K Yonehara APC Fermilab MAP 2014 Spring Meeting Fermilab May 2731 2014 1 Contents Current working item since MAP DOE meeting Highlights in current activities Deliverable plan HCC Design and Simulation ID: 796632
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Slide1
Progress of HCC Design and Simulation
K. YoneharaAPC, Fermilab
MAP 2014 Spring Meeting,
Fermilab, May 27-31, 2014
1
Slide2Contents
Current working item since MAP DOE meetingHighlights in current activitiesDeliverable plan
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
2
Slide3List of Current W
orking Item since MAP DOE ‘14
ItemDescription
Design Cooling Elements
• Update initial cooling channel (see Yuri’s talk)• Update initial matching section (see Cary’s poster)
• Resume helical bunch merge system (see Amy’s talk)
Machine
Development
• Prepare dielectric
loaded gas-filled RF cavity test (see Ben’s talk)
• Investigate gas-plasma chemistry (plan to submit to PRSTAB) (see Ben’s poster)
• Develop HCC magnet design (see Mauricio’s talk)
• Develop double layered Nb3Sn winding technology (see Mauricio’s talk)
• Study various HS coil configurations (see Steve’s talk)
• Design RF window (see Alvin’s talk)
• Study beam loading effect (see Alvin’s talk)HCC Theory• Muon beam dynamics interacting with gas-plasma (see Moses’ poster)• Theoretical investigation of helical cooling channel in terms of the generic cooling theory• Translate HCC theory to the generic cooling theory• Optimize emittance evolution
3
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Slide4Three Highest Priority Items
in Cooling Simulation Effort
Initial FOFO Snake Cooling Evaluated the channel with the same initial muon beam distribution as Valeri’s rectilinear channelPublished the result (MAP-doc-4377)See Yuri’s talk for detailMatch-In ChannelImprove transmission efficiency 60 → 80 %
Tune more parameter spaces to make better transmissionSee Cary’s poster for detailHelical Bunch Merge Channel Update the optics to fit to the present MAP IBS beam parameter
See Amy’s talk for detailHighlights in c
urrently working items (I)
4
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Slide5Another Highest Priority I
temsin Experimental & Design Efforts
HCC magnet design and status of double layered Nb3Sn See Mauricio’s talkStudy various HS configurations See Steve Kahn’s talkDielectric Loaded HPRF cavity testThe test cavity is ready for low power sample measurementWe also plan to have a beam test
See Ben’s talkRF window study Estimate required thickness to mitigate thermal expansion and Lorentz Force Detuning (LFD) effectsSee Alvin’s talkBeam loading effect Estimate HOM + fundamental mode wake fields in the cavity
See Alvin’s talkGas-Plasma simulation Influence gas-plasma motion on beam dynamicsSee Moses’ poster
Highlights in currently working items (II)
5
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Slide6Study HCC from theoretical aspects
Translate HCC theory into generic cooling theorySystematic way to study HCC
Evaluate non-linear dynamics, e.g. Space charge effect & Plasma lens, etcEstimate cooling performance including with RF window, beam diagnostic material, spacing, etcCompare HCC with VCC from analytical point viewImport/Export key concept
Optimize HCCModulate optics to reach goal emittanceMaximize transmission efficiency Optics parameters should be bound by practical engineering parameters
Highlights in currently working items (III)
6
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Slide7Translate HCC theory
into generic cooling theory
Emittance evolution
Equilibrium
emittance
Cooling decrements
g
T
and
g
L
are the function of dispersion
l
= 0.5 m,
n
= 650 MHz, Gas Pressure = 160
atm
@ 300 K
E = 20 MV/m, RF window thickness = 60
m
m, 10 RF cells /
l
Solid line is the prediction (NOT fitting!)
G
o to Appendix to see detail analytic formulae
7
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Slide8Equilibrium emittance
vs RF window
Modify radiation length and
dE
/dx to
involve RF window dependence
Blue: Generic cooling theory
Equilibrium
emittances
in a 650 MHz HCC
Magenta: HCC theory
Red: Cooling simulation
8
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Slide9Equilibrium
E
mittance in B space
l
(HCC period) = 0.65 m
0.6
0.55
0.5
0.475
0.45
0.425
0.4
l
(HCC period) = 0.65 m
0.6
0.55
0.5
0.475
0.45
0.425
0.4
Present design limit
Injection angle = 45 degrees (
k
= 1)
RF window thickness = 60
m
m
Present design limit
0.6
0.55
0.5
0.475
0.45
0.425
0.4
0.65
0.65
0.4
0.425
0.45
0.475
0.5
0.55
0.6
9
Hardest requirement in HCC magnet design is making huge field gradient to reach low trans. emit.
