for the PETRA III Cavity
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1 Eigenmode Analysis for the PETRA III Cavity W. Ackermann, H. De Gersem, T. Weiland Institut für Theorie Elektromagnetischer Felder, Technische Universität Darmstadt Status Report June 24, 2016 TEMF, Darmstadt June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 1
2 Outline Motivation Computational ti Model - Drawings and geometry information - Numerical problem formulation Cavity tuning - Cell radius variation for the reliable and spark models Simulation results - Mode pattern and characteristic data for the reliable and spark models Summary / Outlook June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 2
3 Outline Motivation Computational ti Model - Drawings and geometry information - Numerical problem formulation Cavity tuning - Cell radius variation for the reliable and spark models Simulation results - Mode pattern and characteristic data for the reliable and spark models Summary / Outlook June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 3
4 Motivation PETRA Cavities - Photographs h Pick-Up Loop Waveguide-Coaxial Transition (Doorknob) Tuning Plunger Vacuum Pump PETRA From III time to time automatic PETRA II switch-off of the power supply due to unexpected high fields in the cavity or waveguide system. June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 4
5 Motivation Investigation Strategy - Set up model spark with plunger positions 9 mm, modify radii r 1 to r 7 such, that the fundamental mode oscillates at 499,65 MHz and the bead-pull measurement Cavity Nr. 23 is reproduced. - Set up model reliable with plunger positions 28 mm, modify radii r 1 to r 7 such, that the fundamental mode oscillates at 499,65 MHz and the bead-pull measurement Cavity Nr. 48 is reproduced. - Use a port boundary condition for the waveguide during the tuning procedure. - Calculate R/Q and Q values for all modes up to 1,2 GHz. - Determine max. E and max. H in the plunger slits for all nodes. Keep the energy per mode constant. - Use either PEC or PMC boundary conditions instead of the port boundary condition for the waveguide during the mode calculations. June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 5
6 Motivation PETRA Cavities Design cavity radius r 2 = r 6 = 210,85 mm 9 mm 28 mm Model spark Model reliable June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 6
7 Motivation Bead-pulling measurement for the model spark PETRA SL_Cy S = 11.8 mm S = 8.4 mm June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 7
8 Motivation Bead-pulling measurement for the model reliable PETRA SR_Cy1 S = 30.0 mm S = 29.4 mm June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 8
9 Outline Motivation Computational ti Model - Drawings and geometry information - Numerical problem formulation Cavity tuning - Cell radius variation for the reliable and spark models Simulation results - Mode pattern and characteristic data for the reliable and spark models Summary / Outlook June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 9
10 Computational Model PETRA III, 500 MHz, 7-cell Cavity - Geometry information Input Waveguide Cavity Pump Port Tuning Plunger Tuning Plunger Pump Port June 27, 2016 TU Darmstadt Fachbereich 18 Institut für Theorie Elektromagnetischer Felder Wolfgang Ackermann 10
11 Computational Model PETRA III, 500 MHz, 7-cell Cavity - Geometry information Input Waveguide Cavity Pump Port Tuning Plunger Tuning Plunger Pump Port June 27, 2016 TU Darmstadt Fachbereich 18 Institut für Theorie Elektromagnetischer Felder Wolfgang Ackermann 11
12 Computational Model PETRA III, 500 MHz, 7-cell Cavity - Port information Cavity Port with finite number of modes Input Waveguide Length of the waveguide Length of the beam tube Electrically closed Input Coupler WR-1800 to 6¼ inch Waveguide-Coaxial Pump Port Tuning Plunger Transition June 27, 2016 TU Darmstadt Fachbereich 18 Institut für Theorie Elektromagnetischer Felder Wolfgang Ackermann 12
13 Computational Model PETRA III, 500 MHz, 7-cell Cavity - Beam-tube length k z = /m Damping = 10-5 Damping ! Length = { 174.6, 232.9, 291.1, } mm Length = 300 mm June 27, 2016 TU Darmstadt Fachbereich 18 Institut für Theorie Elektromagnetischer Felder Wolfgang Ackermann 13
14 Computational Model PETRA III, 500 MHz, 7-cell Cavity - Waveguide length Damping = 10-5 Number of port modes = 14 k z = /m! Damping ! Length = { 239.1, 318.8, , } mm Length = 400 mm June 27, 2016 TU Darmstadt Fachbereich 18 Institut für Theorie Elektromagnetischer Felder Wolfgang Ackermann 14
15 Computational Model PETRA III, 500 MHz, 7-cell Cavity - Geometry information (Details of fthe input coupler) Photograph Outer Conductor Alumium Oxide Windows Cone Courtesy of Kathrin Cottel Coupling Loop Inner Conductor June 27, 2016 TU Darmstadt Fachbereich 18 Institut für Theorie Elektromagnetischer Felder Wolfgang Ackermann 15
16 Computational Model PETRA III, 500 MHz, 7-cell Cavity - Geometry information (Details of fthe input coupler) Photograph Outer Conductor Coupling Loop Cone Courtesy of Kathrin Cottel June 27, 2016 TU Darmstadt Fachbereich 18 Institut für Theorie Elektromagnetischer Felder Wolfgang Ackermann 16
