Incoherent shock waves in long-range optical turbulence

2016 ◽  
Vol 333 ◽  
pp. 310-322 ◽  
Author(s):  
G. Xu ◽  
J. Garnier ◽  
D. Faccio ◽  
S. Trillo ◽  
A. Picozzi
2021 ◽  
Vol 60 (03) ◽  
Author(s):  
Matthew A. Hoffmire ◽  
Russell C. Hardie ◽  
Michael A. Rucci ◽  
Richard Van Hook ◽  
Barry K. Karch

2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
J. R. A. J. NiCastro

This paper explores aspects of two-sided similarity modeling using cylindrical geometry for radiating shock waves embedded in a medium with a magnetic field. Two-sided similarity solution techniques may be used to link states influenced by long range near instantaneous fields that continually modify the pre- and postshock zones. Emergent radiation scaling relations are immediately available from consistent homologies. For both small angle and large angle measurements, an approximate analytic technique in the vicinity of luminous fronts together with the high symmetry implications delineated in Lemma provides direct access to the homology parameters. The parameters obtained using this process can augment the constraint relations and contribute to establishing relevant similarity homologies.


We consider one dimensional shock waves in materials which do not conduct heat. We show that most of the classical theory of Hugoniot curves can be broadly generalized to substances having long range, non-linear, viscoelastic memory. For example, the presence of memory does not destroy the conclusion that the jump in entropy across a shock wave of small intensity is of order three or higher in the jump in the strain. The theorems of Bethe and Weyl on shocks of arbitrary intensity also can be generalized to materials with memory.


Author(s):  
M.A. Mogilevsky ◽  
L.S. Bushnev

Single crystals of Al were loaded by 15 to 40 GPa shock waves at 77 K with a pulse duration of 1.0 to 0.5 μs and a residual deformation of ∼1%. The analysis of deformation structure peculiarities allows the deformation history to be re-established.After a 20 to 40 GPa loading the dislocation density in the recovered samples was about 1010 cm-2. By measuring the thickness of the 40 GPa shock front in Al, a plastic deformation velocity of 1.07 x 108 s-1 is obtained, from where the moving dislocation density at the front is 7 x 1010 cm-2. A very small part of dislocations moves during the whole time of compression, i.e. a total dislocation density at the front must be in excess of this value by one or two orders. Consequently, due to extremely high stresses, at the front there exists a very unstable structure which is rearranged later with a noticeable decrease in dislocation density.


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