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9db75c77-4467-4907-a471-fcc3b71a4157
likely . Apart the few modes with large (R/Q), many modes have (R/Q) around one and mostly TM modes . As one can see in Fig. 2, TE modes above 2 GHz have an amplitude close to zero. So, we focused on longitudinal modes. Although individually weak, their large number could still have an effect. Table 2: Longitu...
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5971f081-4239-44f4-a3ef-1d148839c6b3
ext are shown in Fig. 3 and in Fig. 4, respectively. Figure 3: longitudinal R/Q for modes within 1 MHz from the nearest beam harmonic frequency as a function of fre- quency. Figure 4: Qext of longitudinal modes within 1 MHz from the nearest beam harmonic frequency as a function of fre- quency. 17th In...
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dad01bba-8411-4f36-b079-4db1df22cd07
It is possible to assess the voltage induced by the beam using equation 2. Vind = 𝑅𝑅 𝑄𝑄𝑄𝑄𝐿𝐿𝑇𝑇2Iharm (2) With loaded Q, Q L ≈ Q ext and I harm ≈ 2I b√2𝜋𝜋𝑓𝑓𝑟𝑟𝑟𝑟𝑟𝑟 𝜎𝜎𝑓𝑓 with σf (equal to 16 GHz) is the standard deviation of the fre- quency spectrum of the beam and T is the transit time fac...
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d507ad24-a223-4e0a-b45a-33ff4b041c5b
value for all the modes. Summing all modes gives a total voltage of 0.24 V and a power of 5 mW, which is very small. BEYOND 8 GHZ So far, we showed all the modes found in the RF simu- lations and discarded them either because their frequencies are too far from a beam harmonic or their amplitude being negligible. ...
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3402de63-b23e-4ab2-92e2-20985740c3a8
below 8 GHz, we estimate a total voltage of 8. 5 V and a power of 0.17 W. This represents an overestimation, as it assumes the same harmonic current up to 32 GHz, whereas the current actually decreases according to the Gaussian shape of the beam spectrum. The induced voltage is negli- gible compared to the acceler at...
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0a835e55-ac13-4a7c-80c1-4e6af7197f5f
Then we deduced the number of modes within 1 MHz from the beam harmonics and evaluated the induced voltage and the power up to 32 GHz. The total voltage seems to be neg- ligible compared to the accelerating voltage of 9 MV/m. Regarding the HOM power, it is evacuated from the cavity because it is well above the cut ...
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e6edb861-6dd1-4d77-9fb7-e789792d16f8
is designed for the PERLE ERL linac which is based on 5 cells cavities . REFERENCES [1] S. A. Boga cz et al., “Beam dynamics driven design of pow- erful energy recovery linac for experiments”, Phys. Rev. Acc. And Beams 27, 031603 (2024). doi:10.1103/ PhysRevAccelBeams.27.031603 [2] R. Roux et al ., “Status ...
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7275e414-b883-4893-a35a-7163c3efb7ed
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5089 MC5.D04: Beam Coupling Impedance Theory, Simulations, Measurements, Code Development 2473WEP: Poster session WEP5089 Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maint...
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0944c002-cf2a-4ffc-a70f-0710c88e26d1
IMPROVED RESISTIVE WALL EFFECTIVE RADIUS TAKING INTO ACCOUNT YOKOYA FACTORS A. Gamelin∗, V. Gubaidulin, Synchrotron SOLEIL, Saint-Aubin, France S. Thakur, Deutsches Elektronen-Synchrotron DESY, Hamburg, Germany Abstract When computing the resistive wall impedance, one must accountforvariationsinbeampipeaperture,conduct...
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86f08b83-e578-4522-81a5-cbf2d1f7ab87
impedance model, significantly improving the agreement between simulated and measured instability thresholds. INTRODUCTION Theresistivewallimpedance,describingthewaythebeam interacts with the resistive part of the beam pipe walls, is akeycomponentpresentin allimpedancemodels madeto studycollectiveeffectsinsynchrotrons....
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8aac72c8-7a42-4066-b0be-cf87e6cb4993
in different sections with the same properties and then sum- mingthedifferentcontributions. Anotherwayistocompute an “effective radius” [3], which can then be used in analytic expressionstogettheresistivewallimpedanceforthefull accelerator. RESISTIVE WALL EFFECTIVE RADIUS Theresistivewalleffectcanbesplitintoitsshort-ra...
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596b49b0-da18-45a8-97d4-1bc2a2996361
efffor power 𝑛[3, Eq. (27)], is defined as: 𝑎(𝑛) eff= √ 𝜎∗ 𝐿𝛽∗∑︁ 𝑖𝑙𝑖𝛽𝑖 𝑎𝑛 𝑖√𝜎𝑖!−1/𝑛 (1) wherethesummationontheindex 𝑖correspondstothedif- ferentbeampipecomponentsinthering, 𝑙𝑖isthecomponent length, 𝑎𝑖itsaperture, 𝛽𝑖thebetafunctionatitslocation, 𝜎𝑖 itsconductivityand 𝐿=Í𝑙𝑖isthetotallength. T...
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cda92a7a-e54a-459d-93ee-0b35581167b6
enceofonedimensionontheotherisneglected(forexample theimpactofthehorizontalapertureontheeffectivevertical radius). Finally, the present definition does not take into account quadrupolar or monopolar wakes. MODIFIED FORMULA USING YOKOYA FACTORS Weproposeanewdefinitionoftheeffectiveradiusaiming to solve the issues raised...
