Landau Damping of Beam Instabilities by Electron Lenses

Abstract

Modern and future particle accelerators employ increasingly higher intensity and brighter beams of charged particles and become operationally limited by coherent beam instabilities. Usual methods to control the instabilities, such as octupole magnets, beam feedback dampers and use of chromatic effects, become less effective and insufficient. We show that, in contrast, Lorentz forces of a low-energy, a magnetically stabilized electron beam, or "electron lens", easily introduces transverse nonlinear focusing sufficient for Landau damping of transverse beam instabilities in accelerators. It is also important that, unlike other nonlinear elements, the electron lens provides the frequency spread mainly at the beam core, thus allowing much higher frequency spread without lifetime degradation. For the parameters of the Future Circular Collider, a single conventional electron lens a few meters long would provide stabilization superior to tens of thousands of superconducting octupole magnets.

17 pages, 4 Figures

References in corpus (4)

• Head-Tail Modes for Strong Space Charge
• Tevatron Electron Lenses: Design and Operation
• Detecting chaos in particle accelerators through the frequency map analysis method
• Experimental Studies of Compensation of Beam-Beam Effects with Tevatron Electron Lenses

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• Mitigation of Space-Charge-Driven Resonance and Instability in High-Intensity Linear Accelerators via Beam Spinning
• Geometry of Almost-Conserved Quantities in Symplectic Maps. Part II: Recovery of approximate invariant
• Geometry of Almost-Conserved Quantities in Symplectic Maps. Part I: Perturbation Theory
• Landau damping of transverse head-tail instabilities with a pulsed electron lens in hadron synchrotrons
• Geometry of Almost-Conserved Quantities in Symplectic Maps. Part III: Approximate Invariants in Nonlinear Accelerator Systems
• Proton Dynamics Scenarios in the Integrable Optics Test Accelerator (IOTA) at Fermilab