • Univ. Tokyo
  • A. Sakumi, M. Uesaka, Y. Muroya, Y. Katsumura
slide-103
SLIDE 103

Fast electron

Orbit Potential of Hydrated electron

Excitation Geminate ion recombination Ionization & Thermalization Excitation induced by

  • Gem. recom.

Molecule

Solvation

Application for ultra-short pulse

-Radiation Chemistry experiments Purpose of the sub-ps pulse radiolysis

  • Investigation of the elementary process
  • f radiation induced phenomena which occur in the time scale of ps, even

sub-ps

slide-104
SLIDE 104

Application for ultra-short pulse

-Radiation Chemistry experiments

Final target !

0 1fs 1ps 1µs

Physical stage Physicochemical stage Chemical stage

Energy deposition Ionization&Excitation Recombination Thermalization Reorganization Inhomogeneous spur reactions

  • diffusion&reaction control
slide-105
SLIDE 105

Radiation Chemistry

Chemical reaction of water Pulse radiolysis method

NERS U. Tokyo Y. Muroya et al.,

slide-106
SLIDE 106

fs laser(Ti:Sapphire laser) + Photocathode RF gun

Requirements

I Ultra-short bunch and laser II Stable synchronization III Intense electron bunch Pulse radiolysis in a time range of sub-picosecond

Short pulse Single beam, low dark current High intensity For Pumping beam Short pulse Synchronization to pumping beam Tunable wavelength For Probe beam Suitable combination

slide-107
SLIDE 107
  • 0.05

0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 50 100 150 200 250 Time /ps Optical path : 10 mm 5 mm 2 mm 1 mm

  • 0.05

0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35

  • 10
  • 5

5 10 15 20 25 30 Time /ps 12-13ps 6-7ps 4-5ps <4ps

  • Time behaviors of eaq
  • at 700nm

Results

Time resolution: δtotal

δtotal ≈ δdiff + (δE

2 + δL 2 + δsync 2 )1/2

Dominant factor: δdiff due to refractive index n=1.33

Pulse radiolysis using white light continuum

Beam-Material Interactions

l /mm 10 5 2 1 O.D. S/N 0.32 15 0.19 10 0.08 5 0.04 3 Dose 40Gy 47G y 50G y 50G y Time

  • resol. /ps

12- 13ps 6- 7ps 4- 5ps <4ps Time

  • resol. /ps

12.2ps 7.2p s 5.2p s 3.2p s

Good agreement

w w w .utns.jp/~beam

slide-108
SLIDE 108

LEAF Laser System

Probe com- pressor Auto Topas OPA Tripler TSA-10 Regenerative Amplifier Pro 290-30 30 Hz YAG Diode Auto Tsunami Ti:S Oscillator 6 mJ compressed 8 mJ uncompressed 266 nm 1 2 3 4 5 Probe beam to expt. UV to photocathode

1) Diode-pumped Nd:YVO 4 laser, 5 Watts, 532 nm, pumps picosecond Ti:Sapphire laser. 2) Ti:Sapphire oscillator produces ~50 fs pulses, ~ 7 nJ energy, 798 nm, at 81.60 MHz. 3) Pulse stretcher stretches oscillator pulse to > 200 ps, then injects the pulse into the Ti:Sapphire regenerative amplifier. 4) Simultaneously, the doubled, Q-switched Nd-YAG laser pumps the Ti:Sapphire regen. 5) Stretched ~200 ps pulse is amplified to ~12 mJ level. Half is compressed to 1-3 ps for THG 6) Half of regen output compressed to ~100 fs for use as probe or TOPAS OPA pump (8) 7) 1-3 ps pulse is frequency tripled to 266 nm (≤ 0.4 mJ) for excitation of Mg photocathode. 1 2 3 4 5 6 7 8

10

LEAF

slide-109
SLIDE 109

100 80 60 40 20 8 6 4 2

Time, ns

Pulse-Probe Experiment

Electron Gun Sample Delay Detectors Variable λ Probe Beam 266 nm UV Beam Electron Beam Faraday Cup