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7fc58415-9ccc-441b-a2af-06dac01dba92
𝑟𝑛 min𝑖√𝜎𝑖!−1/𝑛 (3) Where 𝑛=1forlongrangeand 𝑛=2forshortrangeregime. For the horizontal and vertical dipolar effective radius, it is defined as: 𝑟(𝑛) xdip= √ 𝜎∗ 𝐿𝛽∗𝑥∑︁ 𝑖𝑌xdip,𝑖𝑙𝑖𝛽𝑥𝑖 𝑟𝑛 min𝑖√𝜎𝑖!−1/𝑛 (4)17th International Particle Accelerator Conference, Deauville, France JACoW Publishing ISBN...
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612e4d55-76c2-4aa7-a80e-5cdced4d2815
𝑟(𝑛) ydip= √ 𝜎∗ 𝐿𝛽∗𝑦∑︁ 𝑖𝑌ydip,𝑖𝑙𝑖𝛽𝑦𝑖 𝑟𝑛 min𝑖√𝜎𝑖!−1/𝑛 (5) For the horizontal and vertical quadrupolar effective radius, it is defined as: 𝑟(𝑛) xquad=± √ 𝜎∗ 𝐿𝛽∗𝑥∑︁ 𝑖𝑌xquad,𝑖𝑙𝑖𝛽𝑥𝑖 𝑟𝑛 min𝑖√𝜎𝑖 −1/𝑛 (6) 𝑟(𝑛) yquad=± √ 𝜎∗ 𝐿𝛽∗𝑦∑︁ 𝑖𝑌yquad,𝑖𝑙𝑖𝛽𝑦𝑖 𝑟𝑛 min𝑖√𝜎𝑖 ...
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4d8a5e84-065f-421e-9c71-36b50368b27d
dielectric or ferromagnetic materials. FORMULA FOR MONOPOLAR WAKE When a beam is going off-center in a vacuum chamber, orwhenthechamberisright/leftortop/downasymmetric, then a monopolar wake component appears [5–7]. Monopolar wake from an off-center device Thegeneralwakefunctioninthehorizontalplane 𝑊𝑥can be written a...
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113346e9-4df3-4e0c-9ee1-30d90b012b82
𝑆 +𝑊quad(𝑧)𝑥′ 𝑇(9) Where 𝑥′ 𝑆and𝑥′ 𝑇are the new source and test positions in thereferentialtranslatedby 𝑥1tobecenteredonthebeam. Thismakesitclearthat 𝑊mono(𝑧)=𝑊 dip(𝑧)𝑥 1+𝑊quad(𝑧)𝑥 1 for an off-center beam. Physically, moving the beam in one directionis similarto movingthe chamber inthe other directio...
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9ff26e61-c516-4d08-b519-24ee8bd5e6b6
crosssection 𝑊monotothedipolarwakeofacircularchamber 𝑊dip,circ: 𝑊mono(𝑧)=𝑌 mono𝑊dip,circ(𝑧)(12) Expressing the monopolar wake 𝑊monousing previous ex- pression, we get: 𝑊mono(𝑧)≈𝑊 dip(𝑧)Δ+𝑊 quad(𝑧)Δ ≈𝑌dip𝑊dip,circ(𝑧)Δ+𝑌 quad𝑊dip,circ(𝑧)Δ ≈Δ(𝑌dip+𝑌quad)𝑊dip,circ(𝑧)(13) Which gives: 𝑌mono≈Δ(𝑌dip+...
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614f7fab-a47f-4b82-8d2c-9d15bca67999
(15) 𝑟(𝑛) ymono=± 1 𝐿√︄ 𝜎∗ 𝛽∗ 1/2,𝑦∑︁ 𝑖𝑌ymono,𝑖𝑙𝑖√︁𝛽𝑦𝑖 𝑟𝑛 min𝑖√𝜎𝑖 −1/𝑛 (16) With±=+if the sum is positive, ±=−otherwise. Where 𝑛=3for long range wake and 𝑛=4for short range wake (asmonopolarwakesderivefromdipolarandquadrupolar wakes). Asmonopolarwakesareonlyweightedbysquare root of beta fu...
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d8e22169-3823-4548-80fe-11aa55e36fd6
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5091 MC5.D04: Beam Coupling Impedance Theory, Simulations, Measurements, Code Development 2475WEP: Poster session WEP5091 Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maint...
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6604adee-6d00-41f5-b205-432a1115edae
Table 1: Resistive Wall Effective Radius for SOLEIL Storage Ring (𝛽∗ 𝑥=7.91m,𝛽∗ 𝑦=8.11m,𝜌∗=3.33×10−8Ωm) Formula ID Long Range (mm) Short Range (mm) configuration𝑟(1) long𝑟(3) xdip𝑟(3) ydip𝑟(3) xquad𝑟(3) yquad𝑟(2) long𝑟(4) xdip𝑟(4) ydip𝑟(4) xquad𝑟(4) yquad Original Open 5.19 28.8 7.93 / / 7.41 28.82 7.81 ...
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0029260b-2c8d-4a8a-a55c-de39df18e12f
two [10]. AnewimpedancemodelforSOLEILwasdevelopedto address previous discrepancies [11]. Key improvements in- clude using the modified effective radius (this paper) for resistive wall calculations—the dominant impedance con- tributor—andaddingquadrupolarresistivewallwakesvia quadrupolareffectiveradius. Themodel’sfreque...
