Using Higher Order Modes in the Superconducting TESLA Cavities for Diagnostics at DESY

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Using Higher Order Modes in the Superconducting TESLA Cavities for Diagnostics at FLASH @ DESY N. Baboi, DESY, Hamburg for the HOM team : S. Molloy 1, N. Baboi 2, N. Eddy 3, J. Frisch 1, L. Hendrickson 1, O. Hensler 2, D. McCormick 1, J. May 1, S. Nagaitsev 3, O. Napoly 4, R.C. Paparella 4, L. Petrosyan 2, L. Piccolli 3, R. Rechenmacher 3, M. Ross 1, C. Simon 4, T. Smith 1, K. Watanabe 5 and M. Wendt 3 1 SLAC, 2 DESY, 3 FNAL, 4 CEA-DSM/DAPNIA, 5 KEK GSI, Nov 23 - Uni Frankfurt, Nov. 24, 2006 GSI, Nov 23 - Uni Frankfurt, Nov. 24, 2006

Using Higher Order Modes in the Superconducting TESLA Cavities for Diagnostics at FLASH @ DESY DESY FLASH user facility - SASE-FEL test facility for ILC and XFEL The TESLA cavity superconducting technology Higher Order Modes - HOM Higher Order Modes as diagnostics beam position; cavity alignment; beam phase etc. method results Summary and outlook GSI, Nov. 23 - Uni Frankfurt, Nov. 24, 2006 GSI, Nov. 23 - Uni Frankfurt, Nov. 24, 2006

Using Higher Order Modes in the Superconducting TESLA Cavities for Diagnostics at FLASH @ DESY DESY FLASH user facility - SASE-FEL test facility for ILC and XFEL The TESLA cavity superconducting technology Higher Order Modes - HOM Higher Order Modes as diagnostics beam position; cavity alignment; beam phase etc. method results and status Summary and outlook GSI, Nov. 23 - Uni Frankfurt, Nov. 24, 2006 GSI, Nov. 23 - Uni Frankfurt, Nov. 24, 2006

Deutsches Elektronen-Synchrotron - DESY

Particle Physics HERA PETRA DORIS Present: HERA proton-positron collider protons: 920 GeV e + or e - : 27 GeV Future: LHC and ILC ILC: 500 GeV e - -e + collider project study DESY PIA

HERA Research with Photons: Synchrotron Radiation PETRA DORIS Present: DORIS positron synchrotron Future: PETRA3 3 rd generation light source DESY PIA

HERA Research with Photons: SASE Free Electron Laser PETRA FLASH Present: FLASH VUV-FEL and TTF2 48-13 nm (later 6 nm) Future: XFEL 6 nm - 1 Å DORIS DESY PIA Hajdu, Chapman et al.

Using Higher Order Modes in the Superconducting TESLA Cavities for Diagnostics at FLASH @ DESY DESY FLASH user facility - SASE-FEL test facility for ILC and XFEL The TESLA cavity superconducting technology Higher Order Modes - HOM Higher Order Modes as diagnostics beam position; cavity alignment; beam phase etc. method results and status Summary and outlook GSI, Nov. 23 - Uni Frankfurt, Nov. 24, 2006 GSI, Nov. 23 - Uni Frankfurt, Nov. 24, 2006

Free electron LASer in Hamburg FLASH RF gun accelerator modules collimator undulators Laser bunch compressor bunch compressor 4 MeV 150 MeV 450 MeV 1000 MeV bypass FEL experimental area 250 m

Self-Amplified Spontaneous Emission Free Electron Laser λ u spontaneous emission interaction with generated radiation micro-bunching coherent emission of the micro-bunches N S N S

Self-Amplified Spontaneous Emission Free Electron Laser (2)

Properties high intensity (brilliance) ultra short pulses tunable monochromatic coherent Performance up to now at FLASH 48-13 nm 8.5 nm on 3 rd harmonics shortest wavelengths achieved worldwide saturation at 13.7 nm pulse length < 100 fs rms power up to 100 μj / pulse SASE-FEL Properties

Application Examples of SASE-FELs Ultra-fast coherent X-ray diffraction made possible by the high brilliance and short pulse length recently - first demonstration Pump and probe made possible by short pulse length make movies of dynamic processes Hajdu, Chapman et al.