17 Computational Model PETRA III, 500 MHz, 7-cell Cavity - Geometry information (Details of fthe tuning plungers) Modeling of Guide and Spring Neglect Cooling Channels Photograph Tuning Plungers June 27, 2016 TU Darmstadt Fachbereich 18 Institut für Theorie Elektromagnetischer Felder Wolfgang Ackermann 17
18 Computational Model PETRA III, 500 MHz, 7-cell Cavity - Geometry information (Details of fthe tuning plungers) Modeling of Guide and Spring Consider Gap and Housing Courtesy of Michael Ebert June 27, 2016 TU Darmstadt Fachbereich 18 Institut für Theorie Elektromagnetischer Felder Wolfgang Ackermann 18
19 Computational Model PETRA III, 500 MHz, 7-cell Cavity - Geometry information (Details of fthe tuning plungers) Modeling of Guide and Spring Consider Gap and Housing Courtesy of Michael Ebert June 27, 2016 TU Darmstadt Fachbereich 18 Institut für Theorie Elektromagnetischer Felder Wolfgang Ackermann 19
20 Computational Model PETRA III, 500 MHz, 7-cell Cavity - Geometry information (Details of fthe tuning plungers) Spring is now fixed (only plunger movable) Plunger position = -20 mm Plunger position = 50 mm June 27, 2016 TU Darmstadt Fachbereich 18 Institut für Theorie Elektromagnetischer Felder Wolfgang Ackermann 20
21 Outline Motivation Computational ti Model - Drawings and geometry information - Numerical problem formulation Cavity tuning - Cell radius variation for the reliable and spark models Simulation results - Mode pattern and characteristic data for the reliable and spark models Summary / Outlook June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 21
22 Cavity Tuning Model spark Red: Bead-pulling measurement of the frequency shift 499 f = MHz 499 Blue: Bead-pulling simulation of the frequency shift (scaled vs. position) R = { , , , , , , } mm dr = { 0.0, 0 0.0, 0 0.0, 0 0.0, 0 0.0, 0 0.0, } mm June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 22
23 Cavity Tuning Model spark - Sensitivity information Waveguide Radius variation of each individual, sensitivity of: frequency field flatness dr 6 dr 7 dr 4 dr 5 dr 6 dr 7 Tuning Plunger Pump Port June 27, 2016 TU Darmstadt Fachbereich 18 Institut für Theorie Elektromagnetischer Felder Wolfgang Ackermann 23
24 Cavity Tuning Model spark June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 24
25 Cavity Tuning Model spark Red: Bead-pulling measurement of the frequency shift 499 f = MHz 499 Blue: Bead-pulling simulation of the frequency shift (scaled vs. position) R = { , , , , , , } mm dr = { 0.134, , , , 0.075, , } mm June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 25
26 Cavity Tuning Model reliable Red: Bead-pulling measurement of the frequency shift f = MHz Blue: Bead-pulling simulation of the frequency shift (scaled vs. position) R = { , , , , , , } mm dr = { 0.0, 0 0.0, 0 0.0, 0 0.0, 0 0.0, 0 0.0, } mm June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 26
27 Cavity Tuning Model reliable June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 27
28 Cavity Tuning Model reliable Red: Bead-pulling measurement of the frequency shift f = MHz Blue: Bead-pulling simulation of the frequency shift (scaled vs. position) R = { , , , , , , } mm dr = { 0.295, 0.147, 0.320, 0.462, 0.322, 0.152, } mm June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 28
29 Cavity Tuning Model spark Port - Cavity cut view - Input coupler cut view - Waveguide cut view Accelerating Mode June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 29
30 Cavity Tuning Model spark Port - Cavity truncatedt - Input coupler cut view - Waveguide cut view Accelerating Mode June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 30
31 Outline Motivation Computational ti Model - Drawings and geometry information - Numerical problem formulation Cavity tuning - Cell radius variation for the reliable and spark models Simulation results - Mode pattern and characteristic data for the reliable and spark models Summary / Outlook June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 31
32 Simulation Results Probe Locations for Maximum Field Determination 3420 sample points per plunger Grid spacing ~ 5 mm June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 32
33 Simulation Results Probe Locations for Maximum Field Determination Probes equally distributed on a cylinder jacket inside the plunger slits. June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 33 Grid spacing ~ 5 mm
34 Simulation Results Resonance Frequency (all calculated modes) MHz Frequency / M Mode Index June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 34
35 Simulation Results Resonance Frequency (first forty modes) MHz Frequency / M Significant frequency shift for the first two modes. Mode Index June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 35
36 Simulation Results Quality Factor (all calculated modes) or Quality Facto Mode Index June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 36
37 Simulation Results On Axis R / Q (all calculated modes) s) R / Q (on axis Mode Index June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 37