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2a9ccbba-bfe3-452c-8ba7-25e87193b630
The longitudinal effective radii 𝑟(𝑛) longremain similar be- tween the original and modified formulas. However, the modifiedformulayieldsslightlylargerverticaleffectiveradii 𝑟(𝑛) ydipdue to the larger horizontal aperture ( 𝑌ydip≈0.823). ForopenIDs,thehorizontaleffectiveradii 𝑟(𝑛) xdiparesignif- icantly smaller i...
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23e23952-2dfa-4783-a58d-93ca10165da9
observed at ESRF [14]. Theresistivewallimpedanceiscomputedusing IW2D[2] using the short-range effective radius, including a 0.5µm layer of NEG ( 𝜌𝐷𝐶=1.25×10−6Ωm). Figure 2 shows the new impedance model of SOLEIL, with its real part of the longitudinal and vertical dipolar impedance. This new impedance model has been...
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b89c7ff0-f767-4e96-a548-5c70a9147043
and simulation.17th International Particle Accelerator Conference, Deauville, France JACoW Publishing ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5091 2476 MC5.D04: Beam Coupling Impedance Theory, Simulations, Measurements, Code DevelopmentWEP5091 WEP: Poster session Content from this work m...
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4e860e7e-849b-4c34-93d5-1d98f562cc5b
REFERENCES [1]A.Chao,Physicsofcollectivebeaminstabilitiesinhighen- ergy accelerators. Wiley, 1993. [2]N.MounetandE.Métral,“Electromagneticfieldcreatedbya macroparticleinaninfinitellongandaxisymmetricmultilayer beam pipe”, Rep. CERN-BE-2009-039, 2009. [3]G. Skripka, R. Nagaoka, M. Klein, F. Cullinan, and P. F. Tavares, ...
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7ddcf378-657f-43e6-a7b2-7a02094ca8ae
tor”,Phys. Rev. Accel. Beams, vol. 21, no. 2, p. 024401, Feb. 2018.doi:10.1103/PhysRevAccelBeams.21.024401 [6]G. Stupakov and D. Zhou, “Transverse wakefields due to asymmetric protrusions into a vacuum chamber”,Nucl. In- strum. Methods Phys. Res., Sect. A, vol. 764, pp. 378–382, Nov. 2014.doi:10.1016/j.nima.2014.08.006...
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949d7ddc-1109-427f-b48a-ed58e9fc6ead
Jul. 2006.[10]R. Nagaokaet al., “Beam Instability Observations and Anal- ysis at SOLEIL”, inProc. PAC’07, Albuquerque, NM, USA, paper WEOBC01, pp. 2019–2021, Aug. 2007. [11]S.Thakur, “Beamcouplingimpedancestudy andvalidation of instability models for SOLEIL”, Master thesis, Université Paris-Saclay, 2025. [12]R. L. Gluc...
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0896c581-b276-45fc-90a6-0190c361c4a1
Rev. ST Accel. Beams, vol. 9, no. 11, p. 114402, Nov. 2006. doi:10.1103/PhysRevSTAB.9.114402 [15]A. Gamelin, W. Foosang, and R. Nagaoka, “mbtrack2, a Col- lectiveEffectLibraryinPython”,inProc.IPAC’21,Camp- inas, Brazil, May 2021, pp. 282–285. doi:10.18429/JACoW-IPAC2021-MOPAB070 [16]A. Gamelin, W. Foosang, N. Yamamoto,...
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4c421062-2ca2-43ee-8b57-da81c540bfc4
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5091 MC5.D04: Beam Coupling Impedance Theory, Simulations, Measurements, Code Development 2477WEP: Poster session WEP5091 Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maint...
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93908e2a-c1d0-4d95-8405-bbbe4bbe5b9b
DOUBLE RF SYSTEM DESIGN USING NORMAL CONDUCTING PASSIVE HARMONIC CAVITY FOR SOLEIL II A. Gamelin∗, M. Diop, V. Gubaidulin, P. Marchand, R. Nagaoka, F. Ribeiro, L. Zhao Synchrotron SOLEIL, Saint-Aubin, France Abstract Doublerfsystemsarecriticalforachievingtheparame- ters of fourth-generation synchroton light sources. Th...
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08d85b31-cc44-4e90-b825-e0b217029854
pected performances of the double rf system, using the opti- mized normal conducting passive harmonic cavity parame- ters, are presented. INTRODUCTION SOLEIL II [ 1–3], is a 4th-generation synchrotron light source(4GLS)presentlyinconstructionphase. Likemost 4GLS, it will rely on a double rf system, composed of main rf ...
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4a455619-e63c-4ea1-b56d-862e5f9d9c67
cavities,basedonacustomdesignmadeintheframeworkof a collaboration with the ESRF [ 8,9], which operates on the TM020mode,toachievelow 𝑅/𝑄andlargedampingoflower andhigherordermodes(LOMandHOM).Thesecavities are equipped with a coupling port, which will be used for therf conditioningbeforetheinstallationinSOLEILII,and ma...
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60003bf4-ef42-46ba-a1c4-c7b6ec932c55
∗alexis.gamelin@synchrotron-soleil.frTable 1: SOLEIL II StorageRing Parameters Parameter Value Electron beam energy 𝐸0 2.75GeV Natural emittance 84pm Circumference 𝐿 353.97m Revolution frequency 𝑓0 846.9kHz Rf frequency 𝑓rf 352.3MHz Harmonic number ℎ 416 Momentum compaction factor 𝛼𝑐 1.057×10−4 Energy loss per tu...
