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Shuichi Noguchi, KEK6-th ILC School, November 20111 Beam-Operation Cavity Voltage Control by Feedback & Tuner Dumping of HOM’ s by HOM Dumper  Bunch Induced.

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Presentation on theme: "Shuichi Noguchi, KEK6-th ILC School, November 20111 Beam-Operation Cavity Voltage Control by Feedback & Tuner Dumping of HOM’ s by HOM Dumper  Bunch Induced."— Presentation transcript:

1 Shuichi Noguchi, KEK6-th ILC School, November Beam-Operation Cavity Voltage Control by Feedback & Tuner Dumping of HOM’ s by HOM Dumper  Bunch Induced Voltage  Beam Loading  Higher Order Mode Excitation

2 Shuichi Noguchi, KEK6-th ILC School, November RF Acceleration System P0P0 RF Signal Generator Frequency Fixed RF Amplifier Directional Coupler Circulator Cavity Phase Detector Pr P t ( V C ) Pg Pre-Amp. Phase Shifter Reference Phase Frequency Tuner Pre-Amp Reference Voltage

3 Shuichi Noguchi, KEK6-th ILC School, November Cavity Field Equation Drive Force ; RF Power Source & Beam Cavity Field is given by Superposition of RF Driven Field & Beam Induced Field

4 Shuichi Noguchi, KEK6-th ILC School, November Beam ( Bunch ) Induced Field V b,  U b Charge q L Cavity

5 Shuichi Noguchi, KEK6-th ILC School, November Energy Loss Mode Excitation

6 Shuichi Noguchi, KEK6-th ILC School, November How much Field is Induced ? Let’s Assume  Energy Loss to each mode is due to Deceleration by Self Induced Field.  Excitation of the Mode is Zero, If Two Bunches of Equal Charge apart by  Passed through the Cavity.

7 Shuichi Noguchi, KEK6-th ILC School, November Beam ( Bunch ) Induced Field  V b,  U b q

8 Shuichi Noguchi, KEK6-th ILC School, November V b1 f V b1  U 1 = q f V b1 Reference Phase Energy Loss by Self Induced Field Bunch feels Fraction ( f ) of Self Induced Voltage exp ( j  beam t )

9 Shuichi Noguchi, KEK6-th ILC School, November Beam ( Bunch ) Induced Field  V b1,  U b1 Bunch 1 Bunch 2

10 Shuichi Noguchi, KEK6-th ILC School, November Beam ( Bunch ) Induced Field   U = 0 V b = 0

11 Shuichi Noguchi, KEK6-th ILC School, November V b2 f V b2  U 2 = q ( f V b2 – V b1 ) Reference Phase V b1 exp ( j  beam t )

12 Shuichi Noguchi, KEK6-th ILC School, November  U 1 +  U 2 = 0 qfV b1 + qfV b2 – qV b1 = 0 f = 1/2 ( or V b = 0 ) V b1 = V b2

13 Shuichi Noguchi, KEK6-th ILC School, November Multi-Bunch Induced Field VbVb exp ( j  beam t ) Phase Advance 

14 Shuichi Noguchi, KEK6-th ILC School, November CW Limit

15 Shuichi Noguchi, KEK6-th ILC School, November CW Limit

16 Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEKSokendai Lecture, 2011,216Shuichi Noguchi, KEKSokendai Lecture, 2011,216 exp ( j  RF t ) Phaser Diagram Beam Phase  O 

17 Shuichi Noguchi, KEK6-th ILC School, November

18 Shuichi Noguchi, KEK6-th ILC School, November

19 Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEKSokendai Lecture, 2011,219 exp ( j  RF t ) Another way to find Tuning Condition Beam Phase  O 

20 Shuichi Noguchi, KEK6-th ILC School, November ByTuner

21 Shuichi Noguchi, KEK6-th ILC School, November exp ( j  RF t ) Phaser Diagram at Tuning Beam Phase O

22 Shuichi Noguchi, KEK6-th ILC School, November

23 Shuichi Noguchi, KEK6-th ILC School, November Pulse Operation Drive a tuned cavity with a power

24 Shuichi Noguchi, KEK6-th ILC School, November t V CW VgVg VbVb PgPg TeTe VCVC 0 TbTb Cancel

25 Shuichi Noguchi, KEK6-th ILC School, November


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