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R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th th – 18 – 18 th th May May 2011 2011 1 Status of Detuned and Status of Detuned and Manifold-Damped HG Linacs for Manifold-Damped HG Linacs for CLIC CLIC Roger M. Jones The University of Manchester and Cockcroft Institute b a a+a 1 R a 1 t/2 L R c a a R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th th – 18 – 18 th th May May 2011 2011

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

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Page 1: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 1

Status of Detuned and Manifold-Damped Status of Detuned and Manifold-Damped HG Linacs for CLICHG Linacs for CLIC

Roger M. JonesThe University of Manchester

and Cockcroft Institute

b

a

a+a1

R

a1

t/2

L

Rc

a

a

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011

Page 2: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011

Overview

1. Brief overview of some features of DDS Multi-functional manifolds Summary of measurements…) Expected tolerance sensitivities

2. Status of CLIC_DDS_A design Its taken from the fully-interleaved wakefield Brief summary of issues (mechanical electrical

considerations) that went into finalising it.

3. Final remarks Open questions (KEK machining needs ..) Ongoing work (Fully equipped structure: CLIC_DDS_B)

Page 3: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 3

1. Features of Wakefields

Transverse momentum kick:

Contours indicate density

of Gaussian distrn.

Page 4: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 4

Band partitioning of kick factors in 206 cell DDS1 X-band structure (facc=11.424 GHz). Largest kick factors located in the first band. Third and sixth bands although, an order of magnitude smaller, must also be be detuned along with the 1st band.

CLIC design facc =11.9942 GHz shifts the dipole bands up in frequency.

1. Band Partitioning1. Band Partitioning

Ref: Jones et. al, 2003, SLAC-PUB 9467

The partitioning of bands changes with phase advance. Choosing a phase advance close to pi per cell results in a diminution of the kick factor of the first band and and enhancement of the 2nd and 3rd bands. A similar effect occurs close to /2.

Kick factors versus phase advance for cells with an iris radius of ~ 4.23 mm.

Page 5: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 5

1. Review of General Methods of 1. Review of General Methods of Wake-Field DampingWake-Field Damping

1. Strong Damping (Q~10) => some loss in the shunt impedance of the monopole mode.

a) Magnetic coupling –azimithal slots (kidney slots)

b) Electric coupling – longitudinal slots

2. Resonant suppression

a) single frequency: fdipole = (n/2) fbunch (zero-mode crossing)

b) multiple frequency, beat-note: fdipole1 – fdipole2 = n fbunch

3. Non-resonant suppression –Detuning

a) Rectangular Kdn/df (kick factor weighted mode density) => sinc function wake

b) Gaussian Kdn/df => Gaussian wake function

c) Truncation of Gaussian necessitates light damping in addition to detuning

d) Less sensitivity to frequency errors

e) Less impact on fundamental mode shunt impedance

Page 6: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 6

1. General Aspects of Detuning1. General Aspects of Detuning

Gaussian density distributions Kick factor weighted density function: Kdn/f ~ exp[-(-0

)2/2 2]

Ideally: W(t) ~ exp(- 2 t2/2)

Advantages over other methods1. It is non-resonant and hence it does not freeze collider operation a bunch

spacing other than the minimum bunch spacing.2. Wakefield decreases rapidly and monotonically3. It permits an error function interpolation with relatively sparse parameters

Disadvantages1. Gaussian distribution is not limited and thus eventually it is truncated. This

truncation gives rise to a sinc-like (=sin(x)/x) wake which curtails the rapid fall-off at a level dependent on the truncation point

2. The finite number of cells => finite number of modes => partial recoherence of wake-field starting at a time t ~ 1/fmax (where fmax is the maximum separation of modes). Also, with damping there is another coherence point, further out, at 1/ fmin (where fmin is the minimum separation of modes, which lies in the centre of the Gaussian)

Page 7: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 7

1. Spectral Function Regimes

Page 8: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 8

1. (R)DDS HIGHLIGHTS:Features and

Achievements/Lessons

Testament to fruitful collaboration (over a decade or more) in the NLC/JLC programme (SLAC, KEK, FNAL, LLNL).

One slide summary of all wakefield measurments!

