The HOM measurement of a TESLA cavity (Z84) for HOM-BPM and cavity alignment

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The HOM measurement of a TESLA cavity (Z84) for HOM-BPM and cavity alignment Ken.Watanabe:GUAS/AS (KEK) : presenter Hitoshi.Hayano, Shuichi.Noguchi, Eiji.Kako, Toshio.Shishido (KEK) Joint DESY and University of Hamburg Accelerator Physics Seminar 25, September, 27, DESY page 1/35 1

abstract abstract: Measurements of HOMs for the HOM BPM and the cavity miss-alignment was made with TESLA cavity (Z84) at KEK in this summer. The measured passbands were TE111, TM11 and TM11. When HOM in multi-cell cavity is used as cavity BPM and cavity miss-alignment, the following are important: (1) The polarization angle of used dipole mode at each cell has same angle. X and Y polarizations are separated. (2) How much is difference in the electrical mode center and the mechanical center at each cell? We tried to measure them by using bead-pull method and antenna scan. In addition, my group of KEK is developing the shape cavity (S.Noguchi, E.Kako et al) for ILC. We have made a comparison of the HOM performance of cavity and TESLA cavity. This presentation will be report the result of HOM measurement at KEK. 2

content (1) Introduction and Purpose (2) Measurement list 2-1. Checked accelerating mode: frequency and field flatness 2-2. Main HOMs passband : comparison in cavity 2-3. Qext value of HOMs : comparison in cavity 2-4. Polarization direction measurement 2-5. Difference in electrical center and mechanical center of dipole modes (3) Conclusion 3

1. Introduction and purpose At FLASH, HOM study group is doing the HOM BPM study and HOM based on cavity alignment study. When HOM in multi-cell cavity is used as cavity BPM and cavity miss-alignment measurement, the following are important: (1) The polarization angle of used dipole mode at each cell has same angle. X and Y polarizations are separated. (2) How much is difference in the electrical mode center and the mechanical center at each cell? We tried to measure them by using bead-pull method and antenna scan by used TESLA cavity (Z84) for HOM BPM and HOM base cavity alignment!!! And my group of KEK is developing TESLA shape cavity (S.Noguchi, E.Kako, H.Hayano et al) for ILC. We have made a comparison in the HOM performance of cavity and TESLA cavity. 4

2. Measurement list (1) Checked the accelerating mode: frequency and field flatness (important!!!) (2) Measured HOM passband : TE111, TM11, TM11, etc (3) Measured HOM Qext value : comparison in cavity (4) Measured the Polarize direction of Main dipole modes : bead-pull method (TE111 and TM11 passband, distribution of each cell and each mode) (5) Difference in Electrical mode center and Mechanical center : antenna scan method 5

2-1. TM1 passband superconducting rf test facility TM1 pass band [MHz] TM1-1 1271.35 TM1-2 1273.675 TM1-3 1277.175 TM1-4 1281.475 TM1-5 1286.5 TM1-6 129.425 TM1-7 1294.125 TM1-8 1296.5 Good frequency tuning for accelerating mode TM1-9 1297.375 6

2-1. TM1 field pattern E-field TM1-9 TM1-9 accelerating mode frequency:1297.375mhz Field flatness was about 9 %.8 E-field TM1-9.7.6.5.4.3.2 Amplitude of End cells were lowering in comparison with a center cells. After EP, cavity also has a same tendency..1 2 4 6 8 1 12 bead position [mm] 7

2-2. Main HOM passband superconducting rf test facility Frequency distribution of main HOMs mode TE111 TM11 TM11 TESLA [MHz] 159 to 178 1785 to 188 236 to 245 [MHz] 159 to 177 1795 to 1895 231 to 24 Few MHz change due to EP and many pre-tuning. Mode dipole TE111-1 (π/9) -2-3 -4-5 -6-7 -8 TE111-9 TM11-1 -2-3 -4-5 -6-7 -8 TM11-9 (π/9) R/Q comparison in TESLA and TESLA R/Q [Ω/cm 2 ].1.14.3.75.4 1 15.4 2.23 1.4.71.45.33 6.47 8.75 1.83.1.18.1 R/Q [Ω/m] 22.4 23.6 43 58.7 46.1 549 21 793 43.2 119 89.1 52 864 127 394.28 2.5 Mode Mono TM11-1(π) -9 (π/9) 67. 79.5 8-2 -3-4 -5-6 -7-8 TESLA R/Q [Ω].17.65.65 2.5 2.93 6.93 R/Q [Ω/m].33.11 3.31.84 8.65 6.26 37.8 188 96.8 Note: dipole mode unit is different. Calculated by Anton (DESY) and E.Kako (KEK)

