Grohmann, Steffen

Koroveshi, Xhesika

Puppo, Paola

English

KITopen

Update on the suspension thermal noise modelling of the ET-LF cryogenic payloadPaola Puppo, E. Majorana, P. Rapagnani  INFN and Univ. Sapienza Roma Xhesika Koroveshi, Steffen GrohmannKarlsruhe Institute of TechnologyThe Last Stage SuspensionThe role of the Last Stage Suspension is to compensate the residual seismic noise and to steer the optical components maintaining the relative position of the interferometer mirrors.Bernardini A., Majorana E. ,Puppo P. ,Rapagnani P. , Ricci F., Testi G. "Suspension last stages for the mirrors of the Virgo interferometric gravitational wave antenna." Rev. Sci. Instr. 70, no. 8 (1999): 3463.Components:Marionette: Mirror control with actuators (coil-magnets, electrostatic) between the upper suspension stage and marionette; Reaction Mass (RM): Mirror steering with (coil-magnets, electrostatic) actuator between RM and mirror; Mirror protection; in AdVreplaced with the cage (screen)Mirror: with monolithic suspension.Bernardini A., Majorana E. ,Puppo P. ,Rapagnani P. , Ricci F., Testi G. "Suspension last stages for the mirrors of the Virgo interferometric gravitational wave antenna." Rev. Sci. Instr. 70, no. 8 (1999): 3463.Last Filter from upperSuspension (Filter 7)MarionetteCage (Screen)Mirror4ET-LF Payload Design ParametersStarting point: Branched systemET conceptual design 2011: ET-0106C-10 – Fig.11Marionette Reaction MassTest MassMass (kg) 211 211 211Wire diameter(mm)3 3 3Wire length (m) 2 2 2Material Ti6Al4V Silicon SiliconLosses 10-4 10-9 10-9Temperature (K) 2 10 10Wire Tension(MPa)866 70 70GWD Vac22  - Elba – P. Puppo30.09.2022ET-LF Payload Design ParametersStarting point: Branched systemMarionette Reaction MassTest MassMass (kg) 211 211 211Wire diameter(mm)3 3 3Wire length (m) 2 2 2Material Ti6Al4V Silicon SiliconLosses 10-4 10-9 10-9Temperature (K) 2 10 10Wire Tension(Mpa)866 70 70Starting concept for cooling : dampened heat link directly connectedto the marionette.BUT THIS IS an ISSUEMirror diameter 450 mmMaximum power absorbed 100 mWET conceptual design 2011: ET-0106C-10 – Fig.115GWD Vac22  - Elba – P. PuppoWith heat links (a bad case)Pure Aluminum Heat Link (loss angle: 0.5)*from Ettore Majorana’s talk at GWADW2021 May-18-2021• The Heat Links cannot be directlyconnected to the marionette, theyintroduce vibrationsand also increase the STN • In agreement with the analitical study of the heat link effectbased on the Saulsonpaper by P. Ruggi.6GWD Vac22  - Elba – P. PuppoDesign of the payload (recursive)Mechanical design• MaterialsMechanical, thermalproperties, losses• Breaking strength• Interfaces HCB, couplings• Shapes of wires (diameter, length)• Frequencies:• Must be