1. 1/12 Sylvain GRIFFET, 17/10/2011 BE/ABP-SU/ Simulations of laser tracker AT401 measurements on TM0 CLIC girders EDMS Document No 1157095

2. Simulations of laser tracker AT401 measurements on TM0 CLIC girders 2/12 Sylvain GRIFFET, 17/10/2011 BE/ABP-SU/ Introduction Simulation on Main Beam Girder Supporting system Accelerating structures AT401 stations Results Simulation on Drive Beam Girder Supporting system Components AT401 stations Results Conclusions Contents

3. Simulations of laser tracker AT401 measurements on TM0 CLIC girders 3/12 Sylvain GRIFFET, 17/10/2011 BE/ABP-SU/ Subject of the presentation  To present the simulation calculations of measurements which will be performed by laser tracker AT401 for Type 0 module. Principle of simulations  Input: realistic approximate coordinates of points and a priori accuracies of the laser tracker Leica AT401.  Calculations: simulations based on the Monte-Carlo method.  Output: rms accuracies for each point along the X, Y and Z axes. Objectives  To estimate the accuracies that will be obtained during real measurements on the CLIC mock-up.  To determine the number of stations to implement and their locations. Introduction

4. Simulations of laser tracker AT401 measurements on TM0 CLIC girders 4/12 Sylvain GRIFFET, 17/10/2011 BE/ABP-SU/ Simulation on Main Beam Girder Supporting system Supporting system = 1 girder + 2 stations. 7 fiducials on girders and 4 on sensor plates. Coordinate system: Z = vertical, Y = theoretical beam axis. Study of the girder Micro- Contrôle 1  available for the girder 2. Beam

5. Simulations of laser tracker AT401 measurements on TM0 CLIC girders 5/12 Sylvain GRIFFET, 17/10/2011 BE/ABP-SU/ Simulation on Main Beam Girder Accelerating structures 2 alignment disks for each of the 8 accelerating structures. 4 fiducials per alignment disk (only 2 visible from outside). Fiducial = conical bore to receive 0.5’’ probe (CMM or measuring arm) or reflector CCR 0.5’’ (Corner Cube Reflector).

6. Simulations of laser tracker AT401 measurements on TM0 CLIC girders 6/12 Sylvain GRIFFET, 17/10/2011 BE/ABP-SU/ Simulation on Main Beam Girder AT401 stations Graphical determination of the number of stations and their locations (Autocad 2010). Distance station/AS fiducial > 1.5 m 5 stations are required to measure all the AS fiducials at least 2 times. Height of the station was set to Z = 0 to allow the targeting of points below and above the waveguides

7. Simulations of laser tracker AT401 measurements on TM0 CLIC girders 7/12 Sylvain GRIFFET, 17/10/2011 BE/ABP-SU/ Simulation on Main Beam Girder Results Simulation calculations using LGC++ v1.09.03 (SU software). A priori data comes from the measurements of a test bench performed before the laser tracker AT401 was ordered and after its reception :  A priori accuracy of the horizontal and vertical angles is 1.3 cc,  A priori accuracy of the distances is 5 µm. The girder point MC1-2 is declared as fixed, the point MC1-11 is used for the orientation and all other points are free. Sx (µm)Sy (µm)Sz (µm)3D (µm) Maximum value4.63.53.36.5 Average3.93.13.05.9 “3D” = quadratic sum of the 3 accuracies  this sum is pessimistically considered as the 3D rms accuracy. The worst 3D accuracy (only on the AS fiducials) = 6.5 µm. If we consider that the longitudinal axis is not critical, worst accuracy < 6 µm.

8. Supporting system = 1 girder + 2 cradles. 10 fiducials on girders and 8 on cradles. Coordinate system: Z = vertical, Y = theoretical beam axis. Simulations of laser tracker AT401 measurements on TM0 CLIC girders 8/12 Sylvain GRIFFET, 17/10/2011 BE/ABP-SU/ Simulation on Drive Beam Girder Supporting system Study of the girder Boostec 3069  available for the girder 3079. Beam

9. Simulations of laser tracker AT401 measurements on TM0 CLIC girders 9/12 Sylvain GRIFFET, 17/10/2011 BE/ABP-SU/ Simulation on Drive Beam Girder Components 2 PETS subassemblies: 1PETS and 2PETS. Each of them equipped with 12 CCR 0.5’’ holders (only 6 visible from outside). 6 CCR 1.5’’ holders for each of the 2 DBQ (4 visible from each side). Beam Each of the 2 BPM equipped with 3 CCR 0.5’’ holders.

10. Simulations of laser tracker AT401 measurements on TM0 CLIC girders 10/12 Sylvain GRIFFET, 17/10/2011 BE/ABP-SU/ Simulation on Drive Beam Girder AT401 stations Graphical determination of the number of stations and their locations. Distance station/fiducial > 1.5 m 4 stations are required to measure all the fiducials at least 2 times.

11. Simulations of laser tracker AT401 measurements on TM0 CLIC girders 11/12 Sylvain GRIFFET, 17/10/2011 BE/ABP-SU/ Simulation on Drive Beam Girder Results Same software and same a priori data as seen for Main Beam. The girder point B3069-1 declared as fixed, the point B3069-10 is used for the orientation and all other points are free. The worst 3D accuracy (only on the components fiducials) < 7.5 µm. If we consider that the longitudinal axis is not critical, worst accuracy < 6.5 µm. Sx (µm)Sy (µm)Sz (µm)3D (µm) Maximum value5.03.74.17.4 Average4.23.64.06.8

12. Simulations of laser tracker AT401 measurements on TM0 CLIC girders 12/12 Sylvain GRIFFET, 17/10/2011 BE/ABP-SU/ Conclusions The AT401 measurements will be performed, among others, during the following steps:  Validation of a pre-alignment obtained using sensors,  Determination of the components’ locations before and after transport test,  Monitoring of the components and the girders during the thermal tests. The results obtained by the two simulations presented here are promising :  For both kinds of girder, we can expect rms accuracies on the components less than 6.5 µm. The work done before calculating allowed us to determine the configuration of the networks and the number of necessary stations. Finally it is necessary to remember that these accuracies are achievable only if the measurement conditions are extremely good: no vibration, no air flow, stable temperature, etc.