2-3. Qext value of HOMs TM11 damping is weak in cavity. 1 8 1 7 1 6 TESLA Z84 Qext TESLA shape 9 cell cavity #3 Qext comparison the Qext on the and TESLA cavity TE111 mode: 1 to 18 TM11 mode: 19 to 36 TM11 mode: 37 to 45 More improvement as like a TESLA (rotation angle etc ) TE111 and TM11 is all most same. Probe conditions: TESLA Z84 : probe 12 mm, gap.3mm Qext 1 5 1 4 #3 : probe 12mm, gap 2mm cavity has a broad gap. 1 1 1 2 3 4 5 mode Tip diameter = 12mm both cavity were measured by room temperature Used probe for TESLA cavity 9

2-4. Polarization direction measurement superconducting rf test facility Important point : for HOM BPM etc 1) The polarization angle of used dipole mode at each cell has same angle. (linear polarize) 2) X and Y polarizations are separated for used dipole mode. 9 deg? (HOM BPM case : TE111-6) To check them, try to measure by using bead-pull method (off center scan). Of course, we were known that TE111-6 mode can be used as HOM BPM. (good V-curve and phase response). But, to search the field distribution in inside cavity is important, and is useful to estimate the reasonable of the this mode. Note : this measurement was one cavity only and room temperature. When 2K, the coupling beta of modes are changing. (so possible to change a polarization?), But, 2K measurement is difficult. (beam?) 1

Set up (bead-pull measurement) encoder Bead line Step motor Input coupler: blind flange HOM1 mm 13 mm HOM2 S11 or S22 monitor GP-IB Network analyzer 8363B Motor controller PC Bead line can move X,Y plane, Z-axis scan. 11

Define of polarize direction bead A Bead position mm 13 mm A A upstream Scan position :off-center 3mm (+ -.4 mm, 1deg error) :angle 9 to 9 deg, step 3 deg (temperature: + -.2 degc / scan) Total 7 scans per one mode. Bead : ceramics ball, diameter 6 mm (only detect E-field for polarize measurement) A Measurement error : about < + - 7 deg. 12

Sample: measurement data : TM11-1 (pi-mode) superconducting rf test facility 1 1 4-1 1 4 delta f [Hz] TM11-1 high 9deg delta f [Hz] TM11-1 high 6deg delta f [Hz] TM11-1 high 3deg delta f [Hz] TM11-1 high deg delta f [Hz] TM11-1 high -3deg delta f [Hz] TM11-1 high -6deg delta f [Hz] TM11-1 high -9deg TM11-1_high_field_pattern Field pattern of each measurement angle Center of cell 6 1 4 5 1 4 TM11-1 (179. MHz) delta f [Hz] 14mm with Input coupler TM11-1 (179. MHz) delta f [Hz] 247mm with Input coupler TM11-1 (179. MHz) delta f [Hz] 37mm with Input coupler TM11-1 (179. MHz) delta f [Hz] 495mm with Input coupler TM11-1 (179. MHz) delta f [Hz] 615mm with Input coupler 9 TM11-1_high_polarize_delta_f 12 6 delta f [Hz] -2 1 4-3 1 4-4 1 4-5 1 4-6 1 4 iris 2 4 6 8 1 12 14 TM11-1 (179. MHz) delta f [Hz] delta f on the section of iris are Picked up. 4 1 4 3 3 1 4 2 1 4 1 1 4 21 33 24 3 27 Plotted the polar coordinate 13

