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Wave-particle interaction and Hamiltonian dynamics investigated in a traveling wave tubea)
a)Paper KI2 6, Bull. Am. Phys. Soc. 50, 183 (2005).
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10.1063/1.2177201
/content/aip/journal/pop/13/5/10.1063/1.2177201
http://aip.metastore.ingenta.com/content/aip/journal/pop/13/5/10.1063/1.2177201
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) (a) Principle of the experiment; (b) rendering of the trochoidal analyzer.

Image of FIG. 2.
FIG. 2.

(Color online) 2-D contour plot of the measured velocity distribution function in a single wave at (a) at fixed interaction length increasing wave amplitude with first-order estimates of modulation (lines) and trapping (half parabola) domains; (b) with fixed wave amplitude versus emitting antenna position from the gun end with the second-order estimate of mean test beam velocity (continuous curve).

Image of FIG. 3.
FIG. 3.

(Color online) 2-D contour plot of the measured velocity distribution function of a test beam (, ) trapped in a single wave at with a trapping domain (continuous curve) for increasing amplitude and fixed interaction length .

Image of FIG. 4.
FIG. 4.

(Color online). Normalized velocity distribution function for a single wave at (curve labeled ), a single wave at (curve labeled ), and two waves at 30 and (curve labeled ). Circles give wave phase velocities; upper horizontal lines indicate trapping regions.

Image of FIG. 5.
FIG. 5.

(Color online) Transition to large-scale chaos and experimental “devil’s staircase:” (a) 2-D contour plot of the measured velocity distribution function of a test beam (, ) after interaction over a length with a single wave at for increasing applied signal amplitude; helix mode (respectively, beam mode) trapping domain is indicated by continuous (respectively, dashed) parabola; secondary resonances are indicated at velocities with ; (b) velocity distribution functions showing “devil’s staircase” steps.

Image of FIG. 6.
FIG. 6.

(Color online) (a) Normalized beam velocity distribution function at the output of the TWT: test beam (, ) (black peak); with helix and beam modes at (phase velocity and trapping domain of each mode given, respectively, by circles and horizontal bars) (blue curve with large spread); with an additional controlling wave at (phase velocity given by middle circle) (red curve with reduced spread); (b) kinetic coherence versus beam energy.

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2006-05-11
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Wave-particle interaction and Hamiltonian dynamics investigated in a traveling wave tubea)
http://aip.metastore.ingenta.com/content/aip/journal/pop/13/5/10.1063/1.2177201
10.1063/1.2177201
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