Longitudinal Measurements at the SLAC Gun Test Facility*

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SLAC-PUB-9541 September Longitudinal Measurements at the SLAC Gun Test Facility* D. H. Dowell, P. R. Bolton, J.E. Clendenin, P. Emma, S.M. Gierman, C.G. Limborg, B.F. Murphy, J.F. Schmerge Stanford Linear Accelerator Center, Stanford University, Stanford, CA 9439 T. Shaftan Brookhaven National Laboratory, Upton, NY Abstract The Gun Test Facility (GTF) was built to test high-brightness sources for the proposed Linac Coherent Light Source (LCLS) at SLAC. The longitudinal emittance exiting the gun has been determined by measuring the energy spectrum after the linac as a function of the linac phase. The phase-space parameters defining the beam pulse width, correlated energy spread, and slice energy spread at the linac entrance (~5 MeV beam energy) are fit to the measured energy spectra. A large, linear energy-time correlation is observed for bunch charges from 15 to 3 pc. Possible explanations for this correlated energy spread are discussed. Submitted to 4 th International Free Electron Laser Conference, Argonne National Laboratory, Argonne, IL, September 9-13, *Work supported by Department of Energy contract DE-AC3-76SF515

Longitudinal Emittance Measurements at the SLAC Gun Test Facility D.H. Dowell *, P.R. Bolton *, J.E. Clendenin *, S.M. Gierman *, C.G. Limborg *, B.F. Murphy *, J.F. Schmerge *, T. Shaftan + * Stanford Linear Accelerator Center + Brookhaven National Laboratory Abstract The Gun Test Facility (GTF) was built to test high-brightness sources for the proposed Linac Coherent Light Source (LCLS) at SLAC. The longitudinal emittance exiting the gun has been determined by measuring the energy spectrum after the linac as a function of the linac phase. The phase-space parameters defining the beam pulse width, correlated energy spread, and slice energy spread at the linac entrance (~5 MeV beam energy) are fit to the measured energy spectra. A large, linear energy-time correlation is observed for bunch charges from 15 to 3 pc. Possible explanations for this correlated energy spread are discussed. PACS codes: 9.5.Bx,9.7.Ac,41.6.Cr,41.85.Ar Keywords: Photoinjectors;Longitudinal Emittance;Free Electron Lasers 1. Introduction Free electron lasers require low longitudinal emittance beams to achieve high peak current when the bunch is compressed in a bunching chicane. The use of a magnetic bunch compressor requires a good understanding of the longitudinal phase space from the RF gun. While the transverse emittance from RF guns is studied extensively, the longitudinal emittance is still poorly known. This paper begins with a review of the experimental technique, followed by a description of the data analysis method. The final sections summarize the longitudinal emittance results and the parameters for bunch charges from 15 to 3 pc. gun of the BNL/SLAC/UCLA design followed by a 3-meter SLAC section [1]. The drive laser is a Nd:Glass CPA laser with a regenerative amplifier which provides ps (fwhm) gaussian UV pulses to the cathode with an approximately uniform, mm diameter transverse profile. The major beam line components are shown in Figure 1. Gun & Solenoid Quad1 Linac LTD1 Phosphor Figure 1. The GTF beamline. Quad OTR 1 micron thick Yag YAG1 Energy Spectrometer YAG Spectrometer Screen. Description of the Experiment and Data The experiment was performed at the SLAC Gun Test Facility (GTF) consisting of a 1.6 cell s-band This experiment uses the phase scan technique to determine the longitudinal emittance, in which the linac RF phase is varied and the beam energy spectrum is measured on the spectrometer screen.

Analysis gives the longitudinal parameters at the entrance to the linac. These are not the same as those at the gun exit, because of continued evolution of the bunch as it drifts from the gun to the linac. 3. The Longitudinal Phase Space The data analysis assumes a longitudinal beam ellipse defined by, τ11 τ1 τ = ; τ11 = σt ; τ = σ (1) E τ1 τ where the τ-matrix elements, τ 11 and τ, are the rms pulse length squared and the rms energy spread squared, respectively. The transformation of the beam matrix through the linac is given by, T τ ( 1) = R linacτ() R linac () τ() and τ(1) are the beam matrices at the linac entrance and exit, respectively. Assuming the linac gives a simple V linac cos(φ ) energy boost to the bunch, the linac R-matrix is, 1 R = (3) linac Vlinac sin( φ) 1 where φ is the phase of the reference electron at the bunch center. Multiplying the matrices in Eqn. gives the rms energy spread, σ E = τ( ) τ1()vlinac sin( φ) + τ11()(vlinac sin( φ)) (4) The experimental rms energy spread for a range of linac phases, φ, are fit with this function to obtain the three τ() matrix elements. The normalized longitudinal emittance is defined as, ε = γ τ τ τ (5) long and expressed in units of microns. Estimates of the phase slippage give 7 to 9 degrees, which simply shift the V linac cos(φ) RF waveform by this amount in phase. This is confirmed by a Parmela calculation. This shift has little effect on these results, since maximum energy gain is used to define zero RF phase. 11 1 4. The Experimental Results Measurements of the energy spectrum for several linac phases were performed for bunch charges from 15 to 3 pc. The rms energy widths are then fit using Eqn. 4 to obtain the τ() matrix, giving the longitudinal emittance, bunch length, uncorrelated energy spread and correlated energy spread at the linac entrance. Because of their relevance to a companion contribution to these proceedings [], the 15 and 3 pc data are shown in some detail. A summary of the parameters at all charges is then given. 4.1 15 pc and 3 pc Measurements The data along with the fits are shown in Figure for 15 pc and 3 pc. In general, the data fitting uses data in the region approximately degrees wide, centered at the minimum energy spread phase. This is done because the energy spectra become more complex at the large phases due to the non-linear nature of the longitudinal phase space. This is a linear analysis, since it represents a simple ellipse enclosing a complex energy-time distribution, and as such will over estimate the longitudinal parameters. Previous work [3] has shown the need to include higher order terms, especially a 3 rd order term to properly represent the phase space distribution. The non-linear analysis of this data is in progress. In addition, a secondary electron bunch trailing approximately 1.5 ps behind the primary bunch was observed during the experiment. This second bunch contained 5 to 1% of the total bunch charge, and attempts to remove it were unsuccessful. Its source is being investigated.