6 1 4 5 1 4 4 1 4 3 1 4 2 1 4 1 1 4 TE11 and TM11 mode case : TM11-1 (179. MHz) delta f [Hz] 21 TM11-1 (179. MHz) delta f [Hz] 14mm with Input coupler TM11-1 (179. MHz) delta f [Hz] 247mm with Input coupler TM11-1 (179. MHz) delta f [Hz] 37mm with Input coupler TM11-1 (179. MHz) delta f [Hz] 495mm with Input coupler TM11-1 (179. MHz) delta f [Hz] 615mm with Input coupler 9 TM11-1_high_polarize_delta_f 12 6 E φ in the R=R?,when Z (beam axis) and R (off cebter) are decided, finally E φ cos(nφ) or sin(nφ) From the relation of E (delta f / f ) 1/2 Become fitting function as delta f A cos 2 (φ+ξ) Where A is delta f, ξis polarize angle. 24 Sample: Data pick-up and fitting 27 3 3 33 TM11-1 (179. MHz) delta f [Hz] Peak value is defined with polarize angle 6 1 4 5 1 4 4 1 4 3 1 4 2 1 4 1 1 4 TM11-1 (179. MHz) delta f [Hz] 14mm with Input coupler TM11-1 (179. MHz) delta f [Hz] 247mm with Input coupler TM11-1 (179. MHz) delta f [Hz] 37mm with Input coupler TM11-1 (179. MHz) delta f [Hz] 495mm with Input coupler TM11-1 (179. MHz) delta f [Hz] 615mm with Input coupler TM11-1_high_polarize_delta_f -1-5 5 1 y = m1*cos(m+m3)^2+m4 値 エラー m1 48818 3515.2 m3 6.963 2.3127 m4 263.29 1995.1 カイ2 乗 4.76e+7 NA R.98982 NA y = m1*cos(m+m3)^2+m4 値 エラー m1 19636 624.1 m3 3.2516 1.289 m4 2462.6 353.89 カイ2 乗 1.4964e+6 NA R.99799 NA angle[degree] Polarize angle and fitting error y = m1*cos(m+m3)^2+m4 値 エラー m1 4967 2912.2 m3 5.5219 1.8893 m4 131.4 1652.5 カイ2 乗 3.2372e+7 NA R.99319 NA y = m1*cos(m+m3)^2+m4 値 エラー m1 53743 5954.9 m3 7.184 3.5447 m4 57.458 3381 カイ2 乗 1.3446e+8 NA R.9764 NA y = m1*cos(m+m3)^2+m4 値 エラー m1 4715 1864.6 m3 5.986 1.2744 m4 974.72 157.9 カイ2 乗 1.3291e+7 NA R.99689 NA 14

Z84 TE111-6 low (1) by using HOM BPM superconducting rf test facility delta f [Hz] TE111-6 2 1 4 TE111-6 delta f [Hz] TE111-6 -2 1 4-4 1 4-6 1 4-8 1 4 2 4 6 8 1 12 14 Center scan (metal ball diameter 6 mm) Off center scan (ceramics ball diameter 6 mm) Iris part changes delta f. 15

Z84 TE111-6 low (2) superconducting rf test facility Iris part 16

Polarize directions : Z84 TE111-6 low superconducting rf test facility Polarize angle is 55 deg 17

Z84 TE111-6 high (1) by using HOM BPM delta f [Hz] TE111-6 2 1 4 TE111-6 delta f [Hz] TE111-6 -2 1 4-4 1 4-6 1 4-8 1 4 2 4 6 8 1 12 14 Center scan (metal ball diameter 6 mm) Off center scan (ceramics ball diameter 6 mm) 18

Z84 TE111-6 high (2) superconducting rf test facility Iris part 19

Polarize directions : Z84 TE111-6 high superconducting rf test facility Polarize angle is -35 deg 2

Polarize direction in Z84 TE111-6 : each cell distribution superconducting rf test facility 1 8 TE111-6 lowangle[deg] TE111-6 high angle[deg] TE111-6 delta [deg] Z84_TE111-6_polaroze Same polarize angle at each cell. (Linear polarize) polarize direction [deg] 6 4 2 ave. max min SE(standard error) Low -35-31 -39 1 High 55 6 51 1 delta 96 82 9 1.8 unit[deg] And separated X and Y polarization. (9deg) cavity also was same tendency. -2-4 Downstream #1 #2 #3 #4 #5 #6 #7 #8 #9 position Upstream(HOM1 side) 21

