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Instability of wave modes in a free-electron laser with a helical wiggler and ion-channel guiding
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10.1063/1.3006089
/content/aip/journal/pop/15/11/10.1063/1.3006089
http://aip.metastore.ingenta.com/content/aip/journal/pop/15/11/10.1063/1.3006089
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Axial velocity (solid lines) and (circles) as functions of the normalized ion-channel frequency for group I and group II orbits.

Image of FIG. 2.
FIG. 2.

Schematic representation of the uncoupled dispersion relations for the positive and negative-energy space-charge waves , right-betatron plus , right-betatron minus , and right-escape electromagnetic waves.

Image of FIG. 3.
FIG. 3.

Normalized frequency as a function of for right and left waves for group I orbits. Solid curves show the left wave and dotted curves show the right wave.

Image of FIG. 4.
FIG. 4.

Normalized frequency as a function of for right and left waves for group II orbits. Solid curves show the left wave and dotted curves show the right wave.

Image of FIG. 5.
FIG. 5.

Couplings of right-escape and negative-energy space-charge waves for group I orbits. Dotted lines denote complex-conjugate roots.

Image of FIG. 6.
FIG. 6.

vs for coupling of group I orbits.

Image of FIG. 7.
FIG. 7.

vs for coupling of group I orbits and for different normalized ion-channel frequency .

Image of FIG. 8.
FIG. 8.

Couplings of left-betatron minus and positive-energy space-charge waves for group I orbits. Dotted lines denote complex-conjugate roots.

Image of FIG. 9.
FIG. 9.

vs for coupling of group I orbits.

Image of FIG. 10.
FIG. 10.

Couplings of right-betatron plus and negative-energy space-charge waves for group II orbits with . Dotted lines denote complex-conjugate roots.

Image of FIG. 11.
FIG. 11.

Couplings of right-betatron plus and left-betatron minus waves for group II orbits with . Dotted lines denote complex-conjugate roots.

Image of FIG. 12.
FIG. 12.

vs for group II orbits with .

Image of FIG. 13.
FIG. 13.

Coupling of wave modes for group II orbit with . Dotted lines denote complex conjugate roots.

Image of FIG. 14.
FIG. 14.

Coupling of wave modes for group II orbit with . Dotted lines denote complex conjugate roots.

Image of FIG. 15.
FIG. 15.

vs for group II orbit with .

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/content/aip/journal/pop/15/11/10.1063/1.3006089
2008-11-03
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Instability of wave modes in a free-electron laser with a helical wiggler and ion-channel guiding
http://aip.metastore.ingenta.com/content/aip/journal/pop/15/11/10.1063/1.3006089
10.1063/1.3006089
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