1. Design of Transfer Line-2 (TL-2) for CLIC Test Facility – 3 (CTF-3) Amalendu Sharma, A.Rahim, A.D.Ghodke and Gurnam Singh IOAPDD Raja Ramanna Centre for Advanced Technology Indore – 452 013 India CTF-3 collaboration meeting, January 2007, CERN.

2. Design of TL-2 for CTF-3, RRCAT, India. Indian participation CTF-3 and Indian participation

3. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. Progress so far First communication for design requirementJuly 15, 2005 Design information received from CERNJuly 22, 2005 Clarification of building geometry and parametersSeptember 22, 2005 First design draft (version-1) communicatedOctober 07, 2005 Comments on first design receivedNovember 10, 2005 Revised design (version-2) communicatedMarch 17, 2006 Comments on revised design receivedApril 17, 2006 Meeting with CERN team in RRCATJune 13-14, 2006 Final specifications receivedJuly 14, 2006 Design draft (version-3) communicatedSeptember 21, 2006 Feedback on implementation of line in buildingNovember 28, 2006 Revised design (version-4) communicatedDecember 20, 2006

4. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. Main requirements of design R 56 from -0.35m to +0.35m. T 566 = 0 in entire range of tuning.  = 4-5m and  = 0 at exit in both planes. Emittance dilution < 10%. 4m dispersion free region for the tail clippers (collimators). Available magnets to be used. Line implementation in the existing building.

5. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. Parameters@ InputRequirement @ Output Nominal energy150 MeV Maximum energy300 MeV  x,  y (m) 8.1, 3.54 - 5  x,  y 0.12, 0.310.0, 0.0  0.0 ’’ dp/p (%)1%  z (rms) 8.3 ps1.3 ps Height above ground1.35 m0.85 m Beam parameters

6. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. Magnets available Dipole – Type-1 Dipole – Type-2 Stnd. Quadrup ole Slim Quadrup ole TSL Quadrup ole Sextupole Mech. length (m) 0.7700.5200.5920.3840.4300.350 Mech. width (m) 0.794 0.8190.3400.6500.420 Effective length (m) 0.5180.2680.3800.3000.2950.246 Aperture (mm) 100  45 184100101167 Strength1.3 T 5.4 T/m8 T/m10.6 T/m44 T/m 2 Number020326021612

7. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. Geometrical constraints Length of final matching doublet 6.37m 20.75  17  4m M 1.21m 3.2m Minimum distance from the edge of element to wall > 50mm

8. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. Design approach Module-1 From extraction point of CR to first bend magnet. An achromat Module-2 Straight section for collimator. vertical achromat, matching section for Module-3 Module-3 Tunable R 56 achromatic arc, Final matching doublet Beam direction. The design studies are carried out using MAD-8 program.

9. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. Design details: Module-1 Module-1 is an achromat with opposite bends from extraction septa of CR to first bend.  Very low flexibility in achromat. Quadrupoles close to its highest strength. High  at exit of module-1 => Rapid rise in . A Beam direction

10. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. Design details: Module-2 Beam direction Vertical Achromat Space for tail clipper

11. Design details: Module-3 Design of TL-2 for CTF-3, RRCAT, India. CTF-3 collaboration meeting, January 2007, CERN. The linear matrix element for controlling the bunch length Change in Path Length Momentum deviation =  p/p Second order relation between path length and momentum deviation

12. Design details: Module-3 Design of TL-2 for CTF-3, RRCAT, India. CTF-3 collaboration meeting, January 2007, CERN. Bunch length manipulation (linear) Where chirp Energy-time correlation with RF-field

13. Design details: Module-3 Design of TL-2 for CTF-3, RRCAT, India. CTF-3 collaboration meeting, January 2007, CERN. Bunch length manipulation (including second order terms)

14. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. Layout of Module-3 Mirror plane of R 56 arc Beam Direction

15. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. Approach Find out dispersion and its derivative for required R 56 and to form an achromat. Find a solution, such that 1. High  @ sextupoles to control T 566. 2. Decoupled  s @ sextupole locations. 3. I – transformer between sextupoles. Required Twiss parameters at Matching point

16. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. Twiss parameters and Dispersion R 56 = -0.35 (MAD sign convention)

17. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. Twiss parameters and Dispersion Continued… R 56 = 0.00

18. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. Twiss parameters and Dispersion Continued… R 56 = +0.35

19. Design of TL-2 for CTF-3, RRCAT, India. CTF-3 collaboration meeting, January 2007, CERN. Vertical dispersion

20. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. T 566 correction and phase space distortion T 566 Correction with sextupolesPhase space distortion X-PlaneY-Plane R 56 = -0.35m R 56 = 0.00

21. Design of TL-2 for CTF-3, RRCAT, India. CTF-3 collaboration meeting, January 2007, CERN. Available Magnets and Power Supplies Needed Dipole magnets Module-1Module-2Module-3 Magnets1 [type-2] 2 [sector type for vertical bend] 4 [2 of type-1 and 2 of type-2] Power supplies112 Quadrupole magnets Module-1Module-2Module-3 Magnets3 [2 slim and 1 TSL] 11 [8 standard and 3 TSL] 12 [TSL-type] Power supplies3107

22. Design of TL-2 for CTF-3, RRCAT, India. CTF-3 collaboration meeting, January 2007, CERN. Sextupole magnets Module-1Module-2Module-3 Magnets---- 6 Power supplies---- 3 Available Magnets and Power Supplies Needed…

23. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. A Better Alternative R 56 = +0.35 For lowering  -functions in module-2, one more quadrupole is added in the module-1. Preliminary results are… R 56 = 0.00

24. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. R 56 = -0.35

25. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India. Complete layout of line with building

26. Summary Design of TL-2 for CTF-3, RRCAT, India. CTF-3 collaboration meeting, January 2007, CERN. Optics design in linear zone done for the R 56 from - 0.35m to +0.35m. T 566 correction studies in progress and preliminary results of R 56 = 0.00 and -0.35 obtained.  -functions higher in module-2 beginning and can be lowered with one more quadrupole in Module-1. Acknowledgements We are thankful to Dr. Hans Braun, Dr. Frank Tecker for the valuable review and feedback during this work.

27. CTF-3 collaboration meeting, January 2007, CERN. Design of TL-2 for CTF-3, RRCAT, India.