Summary table of polarize angle in each mode Mode No. TE111 : ave. (error), max, min [deg.] Low High Delta TM11 : ave. error, max, min [deg.] Low High Delta 1 Ave. 19 (1.5) Max:23, Min:13 Ave. -68 (.8) Max:-66, Min:-72 87 (2.) Max:95,Min:8 Ave. 86 (.6) Max89, Min:83 Ave.-1 (.8) Max:3, Min:-4 87 (1.2) Max:92,Min:82 2 Ave. 23 (.3) Max:24, Min:22 Ave. -67 (.6) Max:-65, Min:-69 9 (.8) Max:92,Min:88 Ave. 16 (.4) Max:18, Min:14 Ave. -69 (1.1) Max:-6, Min:-73 86 (1.3) Max:9,Min:76 3 Ave. 18 (1.5) Max:28, Min:14 Ave. -76 (.8) Max:-74, Min:-82 94 (2.1) Max:11,Min:9 Ave. -56 (.3) Max:-54, Min:-58 Ave. 4 (.7) Max:43, Min:37 96 (.7) Max:99,Min:93 4 Ave. 17 (.6) Max:21, Min:16 Ave. -74 (.4) Max:-73, Min:-76 9 (.6) Max:94,Min:89 Ave. 77 (.8) Max:82, Min:74 Ave. 4 (1.4) Max:13, Min: 74 (1.7) Max:8,Min:63 5 Ave. 49 (.5) Max:52, Min:46 Ave. -45 (.6) Max:-43, Min:-48 93 (1.) Max:99,Min:89 Ave. 27 (1.7) Max:31, Min:12 Ave. 87 (3.2) Max:111, Min:77 6 (4.1) Max:82,Min:47 6 Ave. 55 (1.) Max:6, Min:51 Ave. -35 (1.) Max:-31, Min:-39 91 (1.8) Max:96,Min:82 Ave. 93 (1.1) Max:98, Min:86 Ave. 9 (1.) Max:15, Min:5 84 (1.9) Max:93,Min:74 7 Ave. 52 (.9) Max:56, Min:49 Ave. -38 (.5) Max:-36, Min:-4 91 (.9) Max:93,Min:86 Ave. 115 (1.) Max:119, Min:19 Ave. 3 (1.) Max:37, Min:27 86 (1.9) Max:92,Min:73 8 Ave. 43 (.5) Max:45, Min:41 Ave. -46 (.5) Max:-43, Min:-49 9 (.5) Max:92,Min:88 Ave. 81 (2.7) Max:96, Min:69 Ave. -5 (.9) Max:-2, Min:-9 86 (3.) Max:1,Min:72 9 Ave. 37 (.6) Max:4, Min:35 Ave. -49 (.6) Max:-46, Min:-51 86 (1.1) Max:91,Min:81 Ave. 97 (2.5) Max:17, Min:88 Ave. 13 (1.3) Max:17, Min:1 82 (3.5) Max:91,Min:72 TE111-1,2,3,4 were same, and TE111-5,6,7,8,9 were same. TM11 modes had a various angle. Error: standard error, Delta: High Low [deg] 22

Delta f [Hz] vs delta angle [deg] in doublet of dipole mode superconducting rf test facility 1 delta deg of polarize direction [deg] delta_f_of_doublet_vs_polarize_direction TESLA Z84 mode TE111-1 -2-3 Delta f [khz] of doublet 644 361 38 Delta angle [deg] of doublet 87 9 94 polarize direction [deg] 9 8 7 6-4 -5-6 -7-8 -9 TM11-1 -2 249 48 398 46 267 366 355 361 91 92 9 9 9 86 87 85 5 1 2 3 4 5 6 7 delta f of doublet [khz] -3-4 -5 167 117 48 96 78 6 When the delta f [Hz] of doublet is small less than about 1 khz, its delta angle is not 9 deg. due to the overlap each other of doublet. -6-7 -8-9 12 232 93 627 84 86 86 82 23

2-5. Difference of Electrical mode and Mechanical center superconducting rf test facility To used HOM as cavity alignment, agreement of electrical mode and mechanical center is important. We tried to be measurement it by using antenna scan method. How does it see a result?, Is this method possible? In addition, we tried to be cross-check the polarize direction by measured bead-pull method. Measured polarize direction by bead pull method and the orthogonal axis of it scanned. 24

Picture of antenna scan system (HOM stand at ) superconducting rf test facility wire Dummy flange : Alignment target Wire (diameter = 7 um) Reference plane (plate) Coaxial antenna Rotate reference : Input coupler Jig for alignment 25

Detail setup Alignment target (antenna center and cavity center [beam pipe center] ): <1 um Up view Jig for antenna alignment Reference plane Dummy flange : Alignment target Tungsten wire Side view Reference plane Weight :51 g Wire tension X-Y-Z stage and coaxial antenna for antenna scan X-Y stage and roller for cavity alignment Reference plate 26

