Exact optical self-similar solutions in a tapered graded-index nonlinear-fiber amplifier with an external source

2014 ◽  
Vol 320 ◽  
pp. 129-137 ◽  
Author(s):  
Jun-Rong He ◽  
Lin Yi
Keyword(s):  
Fiber Amplifier ◽  
External Source ◽  
Graded Index ◽  
Self Similar ◽  
Nonlinear Fiber ◽  
Similar Solutions

Self-similar solutions for high-energy density radiative transfer with separate ion and electron temperatures

2021 ◽  
Vol 477 (2249) ◽  
Author(s):  
William Bennett ◽  
Ryan G. McClarren
Keyword(s):  
Energy Density ◽  
Coupling Coefficient ◽  
External Source ◽  
High Energy ◽  
High Energy Density ◽  
Equilibrium Plasma ◽  
Self Similar ◽  
Similar Solutions ◽  
High Energy Density Plasmas ◽  
Density Regime

We consider a non-equilibrium plasma radiatively heated by an external source in the high-energy density regime. It is shown that self-similar solutions resembling the classic Marshak wave exist for the ion and electron temperatures, if the electron–ion coupling coefficient scales inversely proportional to either the time from when the heating begins or to the square of the distance from the surface of the plasma. We discuss how such a coupling coefficient may arise, and demonstrate that these solutions are also useful for verifying simulation codes that treat radiation–electron–ion coupling in high-energy density plasmas.

scholarly journals A laser experiment for studying radiative shocks in astrophysics

2002 ◽  
Vol 20 (2) ◽  
pp. 263-268 ◽  
Author(s):  
X. FLEURY ◽  
S. BOUQUET ◽  
C. STEHLÉ ◽  
M. KOENIG ◽  
D. BATANI ◽  
...  
Keyword(s):  
Laser Pulse ◽  
Pulse Duration ◽  
Experimental Results ◽  
Laboratory Astrophysics ◽  
Laser Pulse Duration ◽  
Radiative Shocks ◽  
Self Similar ◽  
Laser Experiment ◽  
Similar Solutions

In this article, we present a laboratory astrophysics experiment on radiative shocks and its interpretation using simple modelization. The experiment is performed with a 100-J laser (pulse duration of about 0.5 ns) which irradiates a 1-mm3 xenon gas-filled cell. Descriptions of both the experiment and the associated diagnostics are given. The apparition of a radiation precursor in the unshocked material is evidenced from interferometry diagrams. A model including self-similar solutions and numerical ones is derived and fairly good agreements are obtained between the theoretical and the experimental results.

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