1,721,008 research outputs found
Thermal wave model for nonlinear longitudinal dynamics of a relativistic charged particle bunch in cold plasmas
No full textWe study the longitudinal dynamics of a relativistic charged particle bunch through a cold, unmagnetized plasma, within the framework of the recently proposed thermal wave model for relativistic charged particle beam propanation.
We show that, under the action of both a purely electrostatic
plasma wave potential well and the plasma wake potential (self-interaction), the longitudinal bunch dynamics is governed by a nonlinear Schrodinger equation for a complex wave function whose squared modulus is proportional to the longitudinal bunch density. This wave model, for which the diffraction parameter is represented here by the longitudinal emittance, allows us to study synchrotron-like oscillations in the plasma wave potential
well as well as to obtain a longitudinal envelope equation which
includes the self-interaction. Furthermore, we show that a soliton solution for the bunch density is possible and it results to be the natural asymptotic evolution of a modulational instability occurring when the bunch propagates in the plasma under the action of the self-force only
Passive compensation of longitudinal space charge effects in circular accelerators: the helical insert
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The Plasma Undulator
No full textOn the basis of the theory of magnetic undulator for free electron laser (FEL) we analyze the use of a large amplitude plasma wave as an electrostatic undulator. We review the original idea of the plasma undulator and consider some particular plasma undulator configurations. By using low energy electron beams we show the possibility to generate very small wavelength electromagnetic radiation. The fluid theory for the FEL with a plasma undulator, in complete analogy with the ordinary ones, is presented and the thresholds for the FEL action are discussed. An analysis for the intrinsic efficiency, with respect to the emittance and the plasma wake field effects, is presented and applied to some new configurations
Solution of the dispersion relation for longitudinal stability of an intense coasting beam in a circular acceleratorfor longitudinal stability of an intense coasting beam in a circularaccelerator
No full textSolution of the dispersion relation for longitudinal stability of an intense coasting beam in a circular acceleratorfor longitudinal stability of an intense coasting beam in a circularaccelerator
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