Page 9: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 9

1. Measurement of Wakefields/HOMs

Electron bunch serves as the witness bunchIn traversing the DUT, the witness bunch is deflected by the wake function generated by the positron drive bunch. Witness bunch passes though chicane and down linac where trajectory is recorded by BPMs The transverse wake function is determined by measuring the change in the witness bunch deflection per unit change in the drive bunch offset in the structure. W is the transverse wake function at time t

behind the drive bunch, Ew (~ 1.2 GeV) is the witness bunch energy and yd is the offset in the drive bunch from the electrical centre of the accelerating structure. Wake function units are transverse voltage per drive charge (end), drive offset and structure length (Ls), and

y d wW t y / E

2 2 2 2s de L n exp( / c )

Angular kick imparted to the witness bunch is found from ratio of the transverse to longitudinal energy:

Ref: R. M. Jones, Wake field Suppression in High Gradient Linacs for Lepton Linear Colliders, Phys. Rev. ST Accel. Beams 12, 104801, 2009

Page 10: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 1010

DS

Qcu

RDDS1

ASSET Data

Conspectus of GLC/NLC Wake Function Predictionand Experimental Measurement (ASSET dots)

DDS3 (inc 10MHz rms errors)DDS1

RDDS1H60VG4SL17A/B-2 structure interleaved

Refs: 1. R.M. Jones,et al, New J.Phys.11:033013,2009. 2. R.M. Jones et al., Phys.Rev.ST Accel. Beams 9:102001, 2006.3. R.M. Jones, Phys.Rev.ST Accel. Beams, Oct.,2009.

1. GLC/NLC Exp vs Cct Model Wake

Special case:: Random errors added to mode freqs to fit exp. data

Page 11: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 11

1. Impact of Fabrication Errors on Wakefield Suppression in RDDS1

Frequency Errors

Wakefield Experienced by Bunches

1 4 .5 1 5 . 1 5 .5 1 6 .

0

2 0

4 0

6 0

8 0

1 0 0

2 G H z

2Kdn

dfVpCmmm

GHz Kdn/df and Mode Spacing

Page 12: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 1212

1. Determination of HOMs in Structure via Stretched Wire Measurement

Illustrated is an X-band Set-up at SLAC.Designed as part of the GLC/NLC programme.Able to accommodate 1.8m structures.Several other configurations in use internationally.Trapped modes not readily accessible (hence beam- -based verification of simulations needed)

Ref: F. Caspers, Bench methods for beam-coupling impedance measurement (Lecture notes in beams: intensity limitations vol 400) (Berlin, Springer, 1992)

Page 13: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 13

1. Verification of Synchronous Frequencies from Measurement of Cell Stacks

Page 14: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 14

1. RDDS1 ASSET Measurement Contin.

Page 15: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 15

1. Multi-Functional Properties of Manifolds

Page 16: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 16

1. Determination of Cell Offset From Energy Radiated Through Manifolds

CMM

RF (Power min)

Page 17: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 17

1. Summary of NLC/GLC Wakefield Damping

Detuning along with moderate damping has been shown to be well-predicted by the circuit model.

Interleaving of successive structures allows the detuning to be effective.

Manifold wakefield suppression has added benefits:1. Serves as built-in beam diagnostic2. Allows internal alignment of cells to be obtained from

manifold radiation3. Serves as vacuum pump-outs.

Page 18: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 1818

2. X-Band Wake-field Suppression for CLIC

CLIC_DDS_A& CLIC_DDS_B

Page 19: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 1919

Roger M. Jones (Univ. of Manchester faculty)Alessandro D’Elia (Dec 2008, Univ. of Manchester PDRA based at CERN)Vasim Khan (PhD student, Sept 2007)Nick Shipman (PhD student Sept 2010, largely focused on breakdown studies)Part of EuCARD ( European Coordination for Accelerator Research and Development) FP7 NCLinac Task 9.2

Major Collaborators: W. Wuensch, A. Grudiev, I. Syrachev, R. Zennaro, G. Riddone (CERN)

2. FP420 –RF Staff2. Wake Function Suppression for CLIC -Staff

V. Khan, CI/Univ. of Manchester Ph.D. studentgraduated April 2011 (now CERN Fellow)

A. D’Elia, CI/Univ. of Manchester PDRA based at CERN (former CERN Fellow).

N. Shipman, CERN/CI/Univ. of Manchester Ph.D. student

L. Carver Sept 2011CI/Univ. of Manchester Ph.D. student

Page 20: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 2020

2. Introduction –Present CLIC baseline vs. alternate DDS design

The present CLIC structure relies on linear tapering of cell parameters and heavy damping with a Q of ~10. Wake suppression is effected through waveguides and dielectric damping materials in relatively close proximity to accelerating cells. Choke mode suppression provides an alternative, but as shown for SW (V. Dolgashev et al), it will negatively impact Rsh -planned TW structures are worth investigating though (talk by J. Shi?)

