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High gain amplifiers: Power oscillations and harmonic generation
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View: Figures


Image of FIG. 1.
FIG. 1.

Amplified FEL power vs for , , , , and : simulation (continuous line) and logistic approximation [Eq. (1)] (dotted line).

Image of FIG. 2.
FIG. 2.

Behavior of the FEL amplified power after the saturation. (a) Same parameters of Fig. 1; (b) , , , , and : simulation (continuous line) and Eq. (12) (dotted line).

Image of FIG. 3.
FIG. 3.

Amplified FEL power growth and total energy spread (same parameters as in Fig. 1). The induced energy spread oscillations are reproduced by an equation identical to Eq. (12) with and , .

Image of FIG. 4.
FIG. 4.

Phase space plots vs (same parameters of Fig. 1). (a) First three oscillations ; (b) oscillations between .

Image of FIG. 5.
FIG. 5.

Behavior of FEL amplified power and of the third harmonic after the saturation (same parameters as in Fig. 1). The oscillations of the first harmonic are reproduced by Eq. (12) with , , and .

Image of FIG. 6.
FIG. 6.

Same as Fig. 2(a) for . The boxes show the induced energy distribution at the maximum of the emitted power and near the maximum damping of the power oscillations.

Image of FIG. 7.
FIG. 7.

Energy distribution asymmetry coefficients vs for the case of Fig. 6 [(a) and (b) ]. , where , and . The moment of a Gaussian with rms is given by an expression analogous to with .

Image of FIG. 8.
FIG. 8.

Evolution of the first and third harmonic with the inclusion of pulse propagation dynamics, same parameters of Fig. 1 and electron bunch length . In the boxes we have reported the corresponding pulses evolution [(a) first harmonic and (b) third harmonic]. The spiking occurs in correspondence of the minima of the oscillations and tend to be cleaned while the power grows towards the maximum.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: High gain amplifiers: Power oscillations and harmonic generation