... George Gollin. University of Illinois at Urbana-Champaign and Fermi National Accelerator Laboratory

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George Gollin, Damping ring kicker, December 15, 2004 1 I hysics Fourier Series ulse Compression Damping Ring Kicker: a rogress Report George Gollin University of at Urbana-Champaign and Fermi National Accelerator Laboratory

George Gollin, Damping ring kicker, December 15, 2004 2 I hysics The specs Dog bone (TESLA TDR) kicker specs: impulse: 100 G-m (3 MeV/c) ± 007 G-m (2 kev/c) residual (off) impulse: 0 ± 007 G-m (2 kev/c) rise/fall time: < 20 ns erhaps larger (but less precise) impulse at injection, smaller (but more precise) impulse at extraction will be desirable Small ring kicker rise, fall times can be asymmetric: leading edge < 6 ns, trailing edge < 60 ns

3 I hysics Fourier series pulse compression kicker Instead of a pulsed kicker, construct a kicking pulse from a sum of its Fourier components Combine this with a pulse compression system to drive a small number of low-q cavities, Fermilab, Cornell are involved

Cornell Gerry Dugan Joe Rogers This project is part of the US university-based Linear Collider R&D effort (LCRD/UCLC) articipants Fermilab Tug Arkan Euvgene Borissov Harry Carter Brian Chase David Finley Chris Jensen Timergali Khabiboulline George Krafczyk Shekhar Mishra François Ostiguy Ralph asquinelli hillipe iot John Reid Vladimir Shiltsev Nikolay Solyak Ding Sun Univ Guy Bresler Joe Calvey Michael Davidsaver Keri Dixon George Gollin Mike Haney Tom Junk Jeremy Williams I hysics 4

George Gollin, Damping ring kicker, December 15, 2004 5 I hysics Fermilab/ activities Initial studies: use Fermilab A0 photoinjector beam (16 MeV e - ) for studies: 1 concept and design studies of FSC kicker 2 build a fast, simple strip line kicker 3 use the stripline kicker to study the timing/stability properties of the A0 beam 4 build a single-module pulse compression kicker 5 study its behavior at A0 6 perform more detailed studies in a higher energy, low emittance beam (ATF??)

6 I hysics Right now: simulations and RF engineering discussions

George Gollin, Damping ring kicker, December 15, 2004 7 I hysics llinois and writing it up so it is clearly described

George Gollin, Damping ring kicker, December 15, 2004 8 I hysics and building a stripline kicker Start with a simple kicker whose properties are calculable and can be measured independently of its effects on the A0 electron beam Most important: how well can we measure a device s amplitude and timing stability with the A0 beam? BM BM BM BM beam pipe beam pipe stainless steel pipe flanges conducting rods Fermilab is currently building this robably ready by February 2005

George Gollin, Damping ring kicker, December 15, 2004 9 I hysics Test it in the FNAL A0 photoinjector beam 16 MeV electron beam, good spot size, emittance EOI submitted to A0 group last spring Space in beamline will be available ~January 2005

George Gollin, Damping ring kicker, December 15, 2004 10 I hysics erformance modeling studies Functional units in the system, downstream to upstream: RF cavity, Q = 25 Waveguide RF amplifier Arbitrary function generator Modeling strategy is to study the consequences of: drifts in parameter values (eg Q of RF cavity) noise in RF power amplifier output signal nonlinearities: harmonic and intermodulation distortion

George Gollin, Damping ring kicker, December 15, 2004 11 I hysics arameters in our studies arameter Symbol Value Main linac bunch frequency f L (ω L 2π f L ) 3 MHz Damping ring bunch frequency f DR (ω DR 2π f DR ) 180 MHz RF structure center frequency f RF (ω RF 2π f RF ) 1845 MHz RF structure Q Q 25 Waveguide cutoff frequency f cutoff 1300 MHz Desired on field integral A(0) (100 ± 07) Gauss-meters Desired off field integral A(t) (0 ± 07) Gauss-meters f DR /f L N 60 f RF /f DR Γ 1025 f RF /f L ΓN 615 Bunch length δ B or τ B ±6 mm ~ ±20 ps Karma Impeccable Nothing has been optimized yet!

12 I hysics RF cavity Q = 25 center frequency 1845 MHz

George Gollin, Damping ring kicker, December 15, 2004 13 I hysics RF cavity Q error Kick error caused by deviations in Q for the center, head, and tail of the kicked and first two unkicked bunches Full vertical scale corresponds to 007 Gauss-meters (21 kev/c)

George Gollin, Damping ring kicker, December 15, 2004 14 I hysics RF cavity center-frequency error Kick error as a function of cavity center frequency error for kicked, first unkicked, and second unkicked bunches

15 I hysics Waveguide: 80 meters long for the time being 80 meters long 1300 MHz cutoff

16 I hysics Waveguide compresses pulse ulse compression! Maximum amplitudes: entering ~0016 exiting ~01

George Gollin, Damping ring kicker, December 15, 2004 17 I hysics Waveguide length error Two contributions to problems: 1 change in flight time down the waveguide 2 relative phases of Fourier components are misaligned #1 dominates Differences between delivered kicks and an ideal impulse for waveguides that are 5 mm, 10 mm, 15 mm, 20 mm, and 25 mm too long The peaks in the kicks have been shifted in time to align with the peak in the ideal impulse that is centered at t = 0 In addition, the delivered kicks have been rescaled to have the same magnitude as the ideal impulse

George Gollin, Damping ring kicker, December 15, 2004 18 I hysics Waveguide cutoff frequency error Correcting for time misalignment and change in overall pulse size helps considerably Effects of cutoff frequency errors The curves represent the difference between delivered and ideal impulses as functions of time after aligning the time of the peaks and rescaling the peak amplitudes Full scale in the plot is ±100 ps Nominal f cutoff is 13 GHz Errors in cutoff frequency for individual curves are indicated on the plot

George Gollin, Damping ring kicker, December 15, 2004 19 I hysics Amplifier gain error For now, look at a linearly increasing error as a function of frequency Effects of an amplifier gain error that grows linearly with frequency The curves represent the difference between delivered and ideal impulses as functions of time The time region in the plot is centered on the arrival time of the kicked bunch

George Gollin, Damping ring kicker, December 15, 2004 20 I hysics Amplifier phase error Use a linearly increasing error as a function of frequency here too Effects of an amplifier phase error that grows linearly with frequency The curves represent the difference between delivered and ideal impulses as functions of time The time region in the plot is centered on the arrival time of the kicked bunch Full (horizontal) scale is ±100 ps The impulse functions have been shifted in time to align the kicking peaks at t = 0 and rescaled to agree in amplitude with the nominal kick

George Gollin, Damping ring kicker, December 15, 2004 21 I hysics Amplifier noise Model as flat in frequency, from 300 MHz to 6 GHz for now Cavity is insensitive to frequencies far from center frequency 10-4 GHz -1/2

George Gollin, Damping ring kicker, December 15, 2004 22 I hysics amplifier noise Generate in 300 khz frequency bins, random phases More work is needed

George Gollin, Damping ring kicker, December 15, 2004 23 I hysics Next on the list: Continue with noise study, then begin on harmonic and intermodulation distortion f f f f

George Gollin, Damping ring kicker, December 15, 2004 24 I hysics UIUC/FNAL, longer term plans Design, then build one module using existing components Fermilab RF group is involved UIUC HE electronics design group s chief is too So we re making progress Goals: install strip line kicker in A0 by February, 2005 understand A0 by spring, 2005 investigate small pulse compression system by summer, 2005