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Sextupolar Magnets in CLIC. Rebecca Glaudell CERN REU 2013 BE-ABP-CC3 with thanks to: Rogelio Tomas Garcia Javier Barranco Garcia. rebecca@glaudell.com. CLIC is a 3 TeV e + e - compact linear collider. Lepton colliders allow for more precision in analyzation than hadron colliers.
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Sextupolar Magnets in CLIC Rebecca Glaudell CERN REU 2013 BE-ABP-CC3 with thanks to: Rogelio Tomas Garcia Javier Barranco Garcia rebecca@glaudell.com August 8, 2013
CLIC is a 3 TeVe+e- compact linear collider. Lepton colliders allow for more precision in analyzation than hadron colliers. This will be the highest energy scale reached by a lepton collider. This can produce higher center of mass energy collisions for elementary particles than the LHC. http://clic-study.web.cern.ch/CLIC-Study/Layout/OverallCLIC3.html August 8, 2013
The Final Focus System is part of the Beam Delivery System. The Final Focus System (FFS) consists of ~90 elements that focus the beam near the interaction point (IP). Within the FFS, there are nine sextupolar magnets that can focus a beam with energy spread. http://clic-study.web.cern.ch/CLIC-Study/Layout/OverallCLIC3.html August 8, 2013
Sextupoles in the FFS can be adjusted to minimize . Sextupoles have: 9 adjustable strengths 5 adjustable positions Measure minimization of beam spread with weighted : August 8, 2013
CLIC uses a rectangular beam. The ideal beam is 40 times wider than tall. Image obviously not to scale. August 8, 2013
MAPCLASS2 code aides in the optimization of the CLIC lattice. Allows the user to manipulate the beamline or its transfer map. MAPCLASS2 can use a beamline generated by MAD-X PTC or generate the map directly. Runs in Python 2.6, but uses some C++ for speed. Methodical Accelerator Design-XPolymorphic Tracking Code https://cds.cern.ch/record/1491228/files/CERN-ATS-Note-2012-087-TECH.pdf? August 8, 2013
Nelder-Mead Simplex Method can be used to optimize the beamline. • Choose independent variables: • Write MAPCLASS2 function for dependent variable: • Choose a starting simplex: • Calculate , , or for other orders. strength position sextupoles “Improved” Nelder-Mead Simplex Method gets stuck too easily. August 8, 2013
Optimization depends on order of calculation. August 8, 2013
Optimization depends on order of calculation. August 8, 2013
Results August 8, 2013
Results in in Comparable to the difference between fettuccine and linguine August 8, 2013
Future work • Confirm improvements for higher orders • Investigate further improvements to the simplex method • Apply this method to other accelerators • Append to official set of MAPCLASS2 codes August 8, 2013
Favoritepart? August 8, 2013
and for optimized August 8, 2013
minimized for optimized strengths August 8, 2013
minimized for optimized strengths August 8, 2013