A viable alternative is presented by our CLIC_DDS design - parallels the DDS developed for the GLC/NLC, and entails:

1. Detuning the dipole bands by forcing the cell parameters to have a precise spread in the frequencies –presently Gaussian Kdn/df- and interleaving the frequencies of adjacent structures.

2. Moderate damping Q ~ 500-1000

Page 21: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 21EPAC, 26 June 2008 W. Wuensch, CERN

HOM damping waveguides

Magnetic field concentration –pulsed surface heating

High electric field and powerflow region - breakdown

Short range wakefields

Cooling Vacuum pumping

Alignment

Beam and RF

11.9942 GHz, 2π/3 with a 8.332 mm period

2. Current CLIC Baseline Accelerating Structure

Page 22: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 2222

1) RF breakdown constraint

2) Pulsed surface temperature heating

3) Cost factor

Beam dynamics constraints

1) For a given structure, no. of particles per bunch N is decided by the <a>/λ and Δa/<a>2) Maximum allowed wake on the first trailing bunch

Wake experienced by successive bunches must also be below this criterion

260max /surE MV m

56maxT K

33 18in p inP C MW ns mm

9

1

6.667 4 10( /[ . . ])

tW V pC mm m

N

Ref: A. Grudiev and W. Wuensch, Design of an x-band accelerating structure for the CLIC main linacs, LINAC08

2. CLIC Design Constraints

Page 23: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 2323

2. Initial CLIC_DDS Designs Three designs

1. Initial investigation of required bandwidth to damp all bunches (~3GHz) –succeeds to suppress wakes, fails breakdown criteria!

2. New design, closely tied to CLIC_G (similar iris a), necessitates a bandwidth of ~ 1 GHz. Geometry modified to hit bunch zero crossings in the wakefield -succeeds from breakdown perspective, tight tolerances necessary to suppress wakes!

3. Relaxed parameters, modify bunch spacing from 6 to 8 rf cycles and modify bunch population. Wake well-suppressed and satisfies surface field constraints. CLIC_DDS_C (f ~ 3.6, 13.75%) –SUCCESS (on suppressing wakes and meeting breakdown criteria)

Three designs

1. Initial investigation of required bandwidth to damp all bunches (~3GHz) –succeeds to suppress wakes, fails breakdown criteria!

2. New design, closely tied to CLIC_G (similar iris a), necessitates a bandwidth of ~ 1 GHz. Geometry modified to hit bunch zero crossings in the wakefield -succeeds from breakdown perspective, tight tolerances necessary to suppress wakes!

Three designs

1. Initial investigation of required bandwidth to damp all bunches (~3GHz) –succeeds to suppress wakes, fails breakdown criteria!

Page 24: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 24

Structure CLIC_G

Frequency (GHz) 12

Avg. Iris radius/wavelength

<a>/λ

0.11

Input / Output iris radii (mm)

3.15, 2.35

Input / Output iris thickness (mm)

1.67, 1.0

Group velocity (% c) 1.66, 0.83

No. of cells per cavity 24

Bunch separation (rf cycles)

6

No. of bunches in a train

312

Lowest dipole∆f ~ 1GHzQ~ 10

2. Initial CLIC_DDS Design –f determination

CLIC_DDS Uncoupled Design

Re erf n 4i t / 2 2where : (t, f )

erf n / 2 2

22 tt

Truncated Gaussian :

W 2Ke (t, f )

Bandwidth Variation Variation

CLIC_G

Page 25: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 2525

Uncoupled parameters

• Iris radius = 4.0 mm• Iris thickness = 4.0 mm , • ellipticity = 1• Q = 4771• R’/Q = 11,640 Ω/m• vg/c = 2.13 %c

• Iris radius = 2.13 mm

• Iris thickness = 0.7 mm,

• ellipticity = 2

• Q = 6355

• R’/Q = 20,090 Ω/m

• vg/c = 0.9 %c

Cell 1 Cell 24

(f/<f> = 13.75 %)

2 Relaxed parameters tied to surface field constraints

Cct Model Including Manifold-Coupling

Employed spectral function and cct model, including Manifold-Coupling, to calculate overall wakefunction.