outside sensitivitybandwidth• Must be compliant with control requirementsThermal designCooling efficiency, cryostat designHeat to be extracted• 500 mW very conservative• 300 mW possible with the knownabsorption properties• Heat extraction• No noise injection form links• Thermal resistance of the interfaces as low as possibleSuspension Thermal noiseStrain noise limit : 5 10-25 1/sqrt(Hz) @ 10 Hz 7GWD Vac22  - Elba – P. PuppoA coolingscheme for thepayloadATTENUATORATTENUATORCryostatPlatform (PF) with BladesMarionetteActuation Cage with coils, motors, bafflesActs as a furherthermal shieldaround mirror• Double pendulum• Platform with blades for vertical attenuation• Heat links on the screen• Screen connected to PF with 3 wires (for angular control)• Link cooled with PT Cryocoolers and attenuatedwith mechanical filters;• Heat conduction throughthe marionette and mirrorwires8GWD Vac22  - Elba – P. PuppoImportant Parameters for the suspension of the test masses𝑫𝑫 = 𝟏𝟏𝑳𝑳𝒘𝒘𝑬𝑬 𝑰𝑰𝑻𝑻𝑻𝑻𝑻𝑻𝑻𝑻E: Young ModulusI: Section moment of inertiaLw: wire lengthLarger dilution implies a lower level of noise10GWD Vac22  - Elba – P. PuppoThe dilution factor𝑋𝑋𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡2 𝜔𝜔 =4𝑘𝑘𝑏𝑏𝑇𝑇𝑀𝑀𝜔𝜔𝜔𝜔𝑝𝑝2 𝜑𝜑𝑝𝑝 𝜔𝜔𝜔𝜔𝑝𝑝2 − 𝜔𝜔22 + 𝜔𝜔𝑝𝑝2𝜑𝜑𝑝𝑝 𝜔𝜔2≈ 4 𝑘𝑘 𝑇𝑇𝑀𝑀 𝜔𝜔5𝜑𝜑𝑤𝑤𝐷𝐷for     𝜔𝜔2 ≫ 𝜔𝜔𝑝𝑝2The bending pointThe bending point wires length𝑦𝑦𝑏𝑏𝑡𝑡𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏 =𝐸𝐸 𝐼𝐼𝑇𝑇𝑡𝑡𝑏𝑏𝑇𝑇E: Young ModulusI: Section moment of inertiaTens: wire tensionThe bending point must layon the center of mass of the suspended body𝐿𝐿 = 𝐿𝐿𝐿𝐿 + 2𝑦𝑦𝑏𝑏𝑡𝑡𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏 for mirrors11GWD Vac22  - Elba – P. PuppoHeat extractionSapphire MirrorSilicon MirrorThickness (cm) 35(diam450mm)36(diam550mm)Substrate(ppm/cm)50 10Coating (ppm) 1 1Pcoat (mW) 18 18Psubstrate (mW) 112 12Ptot (on ITMs) 130 30Ptot (on ETMs) 18 18Mirror mass 220 kg Beam size  9cmP in the arms 18 kWFinesse 880Recycling factor 21.6PRC=18kW/(2F/pi)=32 W (Power in recycling cavity)A conservative heatvalue of 500 mWis used for the payload design.12GWD Vac22  - Elba – P. PuppoThese aspects have a strong impact on the choice of the cryostatdimensions(see S. Grohmannpresentation)Close integrationbetween suspensionand cryogenicsnecessarySilicon / Sapphire payload (double)Silicon SapphireMirror and Marionette Mass (kg)200 220Mirror thickness(mm) 360(diam550mm)350(diam450mm)Mirror wire• diameter (mm)  • length (m)3.0 1.22.3 1.2Marionetta wire• diameter (mm)  • length (m)8.4 1.06.4 1.0Losses 10-9 5.6 10-9Temperature (K) 20 20Wire Tension (Mpa) 77 130Breaking Strength (Mpa) 200 40013GWD Vac22  - Elba – P. PuppoSTN from analytical model14GWD Vac22  - Elba – P. PuppoFEA Models • FEA model of the