Coaxial antenna for antenna scan superconducting rf test facility Concentricity target : 1 um Machinable ceramics 27

condition-1 Microwave absorber To stabilize a RF signal. Input coupler port Insert length of antenna:3mm HOM1(5 ohm) HOM2 S22 S21 NWA E8363B Pin (coaxial antenna) RF amp 15dB RF amp : mini circuit, ZX6-613E-S+ RF amp 15dB RF amp : mini circuit, ZX6-613E-S+ Measured S21(transmission) max search vs antenna position 28

Spectrum of condition-1 (HOM2 S22 and S21) superconducting rf test facility Single peak (TE111-4) Twin peak (TE111-6) high high S21 S21 Low S22 high Low S22 high Spectrum pattern (S22) dependent on the polarize direction Try measurement with both case 29

-76 deg superconducting rf test facility TE111-4_H_XX=mm linearmag TE111-4_H_XX=mm Phase 27_9_6_te111-4_H_-76deg_scan (XX=mm).1 2 15.8 1 Single peak (mode : TE111-4 high peak) YY-axis XX-axis (14 deg) linearmag.6.4 5-5 Phase.2-1 -15-2 -5-4 -3-2 -1 YY[mm] TE111-4_H_YY=mm linearmag TE111-4_H_YY=mm Phase 14 deg linearmag 27_9_6_te111-4_H_+14deg_scan (YY=mm).1 2 15.8.6 5.4-5 -1.2-15 -2-4 -3-2 -1 1 2 3 4 XX[mm] 1 Phase High peak: polarize direction = -76 deg Measured by bead-pull method This mode could be observed V-curve, this signal was very good. And orthogonal axis of YY scanned, XX-axis was no response to amplitude and phase. Measured polarize angle by bead-pull method, and antenna scan result was same polarize angle. Could be cross-check to both method result. 3

XX-scan YY=mm linearmag XX-scan YY=mm phase Twin peak (mode : TE111-6 high peak) -35deg.6.5 te111-6_h_-35deg_scan_(yy=mm) Mover limit -2-3 High peak: -35 deg YY-axis.4-4 linearmag.3-5 phase [deg].2-6.1-7 -8-4 -2 2 4 6 XX[mm] YY-scan XX=mm linearmag YY-scan XX=mm Phase XX-axis 55deg.6.5.4 te111-6_h_55deg_scan_(xx=mm) -2-3 -4 Low peak: polarize direction = +55 deg High peak and Low peak is orthogonal. linearmag.3.2.1-5 -6-7 Phase [deg] This mode had the response (amplitude and phase), but could not be observed V-curve at the mover area. However, in scanning the orthogonal axis of YY, had the phase response. Maybe signal had a possibility mode mix. -8-4 -3-2 -1 1 2 3 4 YY[mm] 31

Result of condition-1 mode HOM2 (reflection) condition-1 Polarize direction (bead) Off-center [deg] TE111-1 Single peak : High L: 19deg, H: -68 deg -2.6 mm TE111-2 Single peak : High L: 23deg, H: -67 deg -2.4 mm TE111-3 Single peak : High L: 18deg, H: -76 deg -1.5 mm TE111-4 Single peak : High L: 17deg, H: -74 deg -2. mm TM11-4 Single peak : Low L: 77deg, H: 5 deg -.5 mm TM11-5 Single peak : High L: 27deg, H: 87 deg -1.5 mm TM11-6 Single peak : Low L: 93deg, H: 9 deg -1. mm TM11-8 Single peak : Low L: 81deg, H: -4 deg +.8 mm TM11-9 Single peak : Low L: 98deg, H: 13 deg -.4 mm Could be measured a single peak coupling mode only. Other modes were twin peak at HOM2 reflection. Twin peak case, could be seem response of dependence antenna position, but could not observe a V- curve. The off-center had the shifting HOM coupler side, about few millimeters. Note, this measurement has the strong effect of the end cell, not all cells. 32

Condition-2 Input coupler port HOM2 HOM1 S22 RF amp 15dB S21 RF amp : mini circuit, ZX6-613E-S+ Pin (coaxial antenna) S11 NWA E8363B RF amp 15dB RF amp : mini circuit, ZX6-613E-S+ Changed cavity position!! Excited from HOM2 side, pick-up from HOM1 port. 33

