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Three-dimensional particle-in-cell simulation of electron acceleration by Langmuir waves in an inhomogeneous plasma
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10.1063/1.4863494
/content/aip/journal/pop/21/1/10.1063/1.4863494
http://aip.metastore.ingenta.com/content/aip/journal/pop/21/1/10.1063/1.4863494
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Time-distance plot for for constant background density and uniform beam injection along the -direction; .

Image of FIG. 2.
FIG. 2.

() (solid) and () (dashed) at , zoomed in and arbitrary units on the -axis for clarity.

Image of FIG. 3.
FIG. 3.

Fast-Fourier transform of for constant background density and uniform beam injection. The curves represent the dispersion relation for Langmuir waves, (“horizontal” curve), and the resonance condition for the beam plasma instability, .

Image of FIG. 4.
FIG. 4.

Snapshots of the electron distribution function (solid) with respect to energy for constant background density and uniform beam injection. Dotted curves track the initial distribution at  = 0.

Image of FIG. 5.
FIG. 5.

As in Fig. 1 but for the weak gradient case.

Image of FIG. 6.
FIG. 6.

As in Fig. 3 but for the weak gradient case.

Image of FIG. 7.
FIG. 7.

As in Fig. 4 but for the weak gradient case.

Image of FIG. 8.
FIG. 8.

As in Fig. 1 but for the strong gradient case.

Image of FIG. 9.
FIG. 9.

As in Fig. 3 but for the strong gradient case.

Image of FIG. 10.
FIG. 10.

As in Fig. 4 but for the strong gradient case.

Image of FIG. 11.
FIG. 11.

Fraction of electrons with energies higher than , as calculated by use of Eq. (2) , over time for constant background density (solid), weak gradient (dotted), strong gradient (dashed).

Image of FIG. 12.
FIG. 12.

Left: Final simulation snapshots of Figs. 4 (solid), 7 (dotted), and 10 (dashed) plotted for comparison. Right: Zoomed in on high energy tail for clarity.

Image of FIG. 13.
FIG. 13.

(a) [()–(0)]/(0) for constant background (diamond), weak gradient (cross), strong gradient (asterisk). (b) Kinetic particle energy (solid) and Langmuir wave energy (dotted) for constant background. Langmuir wave energy multiplied by a factor 5 for clarity. (c) As top right but for weak gradient. (d) As top right but for strong gradient.

Image of FIG. 14.
FIG. 14.

Localized beam injection with constant background density. (a)Time-distance plot for component. (b) Time-distance plot for background electron density. (c) (k) for (solid, black), (dashed, purple), (dashed-dotted, blue), (dotted, green), (dotted with +, orange), (dotted with *, red). Y-axis in arbitrary units. (d) 2D Fourier transform of (). Note that for clarity in panel (d), the color scheme is inverse to the ones in the upper row.

Image of FIG. 15.
FIG. 15.

As Fig. 14 but for the strong gradient case.

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/content/aip/journal/pop/21/1/10.1063/1.4863494
2014-01-31
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Three-dimensional particle-in-cell simulation of electron acceleration by Langmuir waves in an inhomogeneous plasma
http://aip.metastore.ingenta.com/content/aip/journal/pop/21/1/10.1063/1.4863494
10.1063/1.4863494
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