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e4b31f1d-0874-4413-847f-41cb7ae4f4f2
ALBuMSsolvesasystemofcoupledHaïssinskiequations[ 13] andcheckswhethertheresultingequilibriumisstableornot for various instabilities. Figure1showsthepredictedinstabilitiesforSOLEILII storageringwith2passiveHC.Foreachpairofbeamcurrent 𝐼0and HC tuning angle 𝜓2in the plot, either the ALBuMS algorithm(left)or mbtrack2 tra...
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aa973825-52e2-4f11-8195-5dd915196765
bility(FMCI)[ 14],correspondingtothecouplingbetween the dipole ( 𝑚 = 1) and quadrupole ( 𝑚 = 2) azimuthal modes, is shown in red. Both the periodic transient beam loading(PTBL)instability[ 15,16]andpureCBIofcoupled- bunch mode number 𝑙 = 1are shown in green. Overall, the agreement between the predicted instability u...
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b81e45c3-c712-4b6d-9708-73d0d8f170f6
Figure 1: Instabilities predicted for the SOLEIL II storage ring, with ALBuMS(left) and with mbtrack2 (right). A HOM is included with 𝑓HOM= 1.7GHz,𝑄HOM= 670and𝑅𝑠HOM= 8.8kΩ. Using 2 HC, i.e. (𝑅/𝑄)2= 60Ω. Figurefrom [ 7]. dealt with by using a direct rf feedback [ 6,17] lowering the MC effective impedance seen by t...
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f80ba156-68e1-4847-a329-72c8267da6f3
𝑅[19]. Figure 2shows the maximum 𝑅achievable with a stable beam in the ((𝑅/𝑄) 2,𝑄02)parameter space for a given beam current of 𝐼0= 500mA. Figure 2: Maximum Touschek lifetime ratio 𝑅achievable with a stable beam. (𝑅/𝑄)2is varied for different values of 𝑄02for a beam current of 𝐼0=500mA. Figure from [ 7]. As ...
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ForSOLEILII,theHCneedstobeusedfrom 200mAup to500mAtocoveroperationsin32bunchmodeanduniform fillingmode. Using ALBuMS,wewereabletospecifyoptimal (𝑅/𝑄)2and𝑄02values for cavity design. The choice was madetouse2or3HCof (𝑅/𝑄)2=30Ωeachwith 𝑄02= 31×103, to be able to vary the total (𝑅/𝑄)2from60Ω to 90Ω. It is close to...
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b2242016-d85d-4ead-af70-e595d79b02e1
impedancemodel[ 20],HOMsfromthemaincavitiesand IBS[21]. TheMCmodelincludesaproportional-integral loop to converge toward the voltage and phase setpoints and a direct rf feedback, which helps against the FMCI. Foruniform fillingcases at 500mA,the resultsfrom Ta- ble2align closely with the ones from ALBuMS, like the left...
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96eddd61-d61a-4caf-8d66-d0c70d72cb8e
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5092 MC5.D05: Coherent and Incoherent Instabilities Theory, Simulations, Code Development 2479WEP: Poster session WEP5092 Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maint...
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36e223c1-0a80-478d-a8fc-707546c8dfd6
Table 2: Best performances achieved at equilibrium without instabilities while scanning the HC tuning angle 𝜓2. Tracking withmbtrack2 includes direct rf feedback, PI feedback, impedance model, HOMs and IBS. The transverse emittance ratio is set at 30% using white noise excitation. HC Beam HC tuning RMS bunch Touschek ...
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3HCs, thetotalR/QistoohighandtriggersthePTBLin- stability largely before reaching optimal bunch lengthening. With2HCsplusoneparked,thereisaminorperformance reduction due to the R/Q of the parked cavity. Forthe32bunchmodeat 200mA,itwasexpectedfrom semianalytical computations that the 3 HC case would be more favorable be...
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from optimal bunch lengthening, can be explained by the combination of two single bunch effects: the reduced bunch length from HOM capacitive impedance [ 22] and the strong coherent tune shift from broad band impedance. The first effect reduces bunch length, which is known to lower the PTBL threshold [ 16] and the seco...
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27951e3f-87d5-42ae-9d0c-aa4abc705be5
performance. The modeling of LLRF feedbacks in trackingsimulation must be improved to better match the logic implemented in theSOLEILIIhardwaresystem. Inparticular,toquantify therisk ofself-triggeringthedipole-quadrupoleinstability at high gain [ 7], and to evaluate the need for alternative mitigationagainsttheFMCI.Exp...
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a395ad25-dfbe-49c0-8491-b8c9e79d40be
system. A dedicated study of these instabilities and the associated feedback requirements should be done. CONCLUSION TheSOLEILIIdoublerfsystemhasbeenoptimizedus- ingacombinationofthesemianalyticalsolver ALBuMSfor fast multi-dimensional scans and the multibunch tracking codembtrack2 for detailed verification. This appro...
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in 32 bunch mode. The 32 bunch case also illustrates the importance of single-bunch effects, which can impact the PTBL threshold significantly at high charge per bunch. REFERENCES [1]Synchrotron SOLEIL, “Conceptual Design Report - Syn- chrotron SOLEIL Upgrade”, Synchrotron SOLEIL, White paper, Jul. 2021. [2]A.NadjiandL...