mirrors payload using ANSYS;• elastic properties, losses• real shape of the payload system• Interfaces can be included• Calculation of the expected modal frequencies and quality factors;• Calculation of thermal noise using the Levin method;• Calculation of temperature distribution with a thermal load 15GWD Vac22  - Elba – P. PuppoMonolithic suspensionEars and anchors in Virgo+/AdvINTERFACES must be included in the computationthis is not possible with analytical modelsUpper clamps on Virgo+ marionetteUpper clamps on AdV marionette16GWD Vac22  - Elba – P. PuppoSilicate Bonding Layers for sapphireThickness=60 nmYoung Modulus=18.5 GPapoisson ratio=0.17density=2201 kg/m3loss angle 1.8e-3 @ 20 K; sapphireloss angle 2.25e-3 @ 20 K;  siliconfrom Phelps, Margot Hensler (2018) Hydroxide catalysis and indium bondingresearch for the design of ground-based gravitational wave detectors. PhD thesis.17GWD Vac22  - Elba – P. Puppo𝑆𝑆𝑋𝑋𝐹𝐹𝐸𝐸𝑀𝑀 𝜔𝜔=4 𝑘𝑘𝑏𝑏𝑇𝑇𝜔𝜔 𝐹𝐹𝑜𝑜22 𝜙𝜙𝑤𝑤𝑏𝑏𝑡𝑡𝑡𝑡𝑇𝑇𝐸𝐸𝑤𝑤𝑏𝑏𝑡𝑡𝑡𝑡𝑇𝑇 𝜔𝜔 + 𝜙𝜙𝑙𝑙𝑙𝑙𝑙𝑙𝑡𝑡𝑡𝑡𝑇𝑇𝐸𝐸𝑙𝑙𝑙𝑙𝑙𝑙𝑡𝑡𝑡𝑡𝑇𝑇 𝜔𝜔 + 𝜙𝜙𝑀𝑀𝑙𝑙𝑡𝑡𝑏𝑏𝑜𝑜𝐸𝐸𝑀𝑀𝑀𝑀𝑀𝑀𝑀𝑀𝐿𝐿 𝜔𝜔 + 𝜙𝜙𝑆𝑆𝑏𝑏𝑙𝑙𝑏𝑏𝑆𝑆𝑙𝑙𝑝𝑝𝑙𝑙𝑡𝑡𝑡𝑡𝑇𝑇𝐸𝐸𝑆𝑆𝑏𝑏𝑙𝑙𝑏𝑏𝑆𝑆𝑙𝑙𝑝𝑝𝑙𝑙𝑡𝑡𝑡𝑡𝑇𝑇𝜔𝜔 + 𝜙𝜙𝑀𝑀𝑙𝑙𝑡𝑡𝑏𝑏𝑜𝑜𝐶𝐶𝑙𝑙𝑏𝑏𝑙𝑙𝑡𝑡𝐸𝐸𝑀𝑀𝑙𝑙𝑡𝑡𝑏𝑏𝑜𝑜𝐶𝐶𝑙𝑙𝑏𝑏𝑙𝑙𝑡𝑡𝜔𝜔 …Suspension Thermal(Levin Formula)Strain energies 𝐸𝐸𝑏𝑏 𝜔𝜔 from the FEM applying a unitary gaussian force on the suspended mirror face.18GWD Vac22  - Elba – P. PuppoDealing with temperature gradients• Modal approach:• For branched: The Twelfth Marcel Grossmann Meeting, pp. 1732-1734 (2012) A thermal noise model for a branched system of mechanical harmonic oscillators: some issues for the test masses suspensions, P. Puppo https://doi.org/10.1142/9789814374552_0311• For double pendulum: Mechanical thermal noise in coupled oscillators, Y. Ogawa, E. Majorana, Physics Letters A, Volume 233, Issue 3, 25 August 1997, Pages 162-168, https://doi.org/10.1016/S0375-9601(97)00458-1• FDT with different temperature input noises• Direct approach for the fluctuation-dissipation theorem under nonequilibrium steady-state conditions, KentaroKomori, Yutaro Enomoto, Hiroki Takeda, Yuta Michimura, Kentaro Somiya, Masaki Ando, and Stefan W. Ballmer, Phys. Rev. D 97, 102001 – Published 3 May 2018• Levin method with different temperatures with FEM19GWD Vac22  - Elba – P. PuppoSapphire Test Mass: 222 kgSapphire wires: 2.3 mm diamLength: 0.8 m + 2* bending point (73 mm)Marionette Wire: SapphireDiam 6.4 mmUpper point: 8 KSteady State Thermal for sapphire(similar results fo silicon)Pin = 500 mW Pin = 300 mWTemperatures distributionSuspension Thermal with FEM• 𝑆𝑆𝐵𝐵𝐵𝐵𝑙𝑙𝑘𝑘𝑇𝑇𝐹𝐹𝐸𝐸𝑀𝑀 𝜔𝜔 =4 𝑘𝑘𝑏𝑏𝑇𝑇𝜔𝜔 𝐹𝐹𝑜𝑜22 ∑𝑏𝑏 𝜙𝜙𝑏𝑏𝐸𝐸𝑏𝑏𝑇𝑇𝑏𝑏 (𝑇𝑇𝑡𝑡𝑙𝑙𝑡𝑡𝑏𝑏𝑜𝑜 𝑇𝑇𝑡𝑡𝑏𝑏𝑡𝑡𝑡𝑡𝑜𝑜𝑡𝑡 …..)