However, low long. emit. can be made in low field grad. →
It is a clue of a new cooling scenario
Achievable field grad. strongly
depends on the size of RF cavity
Slide10Equilibrium
E
mittance with various kappask (=
pj/pz) = 0.9
0.95
1.05
1.1
1.0
l
(HCC period) = 0.4 m
RF window thickness = 60
m
m
k
(=
pj/
pz) = 0.9
0.95
1.01.05
1.1
0.95
1
.05
1.1
1.0
0.95
1
.05
1.1
1.0
0.9
0.9
10
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Slide11Possible cooling scenario
11
End of Front-end
Gas-filled FOFO Snake
HCC 325 MHz
HCC 650 MHz
HCC 975 MHz
Design goal
Present achievement
Match-out
Match-in
After bunch merge
(displaced for clarity)
Emittance Exchange
(e.g. in Match-out channel)
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
New evolution
l
= 0.36 m,
Bz
= 11 T
Slide12Plan by September 2014
Technology Development
RFDL HPRF cavity testRF window studyMagnetDesign HS coil based on double layered Nb3Sn test resultDesign/Consider beam diagnostic systemDesign and SimulationInitial cooling channel, match-in, and helical bunch merge channel
Smooth l HCC to maximize transmission efficiencyCurrent goal length 200 mCritical item in cooling physicsStudy wake field effect
Beam dynamics with plasma motion
12
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Slide13Appendix
13
Slide14Present Gas-Filled
RF 6D Helical Cooling Channel Design Working G
roup14
Original: 9/14/13Modified: 2/07/13
K. Yonehara1S. Kahn2
Y. Derbenev3R. Johnson2
V. Morozov
3
C. Ankenbrandt
2
D. Neuffer
1
Y. Alexahin
1
G. Flanagan
2J. Tompkins1S. Kahn2A. Tollestrup1M. Chung1A. Moretti1
B. Freemire1,4Y. Torun4K. Yonehara1
R. Samulyak5,6K. Yu6
2
1Fermilab2Muons, Inc.
3
Jlab
4
IIT
5
BNL
6
STONY BROOK
1
2
Supported by MAP & SBIR/STTR
& Lee
Teng
Internship program
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Slide15skew parametric ionization cooling channel
MAP Spring Meeting 2014,
15
Slide16PIC Concept
Half-integer resonances with simultaneous focusing in both planes
Absorber limits angular spread at the focal points
An order of magnitude smaller transverse emittance than in conventional case
Correlated optics
Absorbers
Parallel beam envelope restored
Beam envelope
without absorbers
(RF cavities not shown)
m
Muons
, Inc.
Slide17
tracks in twin helix
-
+
PIC Developments
Twin-helix channel with correlated optics
Superposition of pairs of helical harmonics and straight multipoles
Simulations ignoring stochastic effects prior to aberration compensation
Aberration compensation
Non-linear resonance issue: many correcting harmonics make motion unstable
e.g. lead to many non-linear resonances in case of correlated optics making compensation very challenging
Absorbers
RF cavities
m
Muons
, Inc.
Slide18Extension to
Skew PIC
: the principles
Plane snake orbit
Pursuing to build
correlated optics
but
for
radial motion
only
This feature is realized by adding
skew quads
for strong
x-y coupling
Azimuthal motion is not correlated (a free tune subject of a design choice; tune spread is irrelevant to the radial PR)
2d snake-dispersion is focused periodicallyPose weak Parametric Resonance quads to provide and control beam gradual focusing at zero dispersion pointsBeam envelope still be not axially-symmetric, thus leaving one with possibility use of multipoles to compensate for radial aberrations
m
Muons
, Inc.
Slide19Extension to
Skew PIC
: advantages
2d-dispersion is not in resonance with transverse oscillations (big release for conceptual design!)
Ease creation of a dispersion required for chromatic compensation
(a big advance
!)
Effective reduction of the two-dimensional task of compensation for aberration to the one-dimensional (radial) one (other big release and advance!)
A drastic cutback in the required group of compensating
multipoles
(big
simplification
in design/construction/control)!
Other advantages: intrinsic equating of 1) PR rates in two planes; 2) transverse cooling decrements Using thin tilted absorber plates installed at zero dispersion points) instead of “micro-wedges” (-way to control emittance exchange – promoted by R. Palmer): a critically important technical reduction! – yet a conceptual simplificationSkew PIC is easily transformable to the succeeding REMEX (at use of
method !)Linear SPIC concept has been
proven-in-principle in basics (compatibility of the pointed principal properties with simplecticity
)
m
Muons
, Inc.
