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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 Voltage Beam Loading Higher Order Mode Excitation

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Shuichi Noguchi, KEK6-th ILC School, November 20112 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

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Shuichi Noguchi, KEK6-th ILC School, November 20113 Cavity Field Equation Drive Force ; RF Power Source & Beam Cavity Field is given by Superposition of RF Driven Field & Beam Induced Field

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Shuichi Noguchi, KEK6-th ILC School, November 20114 Beam ( Bunch ) Induced Field V b, U b Charge q L Cavity

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Shuichi Noguchi, KEK6-th ILC School, November 20115 Energy Loss Mode Excitation

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Shuichi Noguchi, KEK6-th ILC School, November 20116 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.

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Shuichi Noguchi, KEK6-th ILC School, November 20117 Beam ( Bunch ) Induced Field V b, U b q

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Shuichi Noguchi, KEK6-th ILC School, November 20118 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 )

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Shuichi Noguchi, KEK6-th ILC School, November 20119 Beam ( Bunch ) Induced Field V b1, U b1 Bunch 1 Bunch 2

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Shuichi Noguchi, KEK6-th ILC School, November 201110 Beam ( Bunch ) Induced Field U = 0 V b = 0

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Shuichi Noguchi, KEK6-th ILC School, November 201111 V b2 ｆ V b2 U 2 = q ( f V b2 – V b1 ) Reference Phase V b1 exp ( j beam t )

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Shuichi Noguchi, KEK6-th ILC School, November 201112 U 1 + U 2 = 0 qfV b1 + qfV b2 – qV b1 = 0 f = 1/2 ( or V b = 0 ) V b1 = V b2

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Shuichi Noguchi, KEK6-th ILC School, November 201113 Multi-Bunch Induced Field VbVb exp ( j beam t ) Phase Advance

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Shuichi Noguchi, KEK6-th ILC School, November 201114 CW Limit

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Shuichi Noguchi, KEK6-th ILC School, November 201115 CW Limit

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Shuichi Noguchi, KEK6-th ILC School, November 201116Shuichi Noguchi, KEKSokendai Lecture, 2011,216Shuichi Noguchi, KEKSokendai Lecture, 2011,216 exp ( j RF t ) Phaser Diagram Beam Phase O

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Shuichi Noguchi, KEK6-th ILC School, November 201117

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Shuichi Noguchi, KEK6-th ILC School, November 201118

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Shuichi Noguchi, KEK6-th ILC School, November 201119Shuichi Noguchi, KEKSokendai Lecture, 2011,219 exp ( j RF t ) Another way to find Tuning Condition Beam Phase O

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Shuichi Noguchi, KEK6-th ILC School, November 201120 ＢｙＴｕｎｅｒ

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Shuichi Noguchi, KEK6-th ILC School, November 201121 exp ( j RF t ) Phaser Diagram at Tuning Beam Phase O

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Shuichi Noguchi, KEK6-th ILC School, November 201122

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Shuichi Noguchi, KEK6-th ILC School, November 201123 Pulse Operation Drive a tuned cavity with a power

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Shuichi Noguchi, KEK6-th ILC School, November 201124 ｔ V CW VgVg VbVb PgPg TeTe VCVC 0 TbTb Cancel

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Shuichi Noguchi, KEK6-th ILC School, November 201125

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