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Yamamoto, “Beam dynamics with a superconducting har- monic cavity for the SOLEIL upgrade”, in Proc. IPAC’22 , Bangkok, Thailand, Jun. 2022, pp. 2229–2232. doi:1/zero.alt4.18429/JACoW-IPAC2/zero.alt422-WEPOMS/zero.alt4/zero.alt4317th International Particle Accelerator Conference, Deauville, France JACoW Publishing ISBN:...
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[5]A.Gamelin etal.,“Beamdynamicsusingsuperconducting passive harmonic cavities with high current per bunch”, in Proc.FLS’23 ,Luzern,Switzerland,Aug.–Sep.2023,pp.14– 17.doi:1/zero.alt4.18429/JACoW-FLS2/zero.alt423-MO3B2 [6]N. Yamamoto, T. Yamaguchi, P. Marchand, A. Gamelin, and R. Nagaoka, “Stability survey of a double ...
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[8]A. D’Elia, “4th harmonic cavities in TM020 for ESRF-EBS and SOLEIL-II”, in HarmonLIP 2024 , ESRF, Grenoble, France, 2024. [9]P. Borowiec, “The ESRF rf system update”, in ESLS RF and HarmonLIP 2025 ,ALBASynchrotron,Spain, 2025. [10]A. Gamelin, W. Foosang, and R. Nagaoka, “mbtrack2, a col- lectiveeffectlibraryinPython...
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[13]J. Haïssinski, “Exact longitudinal equilibrium distribution of stored electrons in the presence of self-fields”, Il Nuovo Cimento B (1971-1996) , vol. 18, no. 1, pp. 72–82, 1973. doi:1/zero.alt4.1/zero.alt4/zero.alt47/BF/zero.alt4283264/zero.alt4 [14]R.A.Bosch,K.J.Kleman,andJ.J.Bisognano,“Robinson instabilities wit...
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loading effect with passive harmonic cavities in electron stor- agerings”, Phys.Rev.Accel.Beams ,vol.25,no.2,p.024401, Feb. 2022. doi:1/zero.alt4.11/zero.alt43/PhysRevAccelBeams.25./zero.alt4244/zero.alt41 [17]K. Akai, “Stability analysis of rf accelerating mode with feedbackloops underheavybeamloading inSuperKEKB”, Ph...
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doi:1/zero.alt4.11/zero.alt43/PhysRevSTAB.4./zero.alt43/zero.alt47/zero.alt41 [20]V.Gubaidulin,A.Gamelin,A.Loulergue,R.Nagaoka,and P.Schreiber,“TransverseinstabilitiesinSOLEILIIstorage ring in the presence of a harmonic cavity”, in Proc. IPAC’24 , Nashville, TN, USA, May 2024, pp. 821–824. doi:1/zero.alt4.18429/JACoW-I...
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on bunch lengthening”, Nucl. Instrum. Methods Phys. Res. A , vol.1080, p. 170672, 2025. doi:1/zero.alt4.1/zero.alt416/j.nima.2/zero.alt425.17/zero.alt4672 [23]M.B.Alves,“Theoreticalmodelsforlongitudinalcoupled- bunchinstabilitiesdrivenbyharmoniccavitiesinelectronstor- agerings”, Phys.Rev.Accel.Beams ,vol.28,no.3,p.0344...
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MULTI-BUNCH LONGITUDINAL BEAM DYNAMICS IN THE ELETTRA 2.0 STORAGE RING WITH A DOUBLE-RF SYSTEM S. Dastan∗, S. Di Mitri, E. Karantzoulis, S. Krecic, M. Lonza, K. Manukyan Elettra-Sincrotrone Trieste S.C.p.A., Trieste, Italy Abstract Wepresentasystematicmulti-bunchlongitudinalbeam dynamics study for the Elettra 2.0 stora...
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35506c43-6ff7-45bd-8405-88db36917bed
the longitudinal feedback. The analytical predictions are benchmarked against multi-bunch tracking in Elegant. In parallel, we optimise the double-RF parameters for both uniformandnon-uniformfillingsusingmbtrack2tracking with the ALBuMS (Algorithm for Longitudinal Multibunch Beam Stability) algorithm. Forthe operationa...
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groupconsistsofHOM-drivencoupled-bunchinstabilities. These are driven by higher-order modes of the main RF cav- ityand areanalyzedusing HOMparameters obtainedfrom electromagnetic simulations. This framework is particularly relevant for bunch-lengthened beams in nonlinear or near- quartic longitudinal potentials, where ...
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mechanisms can dominate different regions of parameter space and strongly constrain the accessible harmonic-cavity operating window. The purpose of this paper is therefore to combine these two levels of analysis: first, the study of HOM-driven coupled-bunch growth rates and their reduc- tionviaLandaudampinginthedouble-...
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c006c5d7-5edf-426b-b9af-e087b7e8f4a2
for Elettra 2.0 [ 3]. To identify the modes that can drive longitudinalcoupled-bunchinstabilities,aroughimpedance threshold criterion is applied [ 4]: 𝑍thresh ∥=1 𝑁𝑐⋅1 𝑓HOM⋅2𝐸0𝑄𝑠 𝐼0𝜏𝑠(1) Here,𝑁𝑐is the number of cavities, 𝑓HOMis the HOM fre- quency,𝐸0isthebeamenergy, 𝑄𝑠isthesynchrotrontune, 𝐼0 isthetota...