• 𝑆𝑆𝑊𝑊𝑏𝑏𝑡𝑡𝑡𝑡𝑇𝑇𝐹𝐹𝐸𝐸𝑀𝑀 𝜔𝜔 =4 𝑘𝑘𝑏𝑏𝑇𝑇𝜔𝜔 𝐹𝐹𝑜𝑜22 ∑𝑏𝑏 𝜙𝜙(𝑇𝑇𝑏𝑏 ,𝑦𝑦𝑏𝑏)𝐸𝐸𝑏𝑏 𝑦𝑦𝑏𝑏 𝑇𝑇𝑏𝑏𝜙𝜙(𝑇𝑇𝑏𝑏 ,𝑦𝑦𝑏𝑏)= 𝜙𝜙𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑜𝑜 (𝑇𝑇𝑏𝑏 ,𝑦𝑦𝑏𝑏)+ 𝜙𝜙𝑡𝑡𝑙𝑙𝑡𝑡𝑡𝑡𝑡𝑡𝑏𝑏𝑙𝑙𝑙𝑙+ 𝜙𝜙𝑡𝑡𝑒𝑒𝑡𝑡𝑡𝑡𝑙𝑙𝐸𝐸𝑏𝑏 𝑦𝑦𝑏𝑏 from Mechanical𝑇𝑇𝑏𝑏 𝑦𝑦𝑏𝑏 from Thermal SteadyF=1 N6.4mm2.3mm diamSapphire 220kgMarionetta220 kgSapphire suspension21GWD Vac22  - Elba – P. PuppoThe TN of the interface on the marionette is reduced.The link effect is reducedThe interface (anchors and ears are the bottleneck of the STN, the optimization isimportant )Pin=300 mW SapphireSTN (10-25/sqrt(Hz)) 5.0Ears HCB (10-25/sqrt(Hz)) 0.43Anchors HCB (10-25/sqrt(Hz)) 3Anchors on marionette HCB (10-25/sqrt(Hz)) 0.53Total STN (with/withouttemperature distributions)6.0/6.8Pendulum thermal for sapphire suspension (interfaces not optimized)22GWD Vac22  - Elba – P. Puppo• Presented the criteria designing a cryogenic payload• We use a recursive method dealing with mechanical and thermal requirements in order to obtain a thermal noise compliant with the sensitivity curve;• We have seen the cooling scheme based on the use of soft heat links cooled with PT cryocoolers  and we have shown the parameters for a suspension with cylindrical fibers made of silicon or sapphire;• With a conservative heat input on the system, the presented schemes are within the requirements for thermal noise and set an acceptable configuration for cryogenic system.•Close integration between suspension and cryogenics necessary 23GWD Vac22  - Elba – P. PuppoSecond part fromXhesika KoroveshiKIT – The Research University in the Helmholtz Association www.kit.eduImage: ESO/L. CalçadaESO/L. CalcadaPart II on Update of STN modelling for the cryogenic payload of the ET-LFX Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LF2Mechanical DesignSuspension Thermal Noise (STN)ThermalDesignConsistencyHeat extraction pathInterfaces & TemperaturesMaterialsDimensionsET Sensitivity curve30.09.2022X Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LFInconsistencies in current ET-LF Payload designCooling conceptsImpact of Test mass suspension design on STNImpact of Marionette suspenion design on STN  Summary of updated Payload design parameters3Outline30.09.2022X Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LF4Inconsistencies in Current ET-LF Payload Design30.09.2022X Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LF5ET-LF Payload𝟐 𝐊𝟏𝟎 𝐊MARTMPFSource: ET Design Report (2011)SiliconTi-Alloy2 mሶ𝑄TM,total = 0.1 Wሶ𝑄TM,total = 0.5 WConservative value due to size and complexity of ET-LF cryostatHow?2 m𝑇MAR = 10 K with heatlink connection to heatsink?No! →Heatlink on MAR not possible due toSTN, cooling interface muss be on PF [1]Heatlink on MARHeatlink on PF[1] P.Puppo (2022) - ET-D: FEA models for the ET Payload: status and preliminary results[2] L.Busch (2022) - ET-D: Payload cooldown studiesCooling