Journal of Research on Many-body Systems

Journal of Research on Many-body Systems

Coupling and Energy Transfer between Longitudinal and Radial Fields in a Parabolic Plasma Wakefield Accelerator Driven by a Proton Beam

Document Type : Full length research Paper

Authors
Yasaman Golian 1, 2
Saleheh Beheshtipour 1, 2
1 Department of Physics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2 Institute of Biosocial and Quantum Science and Technologies, CT.C, Islamic Azad University, Tehran, Iran
10.22055/jrmbs.2026.20761
Abstract
This study presents a theoretical model for accelerating charged particle beams in a plasma channel with a parabolic density profile. A Gaussian proton beam is used to excite longitudinal and radial wakefields, described by Whittaker functions. The radial wakefield exhibits anomalous behavior, with its amplitude increasing as a function of the distance from the beam axis. This phenomenon is attributed to a gradual energy transfer from on-axis longitudinal oscillations to radial oscillations near the channel wall. Two-dimensional simulations performed with the L-CODE show excellent agreement with the analytical results. Furthermore, a comparison of the wakefields at temperatures of 0 eV and 1 eV reveals a reduction in amplitude with increasing temperature, which is caused by enhanced ion mobility and intensified Landau damping—a wave-particle interaction mechanism occurring in collisionless plasmas.
Keywords
Gaussian Profile
Whittaker Function
Parabolic Plasma Channel
Wakefields
L-CODE
Subjects
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Journal of Research on Many-body Systems
Volume 15, Issue 2 - Serial Number 45
Summer 2025
Summer 2025
Pages 39-47