High Power Laser Science and Engineering, Volume. 3, Issue 1, 010000e6(2015)
Temperature dependence of parametric instabilities in the context of the shock-ignition approach to inertial confinement fusion
Fig. 1. The temporal evolution of the intensity in the case of conventional drive (blue curve) and SI drive (red curve). In the standard approach to ICF the driver is responsible for fuel assembly and a high velocity, , for igniting the fuel due to the creation of a hotspot. In the SI scenario the main drive is responsible for fuel assembly but at a lower velocity,
, preventing ignition. The short high-intensity shock-inducing pulse launched at a later time will reach the fuel at stagnation and ignite it. (Note: the curves in this cartoon drawing are not to scale.)
Fig. 2. Localization of the various parametric instabilities in the plasma profile. The figure represents a realistic profile. The one used in the simulations is smaller (see Section
Fig. 3. The profiles of the plasma and the incident laser beam. The parameters are given in Section
Fig. 4. Geometry of the -vectors involved in the TPD instability. The decay of a photon into two plasmons can be realized in two possible ways while preserving energy and momentum. This particular geometry applies in 2D and helps with the interpretation of the phase space diagrams. In reality, 3D, the number of possible
-vectors is infinite lying on an asymmetric cone around the laser
-vector.
Fig. 5. Reflectivities (, i.e., reflected intensity over incident intensity at the centre of the speckle in the transverse direction) for the cases (a) c8, (b) h8, (c) h7 and (d) h9. The curves are ‘filled’ as the laser temporal period is resolved. The blue curve corresponds to SBS-like frequencies, summing the range
–
. The red curve corresponds to SRS-like frequencies, summing the range
–
. No frequencies are present in the interval
–
. Note: the time on the axis refers to the moment the reflected light crosses the boundary of the computational box; as the quarter critical density is located at
, the light was actually refelected
earlier.
Fig. 7. Frequency spectra for the cases (a) c8, (b) h9 and (c) a zoom of (b). Note: (a) and (b) are on log scale whereas (c) is on linear scale.
Fig. 8. Two-dimensional Fourier spectra of the electromagnetic field evaluated in the vicinity of
for the cases c8 (a, c) and h9 (b, d) taken at times
(a, b) and
(c, d).
Fig. 9. Poynting vector for the case c8 at . The ‘hole’ behind the density layer around
is clearly visible.
Fig. 10. Fourier transform of the ion density corresponding to Figure , (b) case h8 at
, (c) case h7 at
and (d) case h9 at
. It should be noted that the axes for the various cases differ as the
-vectors become shorter as the temperature increases.
Fig. 11. Ion density near the quarter critical density (located at . (a) Case c8 at
, (b) case h8 at
, (c) case h7 at
and (d) case h9 at
. It should be noted that the colour scale used is not the same for each of the four sub-figures in order to enhance the visibility of the structures.
Fig. 12. The transverse electron phase space as a function of the laser propagation direction for (a) case c8 at , (b) case h8 at
, (c) case h7 at
and (d) case h9 at
. The time slice for h9 is taken at an early time as the electrons start to recirculate quickly.
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S. Weber, and C. Riconda. Temperature dependence of parametric instabilities in the context of the shock-ignition approach to inertial confinement fusion[J]. High Power Laser Science and Engineering, 2015, 3(1): 010000e6
Category: regular articles
Received: Jul. 24, 2014
Accepted: Nov. 20, 2014
Published Online: Apr. 14, 2015
The Author Email: S. Weber (stefan.weber@eli-beams.eu)