Result of condition-2 Could not observe the V-curve. Due to input coupler port? (break a symmetrical geometry of beam pipe? Or more big off centers?) Try to change the antenna position (more depth to insert length, measured mode etc ), but could not observe the good V-curve. 34

3. Conclusion Measurements of HOMs for the HOM BPM and the cavity miss-alignment was made with TESLA cavity (Z84) at KEK in this summer. 1) Accelerating mode frequency was very good for 2K operation. Field flatness was about 9%. 2) TE111 and TM11 passband was all most same, but TM11 was different about -5 MHz lower than TESLA. 3) TE111 and TM11 Qext was all most same, but TM11 was weak in cavity, more improvement to obtain the strong damping as like the TESLA. 4) All dipole mode polarize direction at each cell were the linear polarize. Not circular polarize. Made a table all TE111 and TM11 passband of polarize directions. When the doublet delta f [Hz] is small less than 1 khz, its delta angle is not 9 deg. Due to the overlap each other of doublet. 5) Measured polarize angle by bead-pull method, and antenna scan result was same polarize angle. Could be cross-check from both method result. Could observe the V-curve at single peak coupling modes, in this case, off-center had the shifting HOM coupler side, about few millimeters. However, this measurement has the strong effect of the end cell. The twin peak mode and HOM2 side exited case could not measure these. 35

Thank you for your kind attention!! 36

.12 E-field TM1-8 field_pattern TM1-8:1296.5 MHz Passband TM1(1).12 E-field TM1-7 field_pattern TM1-7:1294.125 MHz.1.1.8.8 E-field TM1-8.6.4 E-field TM1-7.6.4.2.2 2 4 6 8 1 12 14 2 4 6 8 1 12 14 E-field TM1-6 Metal ball, diameter =6mm, center scan E-field TM1-5.12 field_pattern TM1-6:129.425 MHz.12 field_pattern TM1-5:1286.5 MHz.1.1.8.8 E-field TM1-6.6.4 E-field TM1-5.6.4.2.2 2 4 6 8 1 12 14 2 4 6 8 1 12 14 37

.12.1 E-field TM1-4 field_pattern TM1-4:1281.475 MHz Passband TM1(2).12.1 E-field TM1-3 field_pattern TM1-3:1277.175 MHz.8 E-field TM1-4.8.6.4 E-field TM1-3.6.4.2.2 2 4 6 8 1 12 14 E-field TM1-2 Metal ball, diameter =6mm, center scan 2 4 6 8 1 12 14 E-field TM1-1.12 field_pattern TM1-2:1273.675 MHz field_pattern TM1-1:1271.35 MHz.12.1.1 E-field TM1-2.8.6.4 E-field TM1-1.8.6.4.2.2 2 4 6 8 1 12 14 2 4 6 8 1 12 14 38

.16 E-field TM11-1 field pattern TM11-1:2361.1MHz Passband TM11(1).15 E-field TM11-2 field pattern TM11-2:2369.39MHz.14.12 E-field TM11-1.1.8.6 #1 E-field TM11-2.1.5.4.2 2 4 6 8 1 12 14 2 4 6 8 1 12 14 E-field TM11-3.14.12 field pattern TM11-3:2377.95MHz Metal ball, diameter =6mm, center scan.1 E-field TM11-3.8.6.4.2 2 4 6 8 1 12 14 39

superconducting rf TM11-4:239.36MHz test facility.12 E-field TM11-4 field pattern Passband TM11(2).14 E-field TM11-5 field pattern TM11-5:243.8 MHz.1.12.8.1 E-field TM11-4.6.4 E-field TM11-5.8.6.4.2.2 2 4 6 8 1 12 14 2 4 6 8 1 12 14 E-field TM11-6.12 field pattern TM11-6:2415.79 MHz.1 E-field TM11-6.8.6.4 Metal ball, diameter =6mm, center scan.2 2 4 6 8 1 12 14 4

.1 E-field TM11-7 field pattern TM11-7:2431.47 MHz Passband TM11(3).12.1 E-field TM11-8 field pattern TM11-8:244.72 MHz.8.8 E-field TM11-7.6.4 E-field TM11-8.6.4.2.2 2 4 6 8 1 12 14 2 4 6 8 1 12 14 E-field TM11-9.14 field pattern TM11-9:2449.32 MHz.12 E-field TM11-9.1.8.6 Asymmetry field pattern Metal ball, diameter =6mm, center scan.4.2 2 4 6 8 1 12 14 41