interface on PF completelyineffective due to Ti-Alloy fiber [2] Consideration of ∆𝑇𝑠 in fibersInterface temperatures and ∆𝑇𝑠 not yet consistently implemented∆𝑇∆𝑇30.09.2022X Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LF6ሶ𝑄TM,total = 0.5 W as conservative value due to size and complexity of ET-LF cryostat𝑇TM defined from ሶ𝑄TM,total and 𝑇MAR𝑇MAR dependant on cooling concept, 2 K not achievable via solid conduction coolingCooling interface should be implemeted on the platform (PF) due to STNHeat extraction path for ET-LF payload to be described correctly30.09.2022Conclusions IX Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LF7ET-LF payload cooling concepts30.09.2022X Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LF8Thermal conductivityL.Busch et al. GWADW 2021Marionette(MAR)Cooling interface on platformThermal conductivity ofMarionette suspensioncrucial for cooling!Test mass(TM)30.09.2022X Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LFHe-II (no macroscopic flow)  for steady-state operationHe-I flow for cool-down9ET-LF Payload Cooling conceptsDetector cooling with superfluid He-II He-II-filled marionette suspension tubeCooling interface: He-supply capillaries𝑇MAR ≈ 2 KR&D @ Karlsruhe Instiute of Technology[1] P.Puppo (2022) - FEA models for the ET Payload: status and preliminary results[2] X. Koroveshi (2022) - Feasibility of He-II suspensions based on thermal noise modelling[2][1]Detector cooling with PT cryocoolersSapphire or silicon marionette suspension fiberCooling interface: Soft-Heatlinks𝑇MAR ≈ 14 − 20 KR&D @ INFN RomaHeat sinkSoft-Heatlinks30.09.2022X Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LF10STN modellingImpact of Test mass suspensions30.09.2022X Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LF1 10 1001E-261E-251E-241E-231E-221E-211E-201E-19 ET-D: Total noise curve ET-D STN: MAR @ 2 K - TM @ 10 K  STN Double pendulum: MAR @ 20 K - TM @ 20 K: Sapphire - Saphhire STN Double pendulum: MAR @ 20 K - TM @ 20 K: Silicon - SiliconStrain / (Hz)-1Frequency / Hz11Test mass suspensionMaterial choice: Sapphire or Silicon Possible parameters for mirror suspensions: 𝑇TM = 14 − 𝟐𝟎 𝐊 = 𝑓( ሶ𝑄TM,total, cooling concept) 𝑀TM = 211 − 220 kg 𝐿𝐓𝐌,𝐟𝐢𝐛𝐞𝐫 = 𝟏. 𝟐 𝐦 𝑑𝐓𝐌,𝐟𝐢𝐛𝐞𝐫 = 𝟐. 𝟑 𝐨𝐫 𝟑. 𝟎 𝐦𝐦𝐿𝐓𝐌,𝐟𝐢𝐛𝐞𝐫 𝑑𝐓𝐌,𝐟𝐢𝐛𝐞𝐫STN @ LF ∶ 𝐿 ↑Manifacture of fibers ∶ 𝐿 ↓∆𝑇TM,fiber ∶ 𝐿 ↓Reduced cryostat height ∶ 𝐿 ↓Mechanical structure(𝑆𝐹 = 3)  ∶ 𝑑 ↑STN @ LF ∶ 𝑑 ↓Efficient heat extraction ∶ 𝑑 ↑𝐿𝐓𝐌,𝐟𝐢𝐛𝐞𝐫∅ ∶ 𝑑𝐓𝐌,𝐟𝐢𝐛𝐞𝐫𝑇𝐓𝐌∆𝑇𝐓𝐌,𝐟𝐢𝐛𝐞𝐫1 10 1001E-261E-251E-241E-231E-221E-211E-201E-19 ET-D: Total noise curve ET-D STN: MAR @ 2 K - TM @ 10 K  STN Double pendulum: MAR @ 20 K - TM @ 20 K: Sapphire - Saphhire STN Double pendulum: MAR @ 20 K - TM @ 20 K: Silicon - SiliconStrain / (Hz)-1Frequency / Hz@ f < 10 Hz,MAR stageinfluence also visible30.09.2022X Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LF12STN modellingImpact of Marionette suspension30.09.2022X Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LF13Marionette suspensionPossible design based on cooling concept: Sapphire or silicon fiber (𝑇MAR ≈ 20 K)He-filled suspension tube (𝑇MAR ≈ 2 K)Sapphire or Silicon marionette fiber:  𝑇MAR @ 20 K (∆𝑇𝐟𝐢𝐛𝐞𝐫𝐬 𝐭𝐨 𝐛𝐞 𝐢𝐦𝐩𝐥𝐞𝐦𝐞𝐧𝐭𝐞𝐝) 𝑀MAR = 100 − 110 kg 𝐿MAR,fiber = 1.0 m 𝑑MAR,fiber = 5.6 or 7.0 mmHe-II-filled marionette suspension tube: 𝑇MAR @ 2 K 𝑀MAR = 100 − 110 kg 𝐿𝐌𝐀𝐑,𝐟𝐢𝐛𝐞𝐫 = 1.0 m 𝑑𝑜 = 8.3 mm, 𝑑i = 4.1 mm, 𝑠o = 0. 25 mm𝐿𝐌𝐀𝐑,𝐟𝐢𝐛𝐞𝐫 𝑑𝐌𝐀𝐑,𝐟𝐢𝐛𝐞𝐫STN @ LF ∶ 𝐿 ↑Manifacture of fibers ∶ 𝐿 ↓∆𝑇MAR,fiber ∶ 𝐿 ↓Reduced cryostat height ∶ 𝐿 ↓Mechanical structure(𝑆𝐹 = 3)  ∶ 𝑑 ↑STN @ LF ∶ 𝑑 ↓Efficient heat extraction ∶ 𝑑 ↑𝐿𝐌𝐀𝐑,𝐟𝐢𝐛𝐞𝐫𝑇𝐌𝐀𝐑∆𝑇𝐌𝐀𝐑,𝐟𝐢𝐛𝐞𝐫30.09.2022X Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LF14STN with updated ET-LF payload parametersMARTMMirror/Test mass suspensions: Sapphire or silicon 𝑻𝐓𝐌 = 𝟏𝟒 − 𝟐𝟎 𝐊 = 𝑓( ሶ𝑄TM,total, cooling concept) 𝑳𝐓𝐌,𝐟𝐢𝐛𝐞𝐫 = 𝟏. 𝟐 𝐦 𝒅𝐓𝐌,𝐟𝐢𝐛𝐞𝐫 = 𝟐. 𝟑 𝐨𝐫 𝟑. 𝟎 𝐦𝐦 𝑀TM = 200 − 220 kgPossible ET-LF suspension design parametersConcept: Sapphire or Silicon marionette fiber:  𝑇MAR @ 𝟐𝟎 𝐊 (∆𝑇𝐟𝐢𝐛𝐞𝐫𝐬 𝐭𝐨 𝐛𝐞 𝐢𝐦𝐩𝐥𝐞𝐦𝐞𝐧𝐭𝐞𝐝) 𝐿MAR,fiber = 𝟏. 𝟎 𝐦 𝑑MAR,fiber = 𝟓. 𝟔 𝐨𝐫 𝟕. 𝟎 𝐦𝐦 𝑀MAR = 𝟏𝟎𝟎 − 𝟏𝟏𝟎 𝐤𝐠Concept: He-II-filled marionette suspension tube: 𝑇MAR @ 𝟐 𝐊 𝐿MAR,fiber = 𝟏. 𝟎 𝐦 𝑑o = 𝟖. 𝟑 𝐦𝐦, 𝑑i = 4.1 mm, 𝑠o = 0. 25 mm 𝑀MAR = 𝟏𝟎𝟎 − 𝟏𝟏𝟎 𝐤𝐠1 10 1001E-261E-251E-241E-231E-221E-211E-201E-19 ET-D: Total noise curve ET-D STN: MAR @ 2 K - TM @ 10 K  STN Double pendulum: MAR @ 20 K - TM @ 20 K: Sapphire - Saphhire STN Double pendulum: MAR @ 20 K - TM @ 20 K: Silicon - Silicon STN Double pendulum: MAR @   2 K - TM @ 14 K: He-II ST - SiliconStrain / (Hz)-1Frequency / Hz30.09.2022X Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LFTwo concepts for marionette suspension based on cooling conceptOne concept for mirror suspensionImplementation of heat extraction path with corresponding temperatures in STN modelessential: Heat sink∆𝑇thermal linksPlatform∆𝑇MAR suspensionMarionette ∆𝑇TM suspensionMirrorImplementation of conservative loss angles15Conclusions & Outlook∆𝑇To be updated in each design iteration30.09.2022X Koroveshi, P Puppo, S Grohmann - Update of the STN modelling for the cryogenic payload of the ET-LF30.09.202216Thank you for your attentionxhesika.koroveshi@kit.edupaola.puppo@roma1.infn.it

Update on the suspension thermal noise modelling of the ET-LF cryogenic payload

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Update on the suspension thermal noise modelling of the ET-LF cryogenic payload

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