retarding field analyzers and time resolving detectors and microwave resonance detectors to measure cloud growth and mitigation. We measure the effect of beam processing on secondary emission yield of vacuum chamber materials. The induced tune shift provides information about electron cloud density averaged around the entire storage. We have developed specialized instrumentation and experimental techniques and computer simulations to measure interaction of the cloud with the beam.
An RFA consists of three main components: small holes drilled in the beam pipe to allow electrons to enter the device; a ``retarding grid," to which a voltage can be applied, rejecting electrons with less than a certain energy; and a positively biased collector, to capture any electrons which make it past the grid. In addition, the collectors of most RFAs used at CesrTA are segmented transversely to allow characterization of the spatial structure of the cloud build-up. Thus a single RFA measurement provides information on the local cloud density, energy, and transverse distribution. We have used RFAs to probe the local behavior of the cloud at multiple locations in CESR, in various magnetic field environments, and under many different beam conditions. Detailed comparisons of these measurements with computer simulations have yielded a realistic and self-consistent description of cloud generation and dynamics in various accelerator environments. RFA measurements have also been used to directly compare different cloud mitigation techniques, and evaluate their effectiveness for future accelerators (such as the ILC). The figure below shows a typical RFA measurement, showing collector signal as a function of collector number (i.e. transverse position), and retarding voltage (i.e. electron energy). button electrodes placed behind an array of holes in the vacuum chamber which shield them from the direct beam signal provide sub-nanosecond time resolution for recording signals produced by cloud electrons passing through the holes. Measurements on shielded-button-equipped vacuum chambers with interior cloud-buildup-mitigating coatings such as titanium-nitride, amorphous carbon and diamond-like carbon provide quantitative information on the degree of success in reducing the cloud. 2012 NSF REU participant Emily Hemingway exhibits the custom vacuum chamber outfitted with shielded button detectors which was the object of her summer research. The white coils provide the option to impose an external longitudinal magnetic field as an additional means of cloud buildup reduction. By using one positron bunch to create the cloud and injecting a second positron "witness" bunch at some distance behind the first, one obtains accurate estimates of the growth and then decay of the cloud as the electrons are released and re-absorbed into the vacuum chamber wall. Superpositions of such two-bunch signals (with variable distance witness delay of from 14 ns to 84 ns) show the the evolution of the electron cloud in a titanium-nitride coated chamber. The dotted lines show the measured shielded button signals recorded by an oscilloscope. The points with statistical error bars are from simulation. The model best matches the measurement when the secondary emission yield for low-energy electrons is set to 20%. first measurements of long-term electron cloud trapping in a positron storage ring were made using specially designed shielded stripline detectors small enough to fit inside a quadrupole magnet. Cloud electrons passing through the array of holes in the vacuum chamber are collected on copper traces etched on kapton sheets. The transmission properties of the stripline limit the time resolution to about 12 ns. Nonetheless, cloud buildup along trains of 14-ns-spaced trains of positron bunches is measured with high precision. Proof of cloud trapping was obtained in an elegantly simple way: the signals obtained from 20-bunch trains were observed to be much larger than those from 10-bunch trains. How do the ten leading bunches in the 20-bunch train "know" that they are in a 20-bunch train? The only reason can be that cloud has remained trapped in the quadrupole magnetic field ("magnetic bottle" effect) since the previous passage of the train two microseconds earlier. Comparison of the figures a) and b) shows that cloud trapping increases with the bunch population. measurements of such betatron tune shifts are described below. The first quantitative estimates of the mitigating effect of the groove pattern in an aluminum beampipe were obtained with TR-RFAs in 2013. Even without an external magnetic field, the grooves were shown to reduce the cloud density by about a factor of two. The figure on the right shows that models precisely reproduce the measurements when the assumed peak secondary emission yield is decreased from 2.0 to 1.2. measurements, theory). When microwaves are introduced within the volume of the beam-pipe, there will often be several frequencies where the beam-pipe has a resonant response. These resonances can be produced by relatively small changes in the shape of the beam-pipe along its length. The exact frequency of a resonance can also be affected by small changes in the beam-pipe shape. For example, it is possible to make a measurable change in a resonant frequency by squeezing the beam-pipe between your hands. The resonant frequency will also be changed by the presence of electron cloud. This effect is not large. At electron cloud densities that are large enough to be important to accelerator beams, the change in resonant frequency is only about 0.001%. Techniques have been developed to turn this small effect into reliable a measurement tool. This includes significant work by several students who were part of the Research Experience for Undergraduates (REU) program.
Top: Schematic of an RFA. Bottom: Blowup of an RFA mounted on a dipole magnet chamber showing the collectors (1), retarding grids (2), and beam pipe holes (3).
Two important surface phenomena for the development of electron clouds in accelerator vacuum chambers are
Samples for in-situ SEY measurements. Clockwise from top left: aluminum, stainless steel, copper, copper with amorphous carbon coating (coated by CERN), aluminum with diamond-like carbon coating (coated by KEK), aluminum with titanium nitride coating (from SLAC).
- electron photo-emission: synchrotron light from the stored beam hits the walls of the vacuum chamber and releases electrons
- electron secondary emission: electrons from the cloud hit the walls of the chamber and release more electrons
The high energy positron beam is focused as it passes through the low energy cloud of electrons. That focusing is manifested as a shift of the betatron tune of the positrons. The tune shift is proportional to the density of the cloud. The principal experimental method to measure the cloud density is the bunch-by-bunch tune measurements using one or more gated beam position monitors, or turn by turn and bunch by bunch position measurements when either individual bunches or an entire train of bunches is coherently excited. These experiments have been done over a wide range of beam energies, emittances, bunch currents, and fill patterns, to gather sufficient information to be able to fully qualify tuneshift as a measure of the ring-wide electron cloud density experienced by each bunch in the train.
Measured horizontal and vertical tune shift of each bunch in a train of 22 bunches of positrons (black symbols), and simulated tune shifts (red symbols). The bunches are 14ns apart. Measurements beyond 22 are with a witness bunch.
Surface plot of the logarithmic spectral amplitudes of the observed beam position monitor signal vs. bunch number within a 30 bunch-long train of positron bunches with 1.9 nC/bunch. Note that the coherent horizontal and vertical frequencies (Fh and Fv, respectively) of the dipole modes of oscillation are labeled for bunch 30. Also note the coherent head-tail mode frequencies are labeled for bunch 30 as Fv-Fs and Fv+Fs. Observe that the coherent dipole mode amplitudes are visible for the first bunches in the train and they grow in amplitude as the bunch number increases. At the same time the coherent head-tail modes are not visible for the first bunches, but their amplitudes become visible and then grow as one goes from the first bunches in the train to the last. This growth of motion along the train indicates that later bunches are becoming less stable than earlier bunches.
Average initial electron cloud density vs. bunch number, comparison between estimate from measured tune shifts along the train, caused by the presence of the electron cloud (red), and simulation (black) from the program, POSINST.
CMAD code was developed to simulate the interaction of positron bunch and electron cloud. For the simulation, the positron bunch is sliced as shown in the figure. The slices of positrons near the head of the bunch focus the electrons. Positrons in the trailing slices experience the full force of the concentrated electrons.
Bunch-by-bunch beam size and RMS vertical motion for a 30 bunch long train with a 14 ns spacing between bunches with a charge of 1.9 nC/bunch.