RMS Energy Spread (kev) RMS Energy Spread (kev) 9 8 7 6 5 4 3 1 15 pc -4-3 - -1 1 3 5 15 1 5 Linac Phase (degrees) 3 pc -3-5 - -15-1 -5 5 1 Linac Phase (degrees) Figure. Top: The rms energy spread vs. linac phase for 15 pc bunch charge. Bottom: Data and fit for 3 pc. The lines are best fits for the beam matrix elements in Eqn. 5 to data in the region of minimum energy spread. The 15 pc data in Figure indicate the energy measurements are near the resolution limit of the spectrometer. This can be seen by the flattening of the minimum energy spread data at 5 kev (rms). This is consistent with the estimated resolution. The data was taken after careful optimisation of the electron optics to achieve the best resolution. 4. Correlated Energy Spread and Gun Balance Both the 15 and 3 pc data clearly show the linac phase for minimum energy spread is at 9 and 15 degrees relative to the crest. Similar phases are observed for all bunch charges and correspond to a much larger correlated energy spread than given by the Parmela simulation. This can be seen most graphically by the longitudinal ellipses for 15, 1 and 3 pc shown in Figure 3. Energy (kev) 1-1 15 pc 3 pc 1 pc - - -1 1 Time(ps) Figure 3. Relative orientation of the longitudinal phase space ellipses for 15,1 and 3 pc bunch charges. Space charge does not appear to be responsible for this correlation since it occurs at both low and high bunch charge. Another possibility is that the RF fields in the.6 and full cells of the gun are not equal [4]. The.6 cell field needs to be approximately % lower than the full cell field to account for this correlation. To investigate this effect, the gun is now removed from the experiment and its field distribution will be mapped using the bead drop technique. In addition, an RF probe will be installed in the.6λ cell to allow measurements of the field balance during gun operation. 5. Summary of Results and Conclusions The dependence of the longitudinal emittance, bunch length and uncorrelated energy spread upon bunch charge are shown in Figures 4, 5 and 6. The emittance and bunch length are seen to grow linearly with charge. This strong growth is driven by the short, ps (fwhm) laser pulse used in these experiments. At pc for example, the ps laser pulse produces 1 amperes peak current at the cathode and a peak surface current density of over 3 amperes per cm. The strong longitudinal space charge force overwhelms the RF compression seen at low charge, as shown in Figure 5.

Longitudinal Emittance (microns) 1 8 6 4 5 1 15 5 3 understand the origin of these effects. RMS Energy Spread (kev) 15 1 5 5 1 15 5 3 Figure 4. The normalized rms longitudinal emittance vs bunch charge. Figure 6. The bunch rms energy spread vs. charge. RMS Bunch Length (ps) 1.5 1.5 5 1 15 5 3 Figure 5. The rms length vs. charge. The bunch shows compression below and elongation above 1 pc. The laser phase is 3 degrees relative to the zero crossing of the RF field. The laser pulse length is.85 ps (rms). 6. Conclusions An observed large correlated energy spread indicates a possible unbalance of the RF fields between the.6λ and 1.λ gun cells. This is being investigated with RF measurements. In addition, the longitudinal parameters are dominated by effects related to the short ps laser pulse, and to a smaller, second bunch trailing the main bunch by approximately 1.5ps. Efforts are in progress to 7. Acknowledgements SLAC is operated by Stanford University for the Department of Energy under contract number DE- AC3-76SF515. 8. References [1] J.F. Schmerge et al, Transverse-emittance measurements on an S-band photocathode RF electron gun, NIM A483 () 31-34. [] D.H. Dowell et al., Slice Emittance Measurements at the SLAC Gun Test Facility, contribution to these proceedings. [3] D.H. Dowell et al., The dependence of longitudinal emittance upon surface charge density in a RF photoinjector, IEEE Proceedings of 1997 Particle Accelerator Conference, pages 684-686. [4] D.T. Palmer, Microwave measurements of the BNL/SLAC/UCLA 1.6 cell photocathode RF gun, IEEE Proceedings of 1995 Particle Accelerator Conference, pages 98-984.