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This ensures that each HOM effectively couples to a sin- glerevolutionharmonic, withthestrongestinstabilitynear 𝑓HOM≈ 𝑁𝑓rev. After filtering, 69 HOMs are retained. Growth Rate Analysis ThegrowthratesofthefilteredHOMsareevaluatedusing two approaches. SHO model: The simple harmonic oscillator (SHO) modelassumes arigid...
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ee3779af-4747-468a-916a-c00d7b453bd8
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5096 2482 MC5.D05: Coherent and Incoherent Instabilities Theory, Simulations, Code DevelopmentWEP5096 WEP: Poster session Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maint...
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0 1 2 3 4 5 6 7 Frequency [GHz]050100150200250300350400Impedance [k ]Longitudinal Impedance vs Threshold PEC HOM PMC HOM Threshold (No 3HC) Threshold (With 3HC)Figure 1: Longitudinal impedance of HOMs compared to the instability threshold. PEC (perfect electric conductor) andPMC(perfectmagneticconductor)denotethebounda...
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thedetuningdirection). UnliketheSHOmodel,theresponse is asymmetric around resonance. Tracking Validation Theanalyticalpredictionsarebenchmarkedagainstmulti- bunchtrackingsimulationsperformedwithElegant[ 6]. The simulationsarecarriedoutassuminguniformfillingwith432 bunches,eachrepresentedby 105macroparticles. Thetrack- ...
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order. Thethird-harmoniccavityismodeledasanactiveRF -3 -2 -1 0 1 2 3 = (2Q/HOM)(HOM-N0)-3000-2000-10000100020003000400050006000growth rate [1/s]Figure3: GrowthratesofHOMsasafunctionofnormalized detuning ̄ 𝜔including Landau damping (HHC model). Each curve corresponds to a different HOM. 0 2000 4000 6000 8000 10000 120...
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amplitude in logarithmic scale, from whichthe exponential growth rate is extracted via linear fitting. system. Thebeamistrackedfor80000turns,withagradual ramp-up of the impedance over the first 5000 turns to avoid artificial transients. ForthisHOM,the SHOmodelpredicts agrowthrateof 1710s−1,whiletheHHCmodelpredictsaredu...
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results, shown in Fig. 4, confirm that the instability initially followstheSHObehaviorandthentransitionstotheHHC regime,showinggoodagreementbetweenanalyticalmodels and tracking simulations.17th International Particle Accelerator Conference, Deauville, France JACoW Publishing ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi:...
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89.970 89.975 89.980 89.985 89.990 89.995 90.000 Detuning [kHz]100150200250300350400Current [mA]Uniform_F illing 0.10.2 0.30.4 0.5 0.60.7 0.80.9 1.01.01.01.01.01.0 1.11.11.11.1 1.2 1.31.31.31.4 Dipole Robinson instability Quadrupole Robinson instability F ast mode -coupling instability PTBL Not converged 0.00.20.40.60....
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ble. The cavity detuning is expressed in terms of the tuning angle𝜓, defined from the cavityvoltageand beam loading conditions [ 1]: tan𝜓 = 𝑄𝐿(𝜔𝑟 𝜈𝜔rf−𝜈𝜔rf 𝜔𝑟) (2) where𝜈istheharmonicnumberofthecavity. Theresults show that the dominant instability in this configuration is thedipoleRobinsoninstability. Byse...
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ff188457-edb1-4ea6-b2c3-016e969ac9bf
89.97∘–89.999∘, corresponding to 7–195 kHz. The re- sults show that for detuning values between 7 and 71 kHz (89.97∘–89.997∘), the beam is strongly affected by periodic transientbeamloading(PTBL)instability,asshowninFig. 5. AsshowninFig. 6,thegrowthrateofthePTBLinstability exceedsthelongitudinalfeedbackcapabilityofElet...
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ablyoverthefulldetuningrange. However,restrictingthe analysistothesafeinterval(72–107kHz),astableregioncan stillbeidentified. In thiscase, theoptimaldetuningrange is found between 80 and 85 kHz, where: 𝜁 = 0.85 –0.90, Bunchlength: 15.2–16psandTouscheklifetimeimprove- ment:×2.4–2.5. Tracking Benchmark with mbtrack2 The...
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condition. CONCLUSION Amulti-bunchlongitudinal beamdynamics studyof the Elettra 2.0 double-RF system has been presented. The in- clusion of Landau damping significantly reduces both the numberofcriticalHOMsandtherequireddetuning,from about±69kHzin the SHO model to about −46kHz(or ∼ 30kHz) in the HHC model. Tracking sim...
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ce36039f-26df-4685-babb-4bf342edb2c3
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5096 2484 MC5.D05: Coherent and Incoherent Instabilities Theory, Simulations, Code DevelopmentWEP5096 WEP: Poster session Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maint...
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REFERENCES [1]A. Gamelin et al., “Algorithm for longitudinal multibunch beam stability (ALBuMS)”, Phys. Rev. Accel. Beams, vol. 28, p. 054401, 2025. doi:1/zero.alt4.11/zero.alt43/PhysRevAccelBeams.28./zero.alt4544/zero.alt41 [2]N. Shafqat and C. Pasotti, “Elettra cavity HOM and dedicated dampers design”, presented at t...
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97180cfc-2560-47a8-9652-08507690ef4c
pp. 846–848. [5]R. R. Lindberg, “Theory of coupled-bunch longitudinal insta- bilitiesinastorageringforarbitraryRFpotentials”,Phys.Rev. Accel. Beams, vol. 21, p. 124402, 2018. doi:1/zero.alt4.11/zero.alt43/PhysRevAccelBeams.21.1244/zero.alt42 [6]M. Borland, “Elegant: A flexible SDDS-compliant code for acceleratorsimulat...
