Calculation of the noninertial space-charge force and the coherent synchrotron radiation force for short electron bunches in circular motion using the retarded Green{close_quote}s function technique

Journal Article · Mon Jul 01 04:00:00 EDT 1996 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.54.838· OSTI ID:285919

Carlsten, B E ^[1]

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1. Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

The space-charge forces for short electron bunches in circular motion can be very different from the space-charge forces for short electron bunches undergoing straight-line motion. The two major effects introduced by the circular motion are an off-axis, so-called {open_quote}{open_quote}noninertial space-charge{close_quote}{close_quote} effect, in which there is essentially no net energy loss of the bunch, and a coherent synchrotron radiation effect, in which the bunch radiates coherent energy. The consequence of these effects is a potentially large growth in the electron bunch{close_quote}s transverse emittance. We derive an expression for these forces from a Green{close_quote}s function approach, starting with the definitions of the retarded scalar and vector potentials. In particular, we find an expression for the total electric field along the direction of motion from a short line of charge in circular motion. These expressions in turn can be used in numerical particle simulations to estimate the amount of emittance growth, including the effects of suppressing the coherent synchrotron radiation by reducing the beam pipe dimensions. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 285919
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 1 Vol. 54; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
BEAM BUNCHING
DESIGN
ELECTRONS
RADIATION PRESSURE
ROTATION
SYNCHROTRON RADIATION