0.015 0.010 0.005 40 30 20 10 Time, ps 4 3 2 1 Water 800 nm 5 mm cuvette 9 ps FWHM

Water, 800 nm 1 cm path 240 - 1700 nm

LEAF

slide-110
SLIDE 110

ELYSE, Picosecond Pulse Radiolysis

ELYSE,Orsay

slide-111
SLIDE 111

Waseda Waseda Univ. (Japan)

  • Univ. (Japan)

New pulseradiolysis system

②Quadropole for beam de-sizing →high

time resolution

①Easy setup

→Easy to experiment

③Stabilizing white light→noise

decreasing

slide-112
SLIDE 112

Beam energy Beam Current Beam width Beam size Target path Length Synchro

  • nization

Total time Resolutio n

  • U. Tokyo

4+18= 22MeV 2nC 1ps 3mm 1mm <1ps(rm s)

100fs(532nm- 2600nm)OPA (400- 1100nm) white light made by Ti:Sa

3ps(white light) Osaka Univ. 38MeV >0.2nC <1ps 100fs ~5ps 10mm(r ight water) 2- 20mm >7ps(puls e-probe) Pico- sec. ~7ps? 8ps Laser pulse width LEAF,BNL, USA 9MeV 2-8nC ≥ 7 ps 100fs(240- 2600nm)OP A ELYSE, France 4 to 9 MeV ≥ 1 nC ≤ 7 ps Waseda Univ. 4MeV 0.4- 0.6nC

slide-113
SLIDE 113

Summary

Photocathode RF gun with fs laser(Tt:Sa) is suitable combination for the Application of Radiation Chemistry In order to measure the phenomena at sub-pico or picosecond region, we need;

  • high brightness beam with short pulse(<1ps)
  • Thin target(~mm)
  • Stable system

Timing (within 1ps) Position Beam Intensity (both laser and electron beam)

slide-114
SLIDE 114

PD 1 PD 2 Current monitor Computer GPIB 18MeV linac Sample FESCA Computer Stage driver SR DG535 HP 54845A Shutters TK SI5010 35MeV linac

  • r

Laser HP 37204A Electron beam Light Signal

Data acquisition

  • Measurement of laser intensity and charge
  • B : Both beam and light
  • L : Light only
  • P : Beam only
  • N : Neither beam nor light
  • Charge

( IM : Main light, IR : Reference light )

→ IM(B) and IR(B) → IM(L) and IR(L) → IM(P) and IR(P) → IM(N) and IR(N) → C

Absorbance ≡ log

10

I0 I = C

ave

C ⋅log

10

IM(L)− IM(N) IR(L)− IR(N) ⋅ IR(B)− IR(P) IM(B)− IM(P) ⎡ ⎣ ⎢ ⎤ ⎦ ⎥

(Cave : Average of charges)

  • Calculation of precise absorbance

Beam-Material Interactions, UTNs

Sub-ps Pulse Radiolysis - Measurement System

slide-115
SLIDE 115

Argonne National Laboratory is managed by The University of Chicago for the U.S. Department of Energy

Quantum Effects in Gain and Start-up

  • f Free-Electron Lasers —

Wigner Function Approach

Zhirong Huang and Kwang-Je Kim The Physics and Applications of High Brightness Electron Beams Erice, Sicily October 9-14, 2005

slide-116
SLIDE 116

Argonne National Laboratory is managed by The University of Chicago for the U.S. Department of Energy

A Smith-Purcell BWO for Intense Terahertz Radiation

Kwang-Je Kim and Vinit Kumar ANL and The University of Chicago The Physics and Applications of High Brightness Electron Beams Erice, Sicily October 9-14, 2005

slide-117
SLIDE 117

KJK, Compact SP BWO, The Physics and Applications of High Brightness Electron Beams, Erice, 10/9-14/05