Page 26: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 26

b

Rc

a

a+a1

R

26

Structure GeometryCell parameters

a1

t/2

a

L

Iris radiusIris radius

Cavity radius Cavity radius

Sparse Sampled HPT (High Power Test)

Fully Interleaved8-structures

amin, amax= 4.0, 2.13

bmin, bmax= 10.5, 9.53

2. Structure Geometry: Cell Parameters

Page 27: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 2727

Avoided crossing

Uncoupled 2nd mode

Uncoupled 1st mode

Uncoupled manifold mode

Coupled 3rd mode

Light line

2. Relaxed parameters –full cct model

Avoided crossing

Uncoupled 2nd mode

Uncoupled 1st mode

Uncoupled manifold mode

Coupled 3rd mode

Light line

Dispersion curves for select cells are displayed (red used in fits, black reflects accuracy of model)Provided the fits to the lower dipole are accurate, the wake function will be well-representedSpacing of avoided crossing (inset) provides an indication of the degree of coupling (damping Q)

End Cell

Mid-CellAvoided crossing

Uncoupled 1st mode

Uncoupled manifold mode

Coupled 3rd mode

Light line

Uncoupled 2nd mode

First Cell

Page 28: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 28

192 cells8-fold interleaving

24 cellsNo interleaving

192 cells8-fold interleaving

Manifold

Coupling slot

Dipole mode Manifold mode

∆fmin = 65 MHz∆tmax =15.38 ns∆s = 4.61 m

∆fmin = 8.12 MHz∆tmax =123 ns∆s = 36.92 m

∆f=3.6 σ =2.3 GHz∆f/fc=13.75%

2. Summary of CLIC_DDS_C

Meets design Criterion?

Page 29: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 29

2. CLIC_DDS_E

Enhanced H-field on various cavity contours results in unacceptable T (~65 K).

Can the fields be redistributed such that a ~20% rise in the slot region is within acceptable bounds?Modify cavity wall

Explore various ellipticities (R. Zennaro, A. D’Elia, V. Khan)

Page 30: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 30

14.4ε 2.07ε

Circular Square

ε=-8.28ε=-4.14

ε=-2.07

Convex ellipticity

Concave ellipticity

Single undamped cell Iris radius=4.0 mm

2. CLIC_DDS_E Elliptical Design –E Fields

1ε ε

1.38ε

Page 31: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 31

Circular Rectangular Elliptical(Convex)

Elliptical(Concave)

of cavity 1 ∞ 4.14 2.07 1.38 0.82 0.41 -8.28 -4.14 -2.07

facc(GHz) 12.24 12.09 11.98 12.0 11.99 11.98 11.98 11.9911 11.9919 11.9935

Eacc(V/m) 0.43 0.43 0.42 0.43 0.43 0.42 0.42 0.43 0.43 0.42

Hsur max /Eacc

(mA/V)3.64 4.86 4.71 4.54 4.29 3.75 3 4.94 4.99 5.11

Esur max /Eacc 2.27 2.27 2.33 2.28 2.28 2.33 2.33 2.27 2.27 2.33

Iris radius = 4.0 mmIris thickness = 4.0 mm

2. CLIC_DDS_E Elliptical Design, Single

Undamped Cell Dependence of Fields on

Chosen design

Page 32: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 32

Optimisation of cavity shape for min

Circular ( =1)

Rectangular ( =∞)

ε=4.14

ε=2.07

ε=1.38

ε =0.82

ε=0.41

Undamped cell

Optimised parameters for DDS2

Circular cell

ε=0.82

ε=1.38

Manifold-damped single cell

2. CLIC_DDS_E Single-Cell Surface Field Dependence on ε

Iris radius ~4mm. For both geometriesAveraging surface H over contour =1.38

maxsH

See WG talk by Vasim Khan

Page 33: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 33

Efficiency

∆f dipole

∆T

Pin

Optimisation of parameters based on manifold damped structures.Vary half-iris thickness. 3-cell simulations, with intermediate parameters obtained via interpolation.Choose parameters with minimal surface E-field, pulse temperature rise, and adequate efficiency.

