S. M. Gibson, IWAA7 November ATLAS Group, University of Oxford, UK S. M. Gibson, P. A. Coe, A. Mitra, D. F. Howell, R. B. Nickerson Geodetic Grids for the continuous, quasi real time alignment of the ATLAS Semiconductor Tracker
S. M. Gibson, IWAA7 November Overview Motivation – the alignment of ATLAS The ATLAS SCT alignment system Demonstration system Square Grid Tetrahedral Grid Large grids for ATLAS Grid simulations Check with FEA
S. M. Gibson, IWAA7 November Motivation – the alignment of ATLAS Inner detector: Physics requires shape variations to be measured to <10 m 7m
S. M. Gibson, IWAA7 November Solution – FSI geodetic grids Barrel SCT grid Forward SCT grid SemiConductor Tracker monitored using a geodetic grid of 800 length measurements.
S. M. Gibson, IWAA7 November The ATLAS SCT alignment system Frequency Scanning Interferometry (as shown earlier) will be used to simultaneously measure all lines of sight in the geodetic grids. Benefits: Continuous alignment during ATLAS operation. An understanding of the detector shape on day one of physics. Corrections of short time scale motions that degrade track-based alignment. Corrections of complex distortions, that cannot be corrected with tracks alone.
S. M. Gibson, IWAA7 November Alignment system layout Surface building ground level ATLAS cavern Fibre Splitter Tree Crate APD read out crate Detector Cavern ATLAS SCT grid of 800 grid-line- interferometers Equipment Cavern Lasers Reference Interferometer System Surface building fibre coupling optics
S. M. Gibson, IWAA7 November Demonstration System ‘equipment cavern’ ‘detector cavern’ Splitter Tree and APD readout box 250mm Fibres Power Square Grid
S. M. Gibson, IWAA7 November Demonstration system: Square Grid 6 simultaneous length measurements made between four corners of the square. +7th interferometer to measure stage position. Displacements of one corner of the square can then be reconstructed.
S. M. Gibson, IWAA7 November Square Grid
S. M. Gibson, IWAA7 November Model Degrees of Freedom Node A defines the origin Node B defines the X axis Node C is free in X and Y Node D is free in X and Y
S. M. Gibson, IWAA7 November Node Reconstruction A B C D 1m1m 1m1m 50 m 1m1m Node A Node B Node D Node C
S. M. Gibson, IWAA7 November Reconstruction of Jewel C Translation (Square Grid) Std Dev = 400 nm
S. M. Gibson, IWAA7 November Square Grid Tetrahedral Grid Jewel C raised up by 100mm Now sensitive to Z coordinate, allowing three dimensional coordinate reconstruction
S. M. Gibson, IWAA7 November Node C Three Dimensional Coordinate Reconstruction (Stationary Stage) RMS scatter = 640nm
S. M. Gibson, IWAA7 November Node C Three Dimensional Coordinate Reconstruction (Stage translated in X)
S. M. Gibson, IWAA7 November Reconstruction of Jewel C Translation (Tetra Grid)
S. M. Gibson, IWAA7 November Grids for ATLAS The grid for ATLAS will contain eight hundred lines of sight in a complex geometry. A quarter of the Barrel grid: One of the two Endcap grids: The error propagation through these grids has been simulated.
S. M. Gibson, IWAA7 November Barrel Grid Simulations Lines of sight for one quadrant of Alignment Grid FEA model of carbon fibre support structure m0m0m Simulgeo ref1 model of Alignment Grid nodes (jewels) ASSUME: end flanges are rigid rings & central jewels constrained in rotation Z X Y
S. M. Gibson, IWAA7 November Single Barrel Grid Simulation Results NB: rigid end flanges assumed – currently repeating with increased number of degrees of freedom. 1 micron precision assumed throughout. Fixed inner barrel. Central jewels constrained in rotation Result without radial lines
S. M. Gibson, IWAA7 November FEA model of SCT structure Barrel SCT is normally supported at four points
S. M. Gibson, IWAA7 November Torsional behaviour: 4 point to 3 point support Loss of contact with this point
S. M. Gibson, IWAA7 November Future work: Cross-check of Grid Simulations Take FEA model of perfect barrel Extract lengths from geodetic grid (add random errors to lengths) Pass to reconstruction software for calibration of model Distort FEA model eg, twist and/or multipole distortions Extract new lengths (add random errors to lengths) Pass to reconstruction software Reconstruct nodes co-ordinates and compare with those in FEA model Compare with predicted errors
S. M. Gibson, IWAA7 November Conclusions A novel alignment system, based on FSI, is under construction for the ATLAS SCT. Prototype geodetic grid nodes can be reconstructed to well within the ATLAS requirements (<1ppm). Error propagation through the final SCT grid has been simulated. Future work: cross-check simulations using distorted FEA models. References ref1 used with kind permission of the author: L. Brunel, ‘SIMULGEO: Simulation and reconstruction software for opto- geometrical systems’, CERN CMS Note 1998/079.