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Classification and stability of plasma motion in periodic linearly polarized relativistic waves
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10.1063/1.3449591
/content/aip/journal/pop/17/7/10.1063/1.3449591
http://aip.metastore.ingenta.com/content/aip/journal/pop/17/7/10.1063/1.3449591
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Poincaré surface plot of vs (for ), for and . Labeled are the fixed points which correspond to the periodic wave motions: a: figure eight, b: deformed figure eight, and c: circular. The points d and e correspond to periodic higher-order amplitude modulated solutions. The island chains for the solutions d and e are marked by red diamond and blue square shaped markers in the vs plot, respectively. A purely longitudinal solution is represented by the point f (additionally marked by a purple circle in the vs plot). For these periodic solutions the oscillators and and the wave-motion trajectories in the average drift frame are shown in Figs. 2 and 3.

Image of FIG. 2.
FIG. 2.

Oscillators (solid line) and (dashed line) and the corresponding wave-motion trajectory (lower row) in the average drift frame for basic periodic solutions at with . From left to right: (a) circular solution, (b) deformed figure eight, and (c) figure eight.

Image of FIG. 3.
FIG. 3.

Oscillators (solid line) and (dashed line) and the corresponding wave-motion trajectory (lower row) in the average drift frame for higher-order periodic solutions at with . From left to right: higher order solution d, higher order solution e, purely longitudinal solution f.

Image of FIG. 4.
FIG. 4.

Poincaré surface plots for at , , , and , respectively. Top row: plots for vs . Bottom row: plots for vs .

Image of FIG. 5.
FIG. 5.

Details of Poincaré surface plots for at , , , and , respectively.

Image of FIG. 6.
FIG. 6.

Exponential growth-rate (normalized by ) depending on the maximum vector potential amplitude of the unperturbed solution for (solid line), (dash-dotted line), (dashed line), and (dotted line), respectively.

Image of FIG. 7.
FIG. 7.

Exponential growth rate (normalized by ) depending on the maximum vector potential amplitude of the unperturbed solution for (line marked by squares) and (line marked by circles).

Image of FIG. 8.
FIG. 8.

Vector potential (left) and electron density (right) of the most unstable linear mode for (solid line), (dashed line), and (dotted line).

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/content/aip/journal/pop/17/7/10.1063/1.3449591
2010-07-08
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Classification and stability of plasma motion in periodic linearly polarized relativistic waves
http://aip.metastore.ingenta.com/content/aip/journal/pop/17/7/10.1063/1.3449591
10.1063/1.3449591
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