Chosen optimisation (CLIC_DDS_E)

2. CLIC_DDS_E, Optimisation of:, ∆f and Efficiency

maxsE

maxsE

Page 34: R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 th – 18 th May 2011 1 Status of Detuned and Manifold-Damped HG Linacs for CLIC Roger M. Jones

R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16R.M. Jones, XB Structures Collaboration Workshop, SLAC, 16 thth – 18 – 18thth May 2011 May 2011 34

b

2b

2bemajor

emajor3.0eminor

Rc

hr1

2*r2

r2

h1

r1+h+2r2

r1

a1

a2g=L - t

L at= 2a2

Radius = 0.5 mm

Variable parameters (mm)

Cell #1 Cell#24

a 4.0 2.3

b 11.01 10.039

a2 2.0 0.65

a1 a2 2a2

Rc 6.2 6.8

r2 3.25 2.3

Constant parameters (mm)

All cells

L 8.3316

r1 0.85

h 4.5

h1 1.25

Fillet @ cavity and manifold joint

1.0

Rounding of cavity edge

0.5

2. CLIC_DDS_E: Detailed Geometry

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Parameter DDS1_C DDS2_E Modified to achieve

Shape Circular Elliptical Min. H-field

<Iris thickness> (mm) 2.35 2.65 Min. E-field

Rc 1to 24 (mm) 6.2-7.5 6.2-6.8 Critical coupling

DDS1_C

DDS2_E

2. Impact on Parameters: CLIC_DDS_C to CLIC_DDS_E

DDS1_C

DDS2_E

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2. CLIC_DDS_E-Fundamental Mode Parameters

DDS_E

DDS1_C

DDS_E

DDS1_C

DDS1_C

DDS_EDDS_E

DDS1_CDDS1_C

DDS_EVg R/Q Q

Es Hs

Group velocity is reduced due increased iris thicknessR/Q reduced slightlySurface field and T reduced significantly by using elliptical cells

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DDS_C

DDS_E

2. Wake Function for CLIC_DDS_E-Dipole Circuit Parameters

DDS_C

DDS_E

DDS_E

DDS1_C

∆f=3.5 σ =2.2 GHz∆f/fc=13.75%

a1=4mma24=2.3mm

Cct

Avoided Crossing

Avoided crossing x

is significantly reduced due to the smaller penetration of the manifold. Some re-optimisation could improve this

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DDS1_C

DDS2_E

2. Consequences on Wake FunctionSpectral Function Wake Function

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Rounding necessitates reducing this length (moves up)

Rounding

To facilitate machining of indicated sections, roundings are introduced (A. Grudiev, A. D’Elia).In order to accommodate this, Rc needs to be increased DDS2_ER.Coupling of dipole modes is reduced and wake-suppression is degraded. How much?

DDS2_E DDS2_ER

Rc

2. CLIC_DDS_E: Modified Design Based on Engineering Considerations

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Light lineAvoided crossing

Uncoupled 2nd Dipole ModeCell # 1

Cell # 24

2. CLIC_DDS_ER Dispersion Curves

Uncoupled Dipole mode

Uncoupled manifold mode

Cell # 1

Cell # 24

Light Line

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CLIC_DDS_E :Rc=6.2 - 6.8 mm (optimised penetration)

CLIC_DDS_ER : Rc=6.8 mm const (a single one of these structures constitutes CLIC_DDS_A, being built for HP testing)Wakefield suppression is degraded but still within acceptable limits.

4. CLIC_DDS_E vs CLIC_DDS_ER WakefieldSpectral Function Wakefunction

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Info. on the ability of the 8-fold interleaved structure to sustain high e.m. fields and sufficient T can be assessed with a single structure.Single structure fabricated in 2010/1st quarter 2011, CLIC_DDS_A, to fit into the schedule of breakdown tests at CERN.

