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

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Literatures J. C. Slator “Microwave Electronics” Rev. Mod. Phys. 18,(1946)

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Maxwell’s Equation ( MKS ) Not a Beam Current Faraday Ampere

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Pointing Vector & Power Flow From Maxwell’s Equation Energy Loss + Change of Electric and Magnetic Energy = Power Flow at Boundary S

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Maxwell’s Equation - Wave Equation Cartesian Coordinate Cylindrical Coordinate = 0

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Wave Equation

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Wave Equation Helmholtz Equation Particular Solution for our Application No TEM Modes in one closed Conductor

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Maxwell’s Equation in Cartesian Coordinates

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Maxwell’s Equation in Cylindrical Coordinates

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Plane Wave in Uniform Medium

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Plane Wave in Uniform Medium Frequency Time Dependence exp( j t ) No Boundary TEM Mode

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Plane Wave Propagation Constant Attenuation Constant ( Real Part ) Phase Constant ( Imaginary Part )

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Impedance ; E / H Intrinsic Impedance

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Boundary Condition Medium 1 1, 1, Z 1 Medium 2 2, 2, Z 2 Medium 1Medium 2 ss JsJs E t1 E t2 H t1 H t2 E n1 E n2 H n1 H n2 E = H = 0 in Perfect Conductor ; E t =H n = 0 FaradayAmpere 0

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Reflection & Transmission Medium 1 1, 1, Z 1 Medium 2 2, 2, Z 2 z x Dielectric Boundary

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

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Metallic Boundary

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Metallic Boundary z x DielectricMetallic E H

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Power Loss & Surface Impedance

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Wave Guide Coaxial Line Parallel Conductor Strip Line Circular Wave Guide Rectangular Wave Guide Ridged Wave Guide

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Traveling Wave Mode

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Traveling Wave Mode

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November TE-Modes ; E z = 0

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

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November TE-mn Modes in Rectangular WG x z y a b From Boundary Condition

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Wave Length in Medium Critical Wave Length Guide Wave Length If k < k c ( c ) wave can not propagate.

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November TE-mn Modes

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November TM-Modes ; H z = 0

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November TM-mn Modes

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Power Loss

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November TEM-Modes ; E z, H z = 0

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Maxwell’s Equation in Cylindrical Coordinates

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Traveling Wave Modes

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Traveling Wave Modes

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November TM-Modes ; H z = 0

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

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

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Boundary Condition r = a z m n y mn

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November TM-man Modes

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November TE-Modes

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November TEM-Modes ; E z = H z = 0

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Coaxial Waveguide ab

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Power

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Resonator / Cavity

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Can be solved Analytically or by Computer Codes Boundary Condition Short-Circuited Plane S Open-Circuited Plane S’ S S’ Media ; wall Cavity ; Perfect Conductor

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Analytic Solution, Example L a

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November TM-01 l Modes

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Cavity RF Parameters Geometric Factor

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Shuichi Noguchi, KEK6-th ILC School, November Shuichi Noguchi, KEK6-th ILC School, November Transit Time Factor ( TTF ) TM010 Mode in Cylindrical Cavity

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Shuichi Noguchi, KEK6-th ILC School, November Calculate Skin Depth & Surface Resistance using following Values.

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