1. Shuichi Noguch, KEK6-th ILC School, November, 20111 RF Basics; Contents  Maxwell’s Equation  Plane Wave  Boundary Condition  Cavity & RF Parameters  Normal Mode Analysis  Perturbation Theory  Equivalent Circuit  Coupled Cavity Part-3

2. Shuichi Noguch, KEK6-th ILC School, November, 20112 Contents of RF-3  Equivalent Circuit  Coupled Cavity  Excitation  Cavity Measurements

3. Shuichi Noguch, KEK6-th ILC School, November, 20113 Equivalent Circuit for Cavity L C R LC R Series Circuit Parallel Circuit

4. Shuichi Noguch, KEK6-th ILC School, November, 20114 Multi-cell Cavity / Coupled Resonator R n-1 RnRn R n+1 L n-1 LnLn LnLn L n+1 C n+1 CnCn C n-1 I n-1 InIn I n ＋１ kkkk Magnetic Coupling through Slot Cell #n Coupling Hole

5. Shuichi Noguch, KEK6-th ILC School, November, 20115 Coupled Resonator L1L1 R2R2 LnLn RnRn LNLN RNRN CbCb CkCk CkCk C1C1 CbCb CkCk L2L2 C2C2 CNCN CnCn R1R1 I1I1 I2I2 ININ InIn Electric Coupling through Iris

6. Shuichi Noguch, KEK6-th ILC School, November, 20116 Circuit Equation

7. Shuichi Noguch, KEK6-th ILC School, November, 20117

8. Shuichi Noguch, KEK6-th ILC School, November, 20118

9. Shuichi Noguch, KEK6-th ILC School, November, 20119 Introduce Coupling Constant

10. Shuichi Noguch, KEK6-th ILC School, November, 201110 Field & Cell Frequency Relation

11. Shuichi Noguch, KEK6-th ILC School, November, 201111 Flat  -Mode 0-Mode

12. Shuichi Noguch, KEK6-th ILC School, November, 201112 Dispersion Relation n ; cell # m ; mode # m=N ;  Mode

13. Shuichi Noguch, KEK6-th ILC School, November, 201113 Perturbation / Tuning

14. Shuichi Noguch, KEK6-th ILC School, November, 201114 Beads pull Method

15. Shuichi Noguch, KEK6-th ILC School, November, 201115 Powering the Cavity

16. Shuichi Noguch, KEK6-th ILC School, November, 201116 Cavity ; Parallel L,C,R Circuit

17. Shuichi Noguch, KEK6-th ILC School, November, 201117 RF System Power Sauce Circulator Input Coupler Cavity Dummy Load Can been seen only from Cavity Side & Cavity dose not see Power Sauce P in P out P0P0 PgPg PrPr

18. Shuichi Noguch, KEK6-th ILC School, November, 201118 Coupler / Transformer G1G1 I1I1 V1V1 G2G2 I2I2 V2V2 1 : n

19. Shuichi Noguch, KEK6-th ILC School, November, 201119 External Q Values ; Definition G 1,P 1 Q ext1 G C,P C Q 0 G 2,P 2 Q ext2 1:n 1 n 2 :1

20. Shuichi Noguch, KEK6-th ILC School, November, 201120 Equivalent Circuit ～ CLGCGC ～ i g0 ibib VgVg G1G1 Y in GnGn Cavity; Y c Output Line I g = i go / n 1

21. Shuichi Noguch, KEK6-th ILC School, November, 201121 Cavity Equivalent Circuit  in G C GCGC CL nGCnGC ～ igig YCYC

22. Shuichi Noguch, KEK6-th ILC School, November, 201122

23. Shuichi Noguch, KEK6-th ILC School, November, 201123 Reflection Seen from Generator

24. Shuichi Noguch, KEK6-th ILC School, November, 201124

25. Shuichi Noguch, KEK6-th ILC School, November, 201125

26. Shuichi Noguch, KEK6-th ILC School, November, 201126 Available Power Cavity Voltage

27. Shuichi Noguch, KEK6-th ILC School, November, 201127

28. Shuichi Noguch, KEK6-th ILC School, November, 201128 Cavity Voltage

29. Shuichi Noguch, KEK6-th ILC School, November, 201129 Phaser Diagram exp(j  t) 

30. Shuichi Noguch, KEK6-th ILC School, November, 201130 Transmission (T n ) / Output

31. Shuichi Noguch, KEK6-th ILC School, November, 201131 Band Width ; T n = 0.5

32. Shuichi Noguch, KEK6-th ILC School, November, 201132 Cavity Voltage Equation E H No Skin Depth Effect

33. Shuichi Noguch, KEK6-th ILC School, November, 201133 Cavity Voltage Equation Loss Skin Depth Drive Force

34. Shuichi Noguch, KEK6-th ILC School, November, 201134 Cavity Voltage at the CW Limit with Beam Feedback works fine. Beam Voltage

35. Shuichi Noguch, KEK6-th ILC School, November, 201135 Step Pulse Response

36. Shuichi Noguch, KEK6-th ILC School, November, 201136 Cavity Voltage During Build-up, Step Pulse Response

37. Shuichi Noguch, KEK6-th ILC School, November, 201137 Equi-angular Spiral  t

38. Shuichi Noguch, KEK6-th ILC School, November, 201138 Cavity Measurement

39. Shuichi Noguch, KEK6-th ILC School, November, 201139