A Bit of History - The TESLA Technology TESLA: TeV Energy Superconducting Linear Accelerator 500 GeV c.m. e - -e + linear collider project study TTF: TESLA Test Facility test superconducting technology XFEL: X-ray Free Electron Laser at TESLA SASE-FEL proof of principle at TTF approved as independent project ILC: International Linear Collider FLASH: Free electron LASer in Hamburg new flashy name TTF2 / VUV-FEL: upgrade of TTF test facility for TESLA and the XFEL+ user facility TTF2: linac VUV-FEL: light

The European XFEL 3.4km

Status of the European XFEL SASE FEL: 6 nm 1 Å ; with 20 GeV superconducting linear accelerator, based on the TESLA technology, proposal Oct. 2002 approved by German government in Feb. 2003 as European project Commitment by: 50%: German gov. 10%: Hamburg & Schleswig-Holstein >= European and International partners 2006: final Technical Design Report Planfeststellungsverfahren ended start building next year planned start for 2012 FLASH as test facility for the XFEL also for the ILC

Using Higher Order Modes in the Superconducting TESLA Cavities for Diagnostics at FLASH @ DESY DESY FLASH user facility - SASE-FEL test facility for ILC and XFEL The TESLA cavity superconducting technology Higher Order Modes - HOM Higher Order Modes as diagnostics beam position; cavity alignment; beam phase etc. method results and status Summary and outlook GSI, Nov. 23 - Uni Frankfurt, Nov. 24, 2006 GSI, Nov. 23 - Uni Frankfurt, Nov. 24, 2006

The TESLA Cavity Cryo-module with 8 cavities

Higher Order Modes (HOM) in Accelerating Cavities Accelerating Cavity = RF EM-Resonator accelerating wave (monopole mode) at 1.3 GHz generated by a klystron and injected into the cavity other modes: Higher Order Modes (HOM) excited by the electron beam monopole, dipole, quadrupole etc. modes

Higher Order Modes (HOM) Effect of HOMs / wakefield (= Σ HOM) damaging to the beam 1 try to keep them low by damping (HOM coupler) and beam alignment wakefield Raw Waveform with Windowing Function wakefield spectrum 0.5 1.3GHz reference Volts - arb units 0-0.5-1 electron bunch -1.5 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Time - seconds x 10-5 Dipole band 1 Dipole band 2 Monopole band

Using Higher Order Modes in the Superconducting TESLA Cavities for Diagnostics at FLASH @ DESY DESY FLASH user facility - SASE-FEL test facility for ILC and XFEL The TESLA cavity superconducting technology Higher Order Modes - HOM Higher Order Modes as diagnostics beam position; cavity alignment; beam phase etc. method results and status Summary and outlook GSI, Nov. 23 - Uni Frankfurt, Nov. 24, 2006 GSI, Nov. 23 - Uni Frankfurt, Nov. 24, 2006

HOM used for Diagnostics Can use HOM signals for: beam position monitoring, similar to cavity BPMs minimizing the HOMs measuring the cavity alignment inside the cryo-modules monitoring the beam phase etc. Advantage: large proportion of linac length occupied by TESLA cavities special couplers already provide the HOM signals no need to install new beamline hardware

Beam Position Monitors (BPMs) bunch offset from beam pipe axis V 1 pick-ups V 2 V 1 > V 2 compare signals from two opposite antennas and calculate transverse beam position more than 60 BPMs currently in FLASH, mostly button and stripline type

Cavity Beam Position Monitors monopole full spectrum of EM resonances excited by beam itself monopole, dipole, quadrupole, modes pick-ups dipole

Cavity Beam Position Monitors (2) Dipole modes excited by off-axis beam proportional to beam position and angle used for monitoring polarization 1 polarization 2 each antenna/coupler is sensitive to one polarization, i.e. beam movement in the horizontal OR vertical plane Note: can achieve very good resolution

Dipole Modes in the TESLA Cavities Dipole modes excited by off-axis beams amplitude is proportional to beam position can use for beam position monitoring find beam position for which they have minimum amplitude minimum damaging effect Amplitude [dbm] 25 30 35 40 45 50 55 60 Cavity 1, HOM coupler 1 Passband 1, mode #6 Pol. 1: 1703.363 MHz Pol. 2: 1704.223 MHz 1.703 1.7035 1.704 1.7045 Frequency [GHz]

HOM as BPMs more complicated than conventional cavity BPMs the two polarizations of dipole modes are coupled cavities are not axially symmetrical more complicated calibration but already available no need for extra space or development, low costs potential for sub-μm resolution Amplitude [dbm] 25 30 35 40 45 50 55 60 Cavity 1, HOM coupler 1 Passband 1, mode #6 Pol. 1: 1703.363 MHz Pol. 2: 1704.223 MHz 1.703 1.7035 1.704 1.7045 Frequency [GHz]

HOM Measurement Setup Move beam with magnetic steerers measure amplitude of dipole mode with spectrum analyzer steerers accelerating module HOM-couplers (pick-ups)