Slide20What is next
Accomplish studying the linear SPIC dynamics and design
Develop the non-linear
H
amilton’s analysis
Utilize
compensation for
aberrations theory:
impose the required
multipoles
Utilize cleaning
for dangerous non-linear resonances if needed
Implement
parametric resonance
Find a feasible technical
concept of magnetic lattice for SPICDemonstrate (in tracking) expected dynamical features in SPIC channelImplement an adequate RF stuffStudy IC with G4BLDevelop the related beam & optics controlAt success, extend SPIC to REMEX
m
Muons
, Inc.
Slide21machine development
21
Slide22Cost Effective
RF Power Source: Magnetron
22
Muons
, Inc. promoted a 650 MHz magnetron for PIP-2 (a.k.a. Project-X)
Developed and demonstrated a new method of control of magnetrons allowing extremely good stability
Expected phase stability less than 1 degrees
Can make a new MW scale precisely stable RF source
G.
Kazakevich
et al., NA-PAC’13, 966
G.
Kazakevich
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Slide23HPRF Beam T
est at MTA23
400 MeV
H- Beam
Gas-Filled RF cell
Multi-Tesla
solenoid
Proton beam test at MTA
• Test H2, D2, N2, He
• SF6, Dry Air as electronegative gases
• B = 0 or 3 Tesla
• Vary peak RF E, 5 – 50 MV/m
• Vary gas pressure, 20 – 100
atm
• Vary beam intensity (Full intensity 54 mA)
RF pickup 1RF pickup 2
RF power coupler
Optical feedthru
Gas inletHCC Design and Simulation,MAP Spring Meeting 2014, K.
Yonehara
Slide24Beam
-Induced Gas Plasma Experiment
February 20, 201424
RF amplitude with beam-induced gas plasma
• Ionization electrons consume RF power • A small amount of electronegative dopant (O
2) can greatly reduce the plasma loading
• No RF degradation due to magnetic field
▷ e-H2 Collision frequency ≫
Larmor
frequency
DA: Dry Air (20 % O
2
)
Measured plasma loading
• Measured plasma loading effect is 0 ~ 70 % lower than expected in pure H2 gas ▷ Density effect• Plasma loading is 50 times lower by adding 1 % O2HCC Design and Simulation,MAP Spring Meeting 2014, K. Yonehara
M. Chung et al., PRL 111, 184802 (2013)
Slide25Dielectric Loaded
Gas-Filled RF Test
25
Dielectric strength of Al
2O
3 (99.8%)
Measured maximum available RF gradient in
an Al
2
O
3
(Alumina) loaded gas-filled RF test cell
as a function of N2 gas pressure
Maximum surface
RF field
14 MV/min this testBreakdownlimit of N2 gas at low pressureAlumina sampleHPRF test cellL. Nash et al.,IPAC’13
• Compact RF cavity is required for a short-length 6D cooling channel
• Dielectric loaded gas-filled RF cavity is proposed
· Increase RF capacitance by adding dielectric material to shrink the cavity size → Verified · Gas can suppress the surface breakdown of dielectric material
→ Verified
Simulated E
distribution in
DLRF TC
(half cylinder)
r
z
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Slide26Future HRRF experiment
26
Dielectric loaded gas-filled RF test
Dielectric material sample test
Beam test
Cold RF test
RF window test
MTA proton beam
Dielectric loaded RF test cell
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Slide27Thermal calculation of RF Window
in Gas-Filled RF Cell
27
h = 10 W/(m2 K)
dT = 180 °C
160 atm GH2
1
atm
Air
dT
= 10 °C
F.
Marhauser
E = 24 MV/m
• Thermal gradient is worse in a vacuum RF than 1 atm Air• While dense gas acts as a coolant thus, significantly reduces temp. rise on the windowHCC Design and Simulation,MAP Spring Meeting 2014, K. Yonehara
Slide28generic cooling formulae
MAP Spring Meeting 2014,
28
Slide29Key formulae in generic cooling
and HCC theories
Transverse beta tune in HCCAverage transverse beta functionLongitudinal beta function in HCC
Equilibrium emittances
where
29
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Slide30Emittance growth in accelerating helical
channel in helical bunch merge channel
30Validation of HCC theory
Emittance evolution
Vary beta function as a function of channel length (s)
Predicted emittance growth
Predicted trans. emit. growth
Predicted long. emit. growth
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Slide31Study Admittance
31
Longitudinal beta function
Phase slip factor
Initial longitudinal beam phase space
(Red: accepted particles, Blue: lost in 20 m HCC)
Separatrix
Lower dispersion makes longer
longitudinal beta function
→ Larger longitudinal acceptance
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
HCC is
above transition
Prediction
Simulation
Slide32Study transverse acceptance
32
Transverse beta function
Lower dispersion makes longer
transverse beta function
→ Larger transverse acceptance
Study chromaticity in HCC
Higher order dispersion function
HCC Design and Simulation,
MAP Spring Meeting 2014, K.
Yonehara
Zero-
th
order
3-rd order
Best cooling performance
at specific momentum