2. CLIC_DDS_A: Structure Suitable for High Power Testing

Design is based on CLIC_DDS_ERTo facilitate a rapid design, the HOM couplers have been dispensed with in this prototype.Mode launcher design utilisedSRF design complete!Mechanical drawings, full engineering design completed!Qualification end cells fabricated. Received Oct 15 2010 from VDL (Netherlands)

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2. CLIC_DDS_A Fundamental Mode Parameters

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Max. Values

Esur=220 MV/m∆T = 51 KPin= 70.8Eacc_UL=131 MV/mSc=6.75 W/μm2

RF-beam-eff=23.5%

∆T

35*Sc

Esur

Eacc

Pin

Dashed curves : Unloaded conditionSolid curves: Beam loaded condition

CLIC_G Values

Esur=240 MV/m∆T = 51 deg.Pin= 63.8Eacc_UL=128 MV/mSc=5.4 W/μm2

RF-beam-eff=27.7%

2. CLIC_DDS_A Parameters

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24 cellsNo

interleaving

24 cellsNo interleaving

Undamped

Damped

Qavg ~1700

2. CLIC_DDS_A WakeWake of a non-interleaved 24 cell structure –first structure of 8-fold interleaved structure chosen.Motivated by high gradient testingWake is measurable and provides a useful comparison to simulations (but will not, of course, meet beam dynamics criteria)FACET (revive ASSET?) tests of wake?

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2. CLIC_DDS_A WakeRecent simulations with GdfidL (finite difference based code)

Single structure simulated

GdfidL simulations do not include the loading of the dipole mode by the fundaments, coupler (Q~36)

Nonetheless, reasonable agreement with circuit model and damping is expected to be sufficient

GdfidL

Cct model

First comparison of cct model vs GdfidL for CLIC_DDS

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2. Matching CLIC_DDS_A

Firstly, match-out either end of structure with regular cells: Structure for test will utilise a mode launcher Initially, simulate a structure with one regular cell and two matching cells at

either end and we study the minima in S11 as a function of the geometrical parameters of the matching cells (a, L –adopt L variation, rather than b, from space considerations)

Add additional (2, then 3) identical standard cells (const. imp) and follow the same procedure and modify parameters of matching cells to minimise S11

The matching condition (on a, L) is that which coincident with all 3 simulations. Secondly, once complete, match-out the full, tapered structure based on this

match.

I/P

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Beam

Port11Port 2E-field

2. CLIC_DDS_A Match-out the full, tapered structure E-field and S11 shown

~198.6mm

Matching cell

Surface E-Field Axial E-Field

5.0

7.5

Es (

V/m

x10

4 )

Ez (

V/m

x10

4 )

z (mm) 0 300

7

z (mm) 0 225

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V26 [V]@Pin = 1 W 2678

G26 [V/m]@Pin = 1 W 13481

Pin [MW]@<G26=100MV/m>

55.03

2. CLIC_DDS_A S Params

S12

S22

S11

[email protected]

z

12

11.988

6165@

11.9944GHz

Q

-50dB

0dB

/2 (GHz)

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Water pipes for coolingVacuum flange

Power input

Power outputTuning holes

Cutaway-view

Beam

V.Soldatov, CERN

Non-interleaved 24 cell structure –first structure of 8-fold interleaved structure chosen.High power (~71MW I/P) and high gradient testingTo simplify mechanical fabrication, uniform manifold penetration chosen

2. Mechanical Eng. Design of DDS_A

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2. Cell Qualification of CLIC_DDS_A VDL (Netherlands) have machined and measured several cells –end cells. (recvd by CERN Oct 2010) Global profiles made with optical Zygo machine are illustrated for disk 24 Design, tolerance bounds and achieved profile shown Morikawa (Japan) will fabricate cells –rf test at KEK Fabrication and bonding of complete structure by last quarter of 2011 HP test of structure in 2012?