HOM Measurement Amplitude [dbm] 25 30 35 40 45 50 55 60 Cavity 1, HOM coupler 1 Passband 1, mode #6 Pol. 1: 1703.363 MHz Pol. 2: 1704.223 MHz 1.703 1.7035 1.704 1.7045 Frequency [GHz] polarization directions 2 3 y 5 4 1 x HOM Ampl. [a.u.] HOM Ampl. [a.u.] 20 15 10 5 0 4 3 2 1 0 Cav.: 1, Passb. 1, mode #6, Pol. 1 x = 1.75 mm a y = 0.766 mm 2 1 0 1 2 3 x = 4.85 mm c y = 0.441 mm 0.4 0.6 0.8 1 y [mm] 25 20 15 10 5 0 2 1.5 1 0.5 0 Cav.: 1, Passb. 1, mode #6, Pol. 2 y = 0.797 mm b x = 4.83 mm 6 5 4 3 2 y = 0.452 mm d x = 4.85 mm 5 4.9 4.8 4.7 x [mm] Proof-of-principle for superconducting cavities can find axis of dipole mode = beam trajectory generating minimal amplitude of both polarizations can minimize wakefields can calibrate the HOM signals in beam position

HOM Electronics similar to typical BPM electronics filters one dipole mode out of cavity spectrum and converts it from ~ 1.7 GHz to ~ 20 MHz digitized also phase information is measured, needed to tell if bunch is left or right installed at both HOM couplers of all 40 FLASH cavities

HOM-BPM Calibration Setup same as for previous measurements, except electronics instead of network analyzer simultaneous measurement from all 8 cavities in a cryomodule generate many beam offsets and angles: try to generate large range of values in the (x,x ) and (y,y ) space electron bunch BPMs accelerating module 1 8 steering magnets HOM electronics

HOM-BPM Calibration Straightforward method correlate amplitudes of the mode polarizations with the beam positions interpolated from BPM readings but, complicated since: polarizations have ~ random, unknown polarizations each of the 40 cavities are different Need for more universal and robust method SVD

Singular Value Decomposition - SVD Form matrix, X, of all measurement sets in time SVD decomposes X into the product of matrices: X = U S V T U, V - unitary eigenvectors S - diagonal eigenvalues U and V: normal eigenvectors i.e. modes whose amplitude changes independently of each other. These may be linear combinations of the cavity dipole modes. Does not need a priori knowledge of resonance frequency, Q, etc. Model Independent Analysis

SVD Modes with Largest Eigenvalues λ Note: signals from both couplers are combined into one vector

Calibrating the HOM Dot product of largest eigenvectors with beam pulses: X V k = A k (A k is a vector) then correlate by linear regression each A k to beam position (x and y) as interpolated from BPM reading mode 2 horizontal; mode 1+3 - vertical 1 0.8 0.6 0.4 0.2 0 0.2 0.4 0.6 x mode y mode 2000 1500 1000 500 0 500 1000 0.8 k 1 2000 1 2 3 4 5 6 7 8 0 1000 2000 3000 4000 5000 6000 7000 8000 1500

HOM-BPM Resolution compare measurement with one cavity, to prediction from adjacent cavities 5-10 μm rms observed improvement of electronics expect 1 μm resolution or better 20 StDev = 0.005 mm 15 10 5 0 0.015 0.01 0.005 0 0.005 0.01 0.015

Measurement of Cavity Alignment Same method based on SVD Find beam trajectory for minimum dipole signal This is the centre of that dipole mode in that cavity. Measure the axis of a dipole mode for the 8 cavities within a cryo-module. Can compare the centre of a particular mode in many cavities. Gives in situ alignment data on the internals of the accelerating module.

Measurement of Cavity Alignment - Results X Y

Measurement of Beam Phase Digitise the HOM signal with a broadband scope, 5 GS/s, 2.5 GHz Can measure phase of beam induced monopole lines. HOM coupler allows a small amount of the fundamental to leak through. Accelerating RF and beam induced HOMs exist on same cable. No cable expansion issues.

Measurement of Beam Phase (2) Measurement of the 1.3 GHz phase wrt beam 5 degree phase change command from the RF control system. Noise is 0.08 degrees at 1.3 GHz Estimated by comparing the measurement from two couplers from the same cavity. When the beam phase is compared to the RF phase of two cavities on the same klystron, RMS of 0.3 degrees. not understood phase in degrees L band 3 2 1 0 1 2 3 4 0 20 40 60 80 time, seconds

Summary and Outlook FLASH and the XFEL SASE FEL based on the TESLA technology (also base for ILC) HOM as diagnostics HOM-BPMs use dipole fields excited by beam in the TESLA cavities as BPMs successful proof-of-principle resolution: 5-10 μm rms observed, potential for < 1 μm beam alignment cavity alignment in cryo-module beam phase Outlook for HOM-BPMs currently work to integrate them in the accelerator control system can be used in the XFEL, the ILC and other accelerators