SEM-Based Smith-Purcell Radiator

β= 0.35 (35 keV) Ι 1 mΑ λg = 173 µm, d = 100 mm, w = 62 µm, b = 10 µm, L = 12.7 mm ≤

slide-118
SLIDE 118

KJK, Compact SP BWO, The Physics and Applications of High Brightness Electron Beams, Erice, 10/9-14/05

SEM-Based Smith-Purcell Radiator at the U of C,

After the Dartmouth Set-Up (O. Kapp, A. Crewe, KJK)

slide-119
SLIDE 119

KJK, Compact SP BWO, The Physics and Applications of High Brightness Electron Beams, Erice, 10/9-14/05

) cos 1 ( θ β β λ λ − =

g

*S. J. Smith and E. M. Purcell, Phys. Rev. 92, 1069 (1953)

Waves on a Grating: Propagating and Evanescent Modes

propagating mode surface mode (evanescent)

θ λ

λg current- induced field electron

Metal grating

slide-120
SLIDE 120

KJK, Compact SP BWO, The Physics and Applications of High Brightness Electron Beams, Erice, 10/9-14/05

Surface Mode Has Negative Group Velocity*

Phase velocity =ω/kz=βc , dω/dkz < 0 Thus SP-FEL is a Backward Wave Oscillator (BWO) Optical energy accumulates exponentially to saturation without feedback mirrors

0.2 0.4 0.6 0.8

k/kg

0.1 0.2 0.3 0.4

ω/ckg *H.L. Andrews et al., Phys. Rev. ST Accel. Beams. 8, 050703 (2005)

slide-121
SLIDE 121

KJK, Compact SP BWO, The Physics and Applications of High Brightness Electron Beams, Erice, 10/9-14/05

Analytic Solution in the Linear Regime (cont’d)

  • Nontrivial solution if
  • This is a transcendental equation on ν. Find that there is a threshold value
  • f J above which ν has a positive real part.

⇒ Start current condition

b A s

e L I . y I

2 3 2 4 4

2 685 7

Γ

χ π λ γ β = ∆

( )(

)

( )(

)

( )(

)

3 2 1

2 1 2 3 1 3 2 2 3 2 2 1

= κ − κ − κ + κ − κ − κ + κ − κ − κ

κ κ κ

e Q e Q e Q

slide-122
SLIDE 122

KJK, Compact SP BWO, The Physics and Applications of High Brightness Electron Beams, Erice, 10/9-14/05

Simulation Results: Start Current as a Function of Gap Distance

10 20 30 40 50

b (µm)

10 100 1000

Ist/∆y (A/m)

For b = 10 µm, Ist/∆y = 37.5 A/m (simulation) = 36 A/m (analytic formula)

  • If we maintain an rms average

beam radius of 10 µm over the entire interaction regime, the start surface current density is 37.5 A/m

slide-123
SLIDE 123

KJK, Compact SP BWO, The Physics and Applications of High Brightness Electron Beams, Erice, 10/9-14/05

Smith-Purcell FEL is a Backward Wave Oscillator

e-beam surface mode

(evanescent)

group velocity e-beam and phase velocity

slide-124
SLIDE 124

KJK, Compact SP BWO, The Physics and Applications of High Brightness Electron Beams, Erice, 10/9-14/05

Conclusions

  • We have developed a theory of SP-FELs driven by sheet beams operating as

a BWO, using Maxwell-Lorentz equations.

  • Simple formula for start current is derived from linear analysis .
  • Results from a simulation code based on Maxwell-Lorentz equations agree

with linear theory where applicable and give saturation behavior.

  • The sheet beam theory can be used for designing a portable SP FEL for

THz radiation.

slide-125
SLIDE 125

Workshop Summary

  • Many interesting fields have increasingly

stringent requirements on beam quality at high peak and high average brightness

  • Producing short electron pulses is

becoming increasingly routine as instrumentation/procedures get better

  • The Italians are well on their way towards

getting their X-FEL going

  • See program/talks at

http://www.physics.ucla.edu/PAHBEB2005/talks/index.htm