Three dimensional analysis of longitudinal plasma oscillations in a thermal relativistic electron beam: Application to an initial value problem

Journal Article · Fri Jun 15 00:00:00 EDT 2012 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4714639· OSTI ID:22072487

Marinelli, Agostino ^[1]; Hemsing, Erik ^[2]; Rosenzweig, James B ^[1]

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1. Particle Beam Physics Laboratory, Department of Physics and Astronomy, University of California Los Angeles, Los Angeles, California 90095 (United States)
2. SLAC National Accelerator Laboratory, Menlo Park, California 94025 (United States)

In this paper, we study the initial value problem of longitudinal plasma oscillations in a relativistic electron beam. Our analysis is based on the formalism developed in Marinelli et al.[Phys. Plasmas 18, 103105 (2011)]. We study the evolution of an arbitrary six-dimensional phase-space perturbation under the effect of longitudinal space-charge forces, with the inclusion of three-dimensional effects due to the finite size of the beam, transverse betatron motion, and longitudinal thermal motion induced by both energy-spread and transverse emittance. We expand the phase-space perturbation in a series of eigenmodes of a Schroedinger-like equation, corresponding to a set of propagating space-charge waves. We develop a general formalism, which we use to find explicit expressions for the evolution of an initial perturbation coupled to the fundamental plasma eigenmode. This work has important applications in the theory of space-charge instabilities in high brightness electron beams and control of shot-noise in seeded free-electron lasers. We discuss the application of the present theory to a specific experimental scenario corresponding to a shot-noise suppression scheme at optical wavelengths.

• OSTI ID: 22072487
• Journal Information: Physics of Plasmas, Vol. 19, Issue 6; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BEAM EMITTANCE
BETATRONS
DISTURBANCES
ELECTRON BEAMS
FREE ELECTRON LASERS
MATHEMATICAL EVOLUTION
PHASE SPACE
PLASMA WAVES
RELATIVISTIC RANGE
SCHROEDINGER EQUATION
SPACE CHARGE
THREE-DIMENSIONAL CALCULATIONS
WAVELENGTHS