1. C3 CLIC Crab Cavity Vasim Khan 20.08.09

2. WG damping Mode # Fsyn (GHz) Fsyn (GHz) 18.1110.92 213.7612.49 314.1213.8217 414.3013.8266 514.8414.25 H-H B.C.E-H B.C. Φ = 120 deg. From : Pravin

3. Φ = 120 deg. 8.11 GHz 13.76 GHz 14.12 GHz 14.30 GHz 14.84 GHz H-H Boundary conditions

4. Φ = 120 deg. 10.92 GHz 12.49 GHz13.8217 GHz 13.8266 GHz 14.25 GHz E-H Boundary conditions

5. 8.13 GHz 11.21 GHz11.88 GHz 12.4916 GHz12.5003 GHz 12.5007 GHz 13.76 GHz 12.4913 GHz First 8 modes in a full cell Φ = 120 deg.

6. 5.0 11.0 6.75 2.0 5.25 11.0 13.95 5.5 1.2 2.0 CLIC CRAB CAVITY SINGLE CELL WITH MANIFOLD DAMPING All dimensions are in millimetre

7. Blue : H-H boundary condition Red : E-H boundary condition {8.49913,8.5285,8.61154,8.71654,8.81704,8.8833,8.90759} {16.9038,17.1412,17.0696,16.9791,16.8923,16.8373,16.8189} {17.1701,17.1676,17.9376,19.1469,20.4907,20.9282,21.1052} {19.0842,19.1901,19.5028,19.9622,20.7146,22.5842,24.6713} {21.5136,21.7202,22.3295,23.3131,24.4884,24.8661,24.6752} {12.7664,12.5843,12.3093,12.1112,11.9891,11.9267,11.9051} {13.369,13.6967,14.587,15.9864,17.7285,19.6465,20.9925} {14.255,14.6922,15.7054,17.0497,18.6159,20.2913,21.3548} {16.9027,17.1553,17.9208,19.1347,20.7167,21.4186,21.9121} {21.4978,21.5055,21.4857,21.4619,21.4322,22.5839,21.9455 } Blue : H-H boundary condition Red : E-H boundary condition Mode # Φsyn (deg.) Fsyn (GHz) Φsyn (deg.) Fsyn (GHz) 187.18.7112011.99 2168.316.82158.620.17 3150.620.93154.720.55 4140.721.97146.221.42 5116.124.41138.621.85 H-H B.C.E-H B.C. Spline fits

8. H-H Boundary conditions synchronous modes 1st 8.71 GHz 2nd 16.82GHz 3rd 20.93 GHz 4th 21.97 GHz 5th 24.41 GHz Quadrupole Manifold mode

9. E-H Boundary conditions synchronous modes 1st 11.99 GHz 2nd 20.17 GHz 3rd 20.55 GHz 4th 21.42 GHz 5th 21.85 GHz Sextupole Manifold mode

10. 8.81 GHz 10.1376 GHz10.1383 GHz 12.39 GHz14.5 GHz 14.59 GHz 15.72 GHz 11.99 GHz First 8 modes in a full cell Φ = 120 deg.

11. Cut-off frequency TM mn TE mn Circular waveguide Rectangular waveguide

12. Next ? Need to understand more about TE & TM coupling in a circular waveguide and cavity Investigate the possibility of manifold damping in a CLCI cab cavity CLIC_DDS1 on the list for more simulations Corrections and more reading for thesis chapters