Shuichi Noguch, KEK6-th ILC School, November, 20111 RF Basics; Contents  Maxwell’s Equation  Plane Wave  Boundary Condition  Cavity & RF Parameters.

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Presentation transcript:

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

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

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

Shuichi Noguch, KEK6-th ILC School, November, 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

Shuichi Noguch, KEK6-th ILC School, November, 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

Shuichi Noguch, KEK6-th ILC School, November, Circuit Equation

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

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

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

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

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

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

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

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

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

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

Shuichi Noguch, KEK6-th ILC School, November, 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

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

Shuichi Noguch, KEK6-th ILC School, November, 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

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

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

Shuichi Noguch, KEK6-th ILC School, November,

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

Shuichi Noguch, KEK6-th ILC School, November,

Shuichi Noguch, KEK6-th ILC School, November,

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

Shuichi Noguch, KEK6-th ILC School, November,

Shuichi Noguch, KEK6-th ILC School, November, Cavity Voltage

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

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

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

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

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

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

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

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

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

Shuichi Noguch, KEK6-th ILC School, November, Cavity Measurement

Shuichi Noguch, KEK6-th ILC School, November,