Intense beam transport experiments in a multi-bend system at the University of Maryland Electron Ring

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Abstract

We report on the results of beam transport experiments at the University of Maryland Electron Ring (UMER) over a distance of approximately 4m. The experiments involve a 10keV, 25–100mA, 100ns electron beam in a lattice consisting of one short solenoid, 24 printed-circuit magnetic quadrupole lenses, and a number of bending and steering dipole magnets. The diagnostics include capacitive beam-position monitors, phosphor screens, slit-wire emittance meters and others. We discuss the conditions required for matching the space-charge-dominated beam into the UMER lattice, as well as emittance measurements and initial studies of longitudinal dynamics in the ring.

Introduction

The University of Maryland Electron Ring (UMER) is designed for scaled experiments employing low energy (up to 10keV), high current (up to 100mA) electron beams [1], [2]. With a strong-focusing (FODO) lattice consisting of 36 periods over a 11.52m circumference (see Table 1), UMER can operate in a regime of unprecedented high beam intensity. Beam transport in this regime is dominated by space charge and is characterized by very low tune depression, i.e., the ratio of phase advances per lattice period of the betatron oscillations with and without space charge [3]. As an example, the nominal 100mA at 10keV in UMER models the beam physics of a kA beam of heavy ions at GeV energies in a future heavy-ion fusion driver. Construction of a machine with a layout similar to UMERs was undertaken a few years ago at Lawrence Livermore National Laboratory. In the Livermore ring, a 80keV (initial energy) potassium-ion beam was successfully transported and accelerated over one-quarter turn [4]. While an electron ring can address beam physics issues in a low-cost way, the LLNL ring did also address issues peculiar to ions. At the time of writing, UMER is also approaching completion of a one-quarter turn. Figs. 1a and b show the current experiment layout.

In the next section, we briefly describe the UMER electron gun. The main results from matching experiments in a straight section about 1m long are summarized in Section 3. In Section 4, the first results of bend experiments over eight FODO periods, or 2.5m, approximately, are presented. The last section is devoted to conclusions.

Section snippets

Electron source and beam parameters

The electron source is a Pierce-type gridded gun with variable perveance, similar to the gun described in Ref. [5]. The gun is cathode-driven, i.e., the cathode is pulsed to overcome the DC voltage applied to a control grid placed 0.15mm in front of it. The gun operates in the 3–10kV, 1–100mA ranges with current pulses around 100ns. The output current at a given energy can be varied by one of three methods or combinations thereof: by changing the anode–cathode gap (over a 20mm range), by

Matching experiments and scaling

Preliminary design calculations for any periodic focusing lattice can be based on the smooth approximation of the lattice [3]. In this approximation, the differential equations for the effective (2rms) envelope radii X(z) and Y(z) in the two transverse planes reduce to the algebraic equation for the “average” beam radius R of the matched beamk02R−KRε2R3=0.Here, k0=2π/λ0 is the wave number, λ0 is the wavelength of the transverse betatron oscillations without space charge. It can be written in

Bend experiments

Following the straight section, a pipe with a 10° bend part was added. The new section (see Fig. 1b) accommodates three additional magnetic quadru-poles before the (DC) injection bend dipole, and one quadrupole after the bend which constitutes the first ring quadrupole (QR1). The four 20° bend sections contain four quadrupoles and two bend dipoles each. All magnets, except for the short solenoid before Q1, are made of flexible printed-circuits (PC) and have been extensively characterized [11].

Conclusions

Current experiments at the University of Maryland Electron Ring (UMER) use a matching/injection section and eight FODO full periods for a total length of nearly four meters from the output of the electron gun. Experiments with different currents in the straight section following the electron gun show that the average beam size is approximately proportional to the inverse of the tune depression, in agreement with predictions from the smooth approximation of the lattice. Further, transport

Acknowledgements

We thank D. Feldman for the picture of the UMER experiment, and D. Brosius for invaluable help with LateX.

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