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Convective Raman amplification of light pulses causing kinetic inflation in inertial fusion plasmas
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10.1063/1.4762853
/content/aip/journal/pop/19/11/10.1063/1.4762853
http://aip.metastore.ingenta.com/content/aip/journal/pop/19/11/10.1063/1.4762853

Figures

Image of FIG. 1.
FIG. 1.

The geometry of the OSIRIS simulations.

Image of FIG. 2.
FIG. 2.

Several calculations of the linear convective BSRS gain spectra for a box long. The dashed-dotted curves are analytic results, and the (dashed, solid) ones take into account PIC effects with the (5,2)-pass filter.

Image of FIG. 3.
FIG. 3.

The longitudinal electric field in a simulation with (a) and without (b) a seed pulse. Subtracting the latter from the former reveals the plasma wave (c) and (d).

Image of FIG. 4.
FIG. 4.

The shapes of the seed pulses in the simulations. A Gaussian-like pulse (a) with a rise and fall time (), and a flat-top pulse (b) with a Gaussian-like rise and fall, and a steady amplitude for in between.

Image of FIG. 5.
FIG. 5.

Scattered light vs. position and time (a), lineouts of the scattered light vs. position at various times (b), and plasma wave amplitude (c) from a simulation using a Gaussian-like seed pulse with and .

Image of FIG. 6.
FIG. 6.

Measured gain in simulations with box length vs. seed wavelength (a) and seed intensity (b). Plotted are the gains we measure using a Gaussian-like pulse (green with square markers) and a flat-top pulse (blue with circle markers), both with . (a) includes the gain from simulations with a Gaussian-like pulse and the 5-pass filter (black with ‘x’ markers), plus those without relativistic effects (brown with “+” markers). Several theoretical gain curves taking into account PIC effects are included: 2-pass non-relativistic is dashed-dotted red, 2-pass relativistic is solid magenta, and 5-pass relativistic is dashed purple.

Image of FIG. 7.
FIG. 7.

The BSRS reflected light using a flat-top seed with (a)and (b). The simulation results are plotted with solid magenta lines while the coupled-mode results are plotted with dashed-dotted black lines. The horizontal dashed red line indicates the maximum seed amplitude with no gain.

Image of FIG. 8.
FIG. 8.

The measured gain in a box of length predicted by the coupled-mode solver as we vary the wavelength using a Gaussian-like pulse (dashed brown with ‘+’ markers) and a flat-top pulse (dashed magenta with circle markers). For comparison, we include the PIC simulation result for the Gaussian-like pulse (solid blue with “x” markers) and the flat-top pulse (solid red with square markers) along with the linear relativistic gain curve taking into account PIC effects (dashed-dotted green).

Image of FIG. 9.
FIG. 9.

The longitudinal field vs. space at when using a flat-top seed with (a) and (b); the same runs as used in Fig. 7. The simulation results are plotted with solid magenta lines, while the coupled-mode results are plotted with dashed-dotted black lines.

Image of FIG. 10.
FIG. 10.

The scattered light (a) and the plasma wave (b) seen when we extend the duration of the simulation using a Gaussian-like seed pulse with and . The seed exits the box around .

Image of FIG. 11.
FIG. 11.

Evolution of the scattered light (a) and the longitudinal field (the PIC simulation field is filtered) (b) with time at for the simulation of Figure 10. The simulation results are plotted with solid blue lines and the coupled-mode results are plotted with dashed black lines.

Image of FIG. 12.
FIG. 12.

Orbits of particles trapped in the plasma wave in the simulation of Figure 10. The orbits are plotted for starting at in the wave frame, where is the plasma wave phase speed and the orbits are centered around the relativistic .

Image of FIG. 13.
FIG. 13.

The distribution functions from the simulation of Figure 10 at (solid blue) and (dashed black) along with the Jüttner distribution for a 2.5 keV electron plasma (dashed-dotted red). The measured distributions have a plateaus beginning around , indicating particle trapping.

Image of FIG. 14.
FIG. 14.

The reflected light in extended duration simulations using a Gaussian-like seed pulse with and various maximum initial intensities. Shown are (solid blue), (dotted green), (dashed-dotted red), and (dashed black).

Image of FIG. 15.
FIG. 15.

The scattered light (a) and plasma wave (b) in a simulation using a flat-top seed pulse with and . Below them are the Wigner transforms of the reflected light at x = 0 (c), the plasma wave at (d), and the plasma wave at (e).

Image of FIG. 16.
FIG. 16.

The scattered light (a) and plasma wave (b) in a simulation using a flat-top seed pulse with and . Below them are the Wigner transforms of the reflected light at x = 0 (c) and the plasma wave at (d).

Image of FIG. 17.
FIG. 17.

Results from simulations with flat-top seed pulses with and . The scattered light (left) and plasma wave (right) for simulations using a pulse duration of are in panels (a-b, c-d), respectively.

Image of FIG. 18.
FIG. 18.

The reflected light seen in several simulations using a flat-top seed of duration with for various wavelengths. The two top curves are for seeds with (solid red) and (dashed cyan). The four lower curves are for seeds with (dotted blue), (dashed green), (dashed-dotted purple), and (solid yellow). For comparison, we mark the steady-state linear relativistic PIC values using horizontal dashes on the left side of the plot. The red vertical dash on the lower right side of the plot indicates approximately when the seeds end.

Image of FIG. 19.
FIG. 19.

The scattered light (a), and the resonance product from Eq. (32) (b) for the flat-top seed of duration with .

Image of FIG. 20.
FIG. 20.

The scattered light (a), and the resonance product from Eq. (32) (b) for the flat-top seed of duration with .

Image of FIG. 21.
FIG. 21.

The time-average measured gain seen in simulations as we vary the continuous seed intensity using seeds with (dashed blue) and (solid red). For comparison, we use horizontal dashes on the left side of the plot to mark the steady-state gain from linear relativistic PIC theory.

Image of FIG. 22.
FIG. 22.

The reflected light in simulations using a continuous seed with (solid red in Fig. 21). (a), (b), and (c). The horizontal dashed-dotted line indicates the amplitude of the seed (unamplified) reflected light.

Image of FIG. 23.
FIG. 23.

The reflected light in simulations using a continuous seed with (dashed blue in Fig. 21). (a), (b), and 1.024 (c). The horizontal dashed-dotted line indicates the amplitude of the seed (unamplified) reflected light.

Tables

Generic image for table
Table I.

The bounce times of deeply trapped electrons measured in the simulations of Figure 14, along with the bounce times calculated using the average plasma wave field amplitude along the particle's trajectory.

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/content/aip/journal/pop/19/11/10.1063/1.4762853
2012-11-26
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Convective Raman amplification of light pulses causing kinetic inflation in inertial fusion plasmas
http://aip.metastore.ingenta.com/content/aip/journal/pop/19/11/10.1063/1.4762853
10.1063/1.4762853
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