Low-frequency flute instabilities of self-pinched ion beams

Uhm, Han S.; Davidson, Ronald C.

doi:doi:10.1063/1.2148968

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Modulation instability of laser pulse in magnetized plasma

Modulation instability of a laser pulse propagating through transversely magnetized underdense plasma is studied. It is observed that interaction of laser radiation with plasma in the presence of uniform magnetic field results in an additional perturbed transverse plasma current density along with the relativistic and ponderomotive nonlinear current densities, thus affecting the modulational interaction. In the plane wave limit it is observed that modulational interaction is more stable for mag...

Ultracold neutral plasma expansion in two dimensions

An isothermal model of ultracold neutral plasma expansion is extended to systems without spherical symmetry. It is used to interpret new fluorescence measurements on ultracold neutral calcium plasmas. For a self-similar expansion, the fluid equations are solved both analytically and numerically. The density and velocity solutions are used to predict fluorescence signals induced by a laser beam weakly focused into the plasma. Despite the simplicity of the model, predicted fluorescence signals re...

The stability properties of the low-frequency flute instabilities in a self-pinched ion beam propagating through a preformed plasma channel are investigated for long-wavelength and low-frequency perturbations. Consistent with the flute instabilities, the stability analysis is restricted to the surface perturbations on the ion beam. A closed algebraic dispersion relation of the flute instabilities for Bennett [ Phys. Rev. 45, 890 (1934) ] density profile is obtained, by making use of the energy group model. From the analytical and numerical calculations of the dispersion relation for highly collisional plasma, we find the necessary condition for instability in terms of the fractional current neutralization f. Threshold values of the fractional current neutralization for instability are tabulated for each azimuthal mode number ℓ.

Article Outline

INTRODUCTION
THEORETICAL MODEL AND BASIC ASSUMPTIONS
LINEARIZED VLASOV-MAXWELL EQUATIONS OF THE SURFACE PERTURBATIONS
DISPERSION RELATION OF THE FLUTE INSTABILITIES FOR BENNETT BEAM PROFILE
STABILITY ANALYSIS OF THE FLUTE INSTABILITIES IN THE BEAM FRAME
CONCLUSIONS

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KEYWORDS and PACS

Keywords

flute instability, pinch effect, ion beams, plasma-beam interactions, dispersion relations, plasma density, plasma transport processes

PACS

52.35.Py

Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.)
52.55.Ez

Theta pinch
52.40.Mj

Particle beam interactions in plasmas
52.25.Fi

Transport properties
52.20.Fs

Electron collisions

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http://link.aip.org/link/doi/10.1063/1.2148968

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1070-664X (print)

1089-7674 (online)

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American Institute of Physics

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