TE111-1 superconducting rf test facility 2 1 4 delta f [Hz] TE111-1 Passband TE111(1) 2 1 4 delta f [Hz] TE111-2 TE111-2 delta f [Hz] TE111-1 -2 1 4-4 1 4-6 1 4 delta f [Hz] TE111-2 -2 1 4-4 1 4-6 1 4-8 1 4-8 1 4-1 1 5 Cell end -1 1 5 2 4 6 8 1 12 14 2 4 6 8 1 12 14 2 1 4 delta f [Hz] TE111-3 TE111-3 Metal ball, diameter =6mm, center scan delta f [Hz] TE111-3 -2 1 4-4 1 4-6 1 4-8 1 4 2 4 6 8 1 12 14 42

TE111-4 superconducting rf test facility 2 1 4 delta f [Hz] TE111-4 Passband TE111(2) 2 1 4 delta f [Hz] TE111-5 TE111-5 delta f [Hz] TE111-4 -2 1 4-4 1 4 delta f [Hz] TE111-5 -2 1 4-4 1 4-6 1 4-6 1 4-8 1 4 2 4 6 8 1 12 14-8 1 4 2 4 6 8 1 12 14 delta f [Hz] TE111-6 2 1 4 TE111-6 delta f [Hz] TE111-6 -2 1 4-4 1 4 Metal ball, diameter =6mm, center scan -6 1 4-8 1 4 2 4 6 8 1 12 14 43

2 1 4 1 1 4 delta f [Hz] TE111-7 TE111-7 Passband TE111(3) 2 1 4 1 1 4 delta f [Hz] TE111-8 TE111-8 delta f [Hz] TE111-7 -1 1 4-2 1 4-3 1 4-4 1 4 delta f [Hz] TE111-8 -1 1 4-2 1 4-3 1 4-5 1 4-4 1 4-6 1 4 2 4 6 8 1 12 14-5 1 4 2 4 6 8 1 12 14 delta f [Hz] TE111-9 2 1 4 TE111-9 delta f [Hz] TE111-9 1 1 4-1 1 4 Metal ball, diameter =6mm, center scan -2 1 4-3 1 4 2 4 6 8 1 12 14 44

TM11-1 superconducting rf test facility 5 delta f [Hz] TM11-1 Passband TM11(1) 4 1 4 delta f [Hz] TM11-2 TM11-2 2 1 4 delta f [Hz] TM11-1 -5-1 1 4 delta f [Hz] TM11-2 -2 1 4-4 1 4-1.5 1 4-6 1 4-2 1 4 2 4 6 8 1 12 14-8 1 4 2 4 6 8 1 12 14 delta f [Hz] TM11-3 4 1 4 TM11-3 delta f [Hz] TM11-3 2 1 4-2 1 4 Metal ball, diameter =6mm, center scan -4 1 4-6 1 4 2 4 6 8 1 12 14 45

TM11-4 superconducting rf test facility 3 1 4 delta f [Hz] TM11-4 Passband TM11(2) 3 1 4 delta f [Hz] TM11-5 TM11-5 2 1 4 2 1 4 delta f [Hz] TM11-4 1 1 4-1 1 4-2 1 4 delta f [Hz] TM11-5 1 1 4-1 1 4-3 1 4-2 1 4-4 1 4 2 4 6 8 1 12 14-3 1 4 2 4 6 8 1 12 14 delta f [Hz] TM11-6 4 1 4 TM11-6 3 1 4 delta f [Hz] TM11-6 2 1 4 1 1 4 Metal ball, diameter =6mm, center scan -1 1 4-2 1 4 2 4 6 8 1 12 14 46

superconducting rf test TM11-7 facility 3 1 4 delta f [Hz] TM11-7 Passband TM11(3) 3 1 4 delta f [Hz] TM11-8 TM11-8 2.5 1 4 2.5 1 4 delta f [Hz] TM11-7 2 1 4 1.5 1 4 1 1 4 5 delta f [Hz] TM11-8 2 1 4 1.5 1 4 1 1 4 5-5 2 4 6 8 1 12 14-5 2 4 6 8 1 12 14 delta f [Hz] TM11-9 2.5 1 4 TM11-9 2 1 4 delta f [Hz] TM11-9 1.5 1 4 1 1 4 5-5 2 4 6 8 1 12 14 47