G. Riddone, CERN

Quarter cell contours

Cell edge contours

-1.60.3 x (mm)

0.5 mm

1.5mm

Measured

Measured

Specified

Specified

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2. Cell Qualification of CLIC_DDS_A

Local profile made with an optical Zygo machine

Local profiles indicate < 50nm variation in surface roughness

Cell 24 displayed

G. Riddone, CERN

-40 nm

+40 nm

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Same technique as for matching cells

No

com

mon

min

ima

yet @

18G

Hz

53

3. CLIC_DDS_B R&D in Progress

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I/P at/2=15.9GHz

3. Work in Progress/R&D Opportunities CLIC_DDS_A is equipped with mode

launchers CLIC_DDS_B includes full HOM ports Initial studies on matching the HOM

coupler for CLIC_DDS_B in progress (dipole band ~ 15.9 GHz – 18 GHz)

Sic

Sic

Moving to a high phase advance (HPA) structure allows other parameters to be optimised

5/6 phase advance structure design in progress (for initial design see Linac2010)

In the HPA design further features being explored

Additional manifold (8) Influence of SiC rods on overall Q

EnhancedCoupling

Standard DDS Manifold

Additional Manifold

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CLIC_DDS_A : RF (including mode launcher matching cells) and mechanical design has been completed.

Qualifications cells fabricated (VDL)–all cells by last quarter 2010 Structure will be subsequently bonded in the first quarter of 2011, --

ready for high power testing in 2011 at the CLIC test stand. CLIC_DDS_B: Includes HOM couplers and interleaving. HOM

coupler design in progress.

3. Final Remarks

Transfer cell fabrication to Morikawa inc. guided by KEK Cell ETA April 2011 -10 qualification cells, followed by full 24 cellsRecent events in Japan have affected schedule –full structure expected during last quarter of 2011 (T. Higo will update)RF cold test measurements (S21) at KEK

New CLIC_DDS R&D in progress:HPA: High phase advance design is being studied. It Allows optimisation of the remaining parameters –minimise surface fields, wakefields at stipulated vg

Further optimisation is being explored by implementing additional manifolds and with the potential for the insertion of SiC rods to reduce the Q further

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I am pleased to acknowledge a strong and fruitful collaboration between many colleagues and in particular, from those at CERN, University of Manchester, Cockcroft Inst., SLAC and KEK.

Several at CERN and KEK within the CLIC programme, have made critical contributions: W. Wuensch, A. Grudiev, I. Syrachev, R. Zennaro, G. Riddone (CERN), T. Higo Y. Higashi (KEK).

3. Acknowledgements

1. R. M. Jones, et. al, PRST-AB, 9, 102001, 2006.

2. V. F. Khan and R.M. Jones, EPAC08, 2008.

3. V. F. Khan and R.M. Jones, LINAC08, 2008.

4. V. F. Khan and R.M. Jones, Proceedings of XB08, 2008.

5. R. M. Jones, PRST-AB, 12, 104801, 2009.

6. R. M. Jones, et. al, NJP, 11, 033013, 2009.

7. V. F. Khan and R.M. Jones, PAC09, 2009.

8. V. F. Khan, et. al, IPAC10, 2010.

9. V. F. Khan, et. al, LINAC10, 2010.

3. CLIC DDS Related Pubs.

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Extra Slides!

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CLIC_DDS_A Mechanical Eng. Design

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1. Summary of Manifold Suppression of Wakefields in Detuned Structures

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1. Physics of Manifold Mode Coupling to Dipole Modes

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1. Coupling Along Complete Structure

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1. Circuit Model of DDS

**Wakefield damping in a pair of X-band accelerators for linear colliders.R.M. Jones , et al, Phys.Rev.ST Accel.Beams 9:102001,2006.

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1. Circuit Model Equations

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1. Determination of Parameters

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1. Determination of Wakefunction

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1. Spectral Function Method

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RF parameters Unit DDS_A DDS_HPA42 DDS_HPA32

Phase advance / cell Deg. 120 150 150

Iris thickness mm 4/1.47 3.2/2.8 3.2/2.8

Bunch population 109 4.2 4.2 3.2

Q (In / Out) - 5020 / 6534 6931/7045 6931/7045

R’ (In / Out) MΩ/m 51 / 118 72.4/102.4 72.4/102.4

vg/c (In / Out) % 2.07 / 1.0 2.1 / 0.45 2.1 / 0.45

Eaccmax (L./UnL.) MV/m 105 / 132 93 .3/ 143 90/ 138

Pin MW 71 68.2 63.6

∆Tmaxsur

oK 51 51 48

Emaxsur MV/m 220 234 225

Scmax W/μm2 6.75 5.9 5.5

RF-beam efficiency % 23.5 29 23.3

5. Comparison 2π/3 vs 5 π/6