High Power Laser Science and Engineering, Volume. 2, Issue 3, 03000e22(2014)
Ultrafast ignition with relativistic shock waves induced by high power lasers
Figures & Tables(8)
Fig. 1. The fluid flow velocities 
and 
as seen in the shock wave singularity frame of reference 
and the shock wave velocity 
and the particle flow velocities 
and 
as seen in the laboratory frame of reference.
Fig. 2. (a) The capacitor model for laser irradiances 
where the ponderomotive force dominates the interaction. (b) The parameters that define our capacitor model: 
and 
are the electron and ion densities accordingly, 
is the electric field, 
is the distance between the positive and negative DL charges. The DL is geometrically followed by a neutral plasma where the electric field decays within a skin depth 
and a shock wave is created. (c) The shock wave description in the piston model.
Fig. 3. The compression 
as a function of the shock wave dimensionless pressure 
. The numerical values are obtained for 
.
Fig. 4. The dimensionless shock wave pressure 
versus the dimensionless laser irradiance 
in the range 10
. For a better understanding of this graph the inserted table shows numerical values in the range 
.
Fig. 5. The dimensionless shock wave velocity 
and the particle velocity 
in the laboratory frame of reference versus the dimensionless laser irradiance 
in the range 
. For a better understanding of this graph the inserted tables show numerical values in the range 
.
Fig. 6. The speed of sound 
is given in units of the speed of light 
in (a) and the ratio of the shock velocity to the rarefaction velocity, 
is shown in (b) as function of the dimensionless laser irradiance 
in the range 
. The inserted tables show numerical values in the range 
.
Fig. 7. The FI scheme suggested in this paper. As a numerical example an initial pellet with radius 
and DT fuel of density 
with thickness 
(i.e., an aspect ratio of 10) is compressed to a density of 
by nanosecond lasers with a radius of 
. The picosecond fast igniter laser with a 
beam diameter creates a shock wave pulse with a thickness of 
and can be considered a 1D shock wave to a reasonable approximation.
Table 1. The laser is defined by its irradiance
, pulse duration 
, energy W
and power P
. This laser creates a shock wave with a compression 
in a pre-compressed target with an initial density 
. The shock wave thickness 
, where 
and 
are the shock wave velocity and the particle velocity respectively) and its cross section are 
and 
, respectively, satisfying 
in order to have a 1D shock wave.View tableView in ArticleTable 1. The laser is defined by its irradiance
, pulse duration , energy W and power P. This laser creates a shock wave with a compression in a pre-compressed target with an initial density . The shock wave thickness , where and are the shock wave velocity and the particle velocity respectively) and its cross section are and , respectively, satisfying in order to have a 1D shock wave.$\Pi _{\mathrm{L}}$ $\rho _{0}$ $I_{\mathrm{L}}$ $\kappa $ ( $u_{\mathrm{s}}-u_{\mathrm{p}})/c$ $\tau _{\mathrm{L}}$ $l_{\mathrm{s}}$ $S$ $W_{\mathrm{L}}$ $P_{\mathrm{L}}$ $(\mathrm{g\ cm}^{-3})$ $(\mathrm{W\ cm}^{-2})$ $(\mathrm{ps})$ $(\mu \mathrm{m})$ $(\mathrm{cm}^{2})$ $(\mathrm{kJ})$ (PW) 
4 
1.6 0.72 
30 19 
4 
0.5 0.75 
60 120 
4 
0.2 0.78 
260 1300
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Shalom Eliezer, Noaz Nissim, Shirly Vinikman Pinhasi, Erez Raicher, and Jose Maria Martinez Val. Ultrafast ignition with relativistic shock waves induced by high power lasers[J]. High Power Laser Science and Engineering, 2014, 2(3): 03000e22
Paper Information
Category: High Energy Density Physics and High Power Laser 2014
Received: Apr. 9, 2014
Accepted: May. 11, 2014
Published Online: Nov. 5, 2014
The Author Email:
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