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43f0564c-bad4-4e5f-b997-e84640e1a180
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5096 MC5.D05: Coherent and Incoherent Instabilities Theory, Simulations, Code Development 2485WEP: Poster session WEP5096 Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maint...
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RECENT PROGRESS IN IMPEDANCE MITIGATION FOR HL-LHC BEAM INSTRUMENTATION M. Neroni∗, W. Andreazza, R. Calaga, W. Hofle, I. Karpov, G. Khatri, M. Krupa, L. Margerison, M. McLean, C. Pasquino, H. Pommerenke, J. Storey, C. Vollinger CERN, Geneva, Switzerland Abstract IntheHigh-LuminosityLHC(HL-LHC)era,increased beam intens...
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ecaecc69-6669-4475-a34d-977d47dc350b
impedancemitigationstrategythatreducesbeam-induced heating at high intensities, maintaining device functionality and beam stability in the HL-LHC era. INTRODUCTION In preparation for the High-Luminosity LHC (HL-LHC) upgrade, the request for increased beam intensities, while maintaining beam quality poses stringent cons...
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70a70dbc-d062-4b41-bb86-eb8a3334ea43
and𝑁beamaccounting forthe total number of bunches. The Fouriertransformofthetotalbeamdistributionisthenor- malized beam spectrum, Λ(𝜔rev). Atthesametime,itmustbeensuredthatanyadditional sourceofbeamcouplingimpedancedoesnotsignificantly impact the beam stability threshold. In the longitudinal plane, it was observed th...
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ba780dd5-e604-4995-9d89-74c845410de4
priortoinstallation. Twomitigationexamplesarepresented: ∗michela.neroni@cern.ch Beam 400 mm 120 mm 40 mm 46.5 mm direction 1163 mm(a) 400 mm 120 mm 40 mm 45.5 mm 1163 mm 90 mm (b) Figure1: Initial(a)andfinal(b)geometryofhigh-bandwidth pick-upsusedforintra-bunchmeasurementsandforthecrab cavity noise feedback and low-lev...
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a4e48d20-ac50-4b98-95e5-9ee727cc33b1
sists of400mmlong striplines for intra-bunch measure- ments [3], followed by button pick-ups and 120mmlong striplinesdedicatedtothelow-levelRFsystemcrabcavity noisefeedback[ 4]. Theinnersurfaceofthestainless-steel beam pipe has a 10𝜇𝑚copper coating to reduce resistive wall impedance. Below 50MHz, even with the copper...
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c450d371-c5d7-430b-8c6b-52191e2ac4ca
wereassumedtobeimpedancematched,asintherealsys- tem, to prevent undesired reflections within the structure. Figure2shows the resulting longitudinal impedance for the configurationillustratedinFig. 1a. Anoscillatorybehaviour isobservedupto 2GHz,associatedwiththestriplinelength17th International Particle Accelerator Conf...
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up to 950 ΩFigure 2: Longitudinal impedance from 1 MHz to 3.5 GHz: in blue for initial design of high-bandwidth BPMs and in red for the final design. and consistent with the analytical expression reported in Ref. [6]. Above2GHz, a narrowband resonance is observed at 2.6GHzwith a shunt impedance of approximately 950Ω. T...
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geometry demonstrate a significant impedance reduction (Fig.2, red). The resonance at 2.6GHzis completely sup- pressedandthemaximumoftheimpedancemagnitudeisre- duced to about 105Ωat2.71GHz . Considering four BPMs per beam, the updated design contributes to a total effective Im(𝑍/𝑛)of0.05mΩthatislowercomparedto 0.07mΩ...
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2.6GHz. A trapped mode is observed in the beam pipe regionwheretheradiustransitionsfrom 40mmtoalarger value of 46.5mm, and then backto 40mm. Ceramic Steel cathode Fused silica tube HV feedthrough Detector region under RF shield holders ≈87 mm Beam directionFigure 4: BGI monitor geometry: initial design (top) and impeda...
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it wascrucial to assess the impact of the high-voltage(HV) feedthrough. Figure 5shows the real part of the impedance upto2GHz,comparingidealmatchingatthefeedthrough port (blue), a short circuit (green), and an open circuit (yel- low). Withoutproperimpedancematching,internalreflec- tions introduce undesired resonances, ...
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2637ad6b-3c8c-476d-8534-032eda0db508
in Fig.6, assuming a matched HV feedthrough. Two broad- band (𝑄 ≈ 1) contributions can be identified at 169MHz and at882MHz. Additional narrowband resonances are 0.0 0.5 1.0 1.5 2.0 Frequency [GHz]02505007501000Real(Z) [Ω]impedance matching short circuit open circuit Figure 5: Real part of the longitudinal beam coupli...
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Table 1: Resonant frequency, quality factor and shunt impedance for narrowband resonances in the BGI before and after mitigation. Before After 𝑓r[GHz]𝑓r[GHz]𝑓r[GHz] 𝑄0𝑄0𝑄0𝑅s[Ω]𝑅s[Ω]𝑅s[Ω]𝑓r[GHz]𝑓r[GHz]𝑓r[GHz] 𝑄0𝑄0𝑄0𝑅s[Ω]𝑅s[Ω]𝑅s[Ω] 0.808 328 38 0.847 120 2 1.516 56 21.6 Broadband contribution left 1.744...