38 Simulation Results Off Axis R / Q (all calculated modes) tion) shift 5mm in x-direct R / Q (off axis, s Mode Index June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 38
39 Simulation Results Off Axis R / Q (all calculated modes) tion) shift 5mm in y-direct R / Q (off axis, s Mode Index June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 39
40 Simulation Results Maximum Field Values in the Plunger Slits (all modes) Slit / V/m n Plunger S Strength in tric Field S Max Elect Mode Index June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 40
41 Simulation Results Maximum Field Values in the Plunger Slits (all modes) Max Magn neti Field Strength in Plunger Slit / A/m Mode Index June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 41
42 Simulation Results Field Classification and Mode Correlation - Evaluation on - Three lines per cavity circular lines dz = ± 50 mm - R = 100 mm - 60 samples per line June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 42
43 Simulation Results Field Classification and Mode Correlation Model ReliableE Model SparkE Model ReliableH Model SparkH June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 43
44 Simulation Results Mode Correlation - Model reliable Model ReliableE Model ReliableH E Index E Index H June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 44
45 Simulation Results Mode Correlation 144 modes identified (56 modes rejected) ReliableE ReliableH MHz Fre equency / 116 modes skipped E3 E4 H3 H4 Example: Modes 3 5 rejected E5 H5 June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 45 Mode Index
46 Simulation Results Mode Correlation Mode E99 Mode H99 Mode E100 No corresponding mode available Mode E101 Mode H100 June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 46
47 Simulation Results Field Classification Mode 6 Ma agnitude Monopole Azimuthal Order Mode 7 Magn nitude Monopole Azimuthal Order June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 47
48 Simulation Results Field Classification Mode 1 Ma agnitude Dipole Azimuthal Order Mode 78 weighted mean = Magn nitude Dipole? Quadruople? Azimuthal Order June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 48
49 Simulation Results Field Classification upper: Model ReliableE Freque ency Azimuthal Order Quadrupole lower: Model ReliableH Small white dot if 0.01< fractional part <0.99 Artificial vertical offset to separate the marks Dipole Monopole Modal Index June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 49
50 Simulation Results Mode Correlation ( reliable E, reliable H ) First monopole passband: modes 6-12 Vertical shift if EM field at the port present R/Q (x=0 mm) in Ohm mm, y=5 m Index June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 50
51 Simulation Results Mode Correlation ( reliable E, reliable H ) Mode E6 Mode H6 Mode E7 Mode H7 Mode E8 Mode H8 June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 51
52 Simulation Results Mode Correlation ( spark E, spark H ) First monopole passband: modes 6-12 Vertical shift if EM field at the port present R/Q (x=0 mm) in Ohm mm, y=5 m Index June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 52
53 Simulation Results Mode Correlation ( spark E, spark H ) Mode E6 Mode H6 Mode E7 Mode H7 Mode E8 Mode H8 June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 53
54 Simulation Results Mode Correlation ( reliable H, spark H ) First monopole passband: modes 6-12 R/Q (x=0 mm) in Ohm mm, y=5 m Index June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 54
55 Simulation Results Eigenmodes in the Frequency Range from 3.8 to 3.9 GHz Reliable E Spark E June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 55
56 Simulation Results Eigenmodes in the Frequency Range from 3.8 to 3.9 GHz Reliable E, 821 modes Spark E, 874 modes June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 56
57 Simulation Results Eigenmodes in the Frequency Range from 3.8 to 3.9 GHz Reliable E, 821 modes Spark E, 874 modes June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 57
58 Simulation Results Eigenmodes in the Frequency Range from 3.8 to 3.9 GHz Reliable E, 821 modes Spark E, 874 modes June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 58
59 Outline Motivation Computational ti Model - Drawings and geometry information - Numerical problem formulation Cavity tuning - Cell radius variation for the reliable and spark models Simulation results - Mode pattern and characteristic data for the reliable and spark models Summary / Outlook June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 59
60 Summary / Outlook Summary: - Precise modeling of the PETRA III cavity including pump ports, tuning plunger and input coupler - Eigenmode analysis performed up to 1.2 GHz (mode pattern, frequency, R/Q, Q via power loss, slit field) - Mode classification w.r.t. the azimuthal order - R/Q of the fundamental monopole passband sensitive to model change from spark to reliable Outlook: - Calculation of monopole passband with port BC? June 27, 2016 TU Darmstadt Fachbereich 18 Institut Theorie Elektromagnetischer Felder Wolfgang Ackermann 60
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