1. L. Xiao, LHC-CC alternative design results, Feb.28, 2009 1 Alternative Design: Coax TM110-pi coupler rejects operating mode using field symmetry. LOM/SOM coupler rejects operating mode using electric field node. HOM coupler rejects operating mode using filter. LOM/SOM WG: TM110-0 Coax: TM110-pi LOM/SOM HOM 800MHz LHC Crab Cavity Alternative Design The center conductor will be slightly bent so that the rotating flange can adjust the tip of the center conductor to lie exactly along the E-field node of the operating mode field.

2. L. Xiao, LHC-CC alternative design results, Feb.28, 2009 2 Operating Mode E-field B-field E-BC Frequency800MHz (R/Q)99ohm/cavity Deflecting Voltage V T for two-cell cavity2.5MV Epeak29MV/m Bpeak69mT Mode separation (Opt.-SOM)89MHz

3. L. Xiao, LHC-CC alternative design results, Feb.28, 2009 3 Monopole and Vertical Dipole Modes Vertical Dipole modes F (MHz)888.130889.123899.865906.237985.622996.683 R/Q(Ώ/cavity)35.31.20.930.916.42.3 Qext414644 5967 LOM modes F (MHz)587.056587.218608.210608.288 R/Q(Ώ/cavity)54.141.864.571.4 Qext4950129

4. L. Xiao, LHC-CC alternative design results, Feb.28, 2009 4 Horizontal Dipole Mode Horizontal Dipole modes: TM110-o mode is the operating mode F (MHz)799.682 (pi mode) 799.985 (0-mode) 897.095898.974982.510996.130 R/Q(Ώ/cavity)1.199.50.081.011.24.1 Qext3.6e4>e9143013959321359

5. L. Xiao, LHC-CC alternative design results, Feb.28, 2009 5 TM110-zero mode at horizontal plane: F=800.18MHz, Multipacting in the Cell E-field B-field E-BC Assuming two-cell crab cavity provides V T =2.5MV, L=0.5m

6. L. Xiao, LHC-CC alternative design results, Feb.28, 2009 6 Ez=0~5.6MV, MP happened on disk areas Resonant Electrons in 800 MHz Cell 2-points MP, 0.5,1, 1.5 order

7. L. Xiao, LHC-CC alternative design results, Feb.28, 2009 7 dEz=0.1MV/m Resonant Trajectories in 800 MHz Cell Different Ez range