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0a848044-2258-4bfd-8542-37259eb8cbdd
about113W. A powerloss of 66Woriginatesfrom broad- bandcontributionsbelow 500MHz . Thepowerlossdistribu- tionshowsthat98%ofthispowerispassingthroughtheHV feedthroughport. Consequently,aresistiveloadmatching thecharacteristicimpedanceoftheHVfeedthroughmustbe incorporatedtodissipatetheextractedpower. Theresidual power lo...
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theintroductionofalargeropeningasindicatedinthered circle in the geometry in Fig. 4(bottom). This modification effectivelysuppressesthebroadbandimpedanceat 882MHz aswellastheresonancesat 1.5GHzand1.85GHz . Electric field monitors at the two major impedance peaks, 808MHz and1.91GHz , are shown in Fig. 7. They indicated ...
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tom). hancedbytheceramicholders. Thiseffectcanbeinterpreted as a parallel plate capacitor to ground, with a capacitance of approximately 𝐶 = (𝜀𝑅𝜀0𝐴)/𝑑. The volume of the ce- ramicholders(macor, 𝜀𝑅= 6)wasreducedfrom 8.4𝑐𝑚3to 2.2𝑐𝑚3with the aim of obtaining a decrease of the equiv- alent𝜀𝑅inthegap. Addition...
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andthemaximumtotalpowerlossdecreasesto 78W. The proposed mitigation measures are currently under consider- ation, with a major focus on the matching network for the HV feedthrough. CONCLUSION Theresultspresentedhighlightthatimpedancemitigation is essential to reduce beam-induced heating and to ensure componentintegrity...
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affecting the primary functionality of the device. A beam stability assessment for the HL-LHC BGI will follow based on the finalised design. Impedance simulations will be vali- datedbyRFmeasurements beforeinstallationwiththe aim of benchmarking the electromagnetic model.17th International Particle Accelerator Conferenc...
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ACKNOWLEDGMENTS TheauthorswouldliketoexpresstheirgratitudetoHeiko Damerau for the fruitful discussions. REFERENCES [1]M. Furman, H. Lee, and B. Zotter, “Energy Loss of Bunched Beams in RF Cavities”, Lawrence Berkeley Laboratory, CA, USA, Rep. SSC-086, Aug. 1986. [2]I.KarpovandE.Shaposhnikova,“Generalizedthresholdof lon...
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bc2c3a98-a769-40ff-a76b-1ceeb1086a5e
[5]CST Studio Suite, https://www.3ds.com/products- services/simulia/products/cst-studio-suite/[6]K.Y.Ng,“ImpedancesofStriplineBeamPositionMonitors”, Part. Accel. , vol. 23, pp. 93–102, 1988. [7]C.Pasquino etal.,“HL-LHCBGImechanicaldesign:integra- tion, impedance and vacuum aspects”, presented at IPAC’26, Deauville,Fran...
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vant, and C. Zannini, “A Python Package to Compute Beam- Induced Heating in Particle Accelerators and Applications”, inProc. HB’23 , Geneva, Switzerland, Oct. 2023, pp. 611– 614. doi:1/zero.alt4.18429/JACoW-HB2/zero.alt423-THBP5217th International Particle Accelerator Conference, Deauville, France JACoW Publishing ISBN...
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ADVANCED BEAM COUPLING IMPEDANCE MODELING FOR LHC AND HL-LHC APPLICATIONS∗ C. Zannini†, C. Antuono, E. de la Fuente Garcia, G. Rumolo, B. Salvant, L. Sito, J. Sonpar CERN, Geneva, Switzerland Abstract Accuratebeamcouplingimpedancemodelingisessential for predicting collective effects and ensuring stable high- intensity ...
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operation. In this work, we present recent advancements in high-fidelity impedance modeling and demonstrate their relevance through representative case studies in the LHC. Theseexamplesshowhowimprovedmodeling,combined with beam-based diagnostics, providescritical input forop- erationalstrategiesandsupportsinformeddesig...
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489c8209-b3dd-4103-8f03-fd81eaa45987
loadsandmechanicalstressescaninduceprogressivegeo- metricchanges,suchaslossofelectricalcontactordeforma- tionofshieldingstructures,leadingto adynamicevolution of the impedance during operation. These observations motivate the development of high- fidelitymodelingapproachescapableofcapturingbothde- tailedgeometricalfeat...
D:\Daily_ihep\Conferences\IPAC2026\WEP\WEP5101.pdf
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5b9cc2a9-212e-4d15-8bf8-76112420acbb
thefailure. Beam-inducedlocalizedpowerdepositiononthe ∗Researchsupported bythe HL-LHC project †carlo.zannini@cern.ch Figure 1: Example of spring contact geometry used in impedancesimulationsforanID212mm module. Thetop- left picture shows the transition tube, contact fingers, and the spring ensuring electrical contact b...
D:\Daily_ihep\Conferences\IPAC2026\WEP\WEP5101.pdf
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16914972-7db8-4fa6-99d6-e5378b7d722e
metric distribution of the fingers, which led to the observed localized heating. The estimated power levels were found to be consistent with the observed failure in the presence of degraded fingercontact, explainingwhythe issue occurred onlyinalimitednumberofmodules. Figure 2illustratesthe localizedheating predictedbye...
D:\Daily_ihep\Conferences\IPAC2026\WEP\WEP5101.pdf
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