Mathematical modelling of radiative properties of substances that are used as soft X-ray source materials for X-pinch
Matematičeskoe modelirovanie, Tome 23 (2011) no. 2, pp. 53-61.

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Theoretical and experimental studies of radiative properties of substances that are used as soft X-ray sources in X-pinch have been carried out depending on the plasma composition. Important features of the theoretical model, which can be used for complex materials, are discussed. It is shown that X-pinch radiative efficiency depends on the spectral coefficients for X-ray absorption and radiation of plasma produced by exploding wires, and the efficiency depends on materials the wires were produced from. The efficiency can be optimized by modifying the wire composition. Theoretical estimations of radiative efficiency are compared with experimental data that are obtained from measurements of X-pinch radiation energy yield using two exploding wire materials, NiCr and Alloy 188. Symmetric multilayer X-pinch, where W and Mo wires are used, is considered. Theoretical explanation of experimental phenomena is discussed basing upon W and Mo radiative spectra, Rosseland and Planck mean free paths.
Keywords: the radiative opacity, Rosseland and Planck mean free paths.
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O. B. Denisov; N. Yu. Orlov. Mathematical modelling of radiative properties of substances that are used as soft X-ray source materials for X-pinch. Matematičeskoe modelirovanie, Tome 23 (2011) no. 2, pp. 53-61. http://geodesic.mathdoc.fr/item/MM_2011_23_2_a3/

[1] Feynman R., Metropolis N., Teller E., “Equations of state of elements based on the generalized Fermi-Thomas theory”, Phys. Rev., 75 (1949), 73–79 | DOI

[2] Rozsnyai B. F., “Relativistic Hartree-Fock-Slater calculations for arbitrary temperature and matter density”, Phys. Rev. A, 5:3 (1972), 1137–1149 | DOI

[3] Nikiforov A. F., Uvarov V. B., “Opisanie sostoyaniya veschestva v oblasti vysokikh temperatur na osnove uravnenii samosoglasovannogo polya”, Chislennye metody mekhaniki sploshnoi sredy, 4:4 (1973), 114–119

[4] Rozsnyai B. F., “An overview of the problems connected with theoretical calculations for hot plasmas”, J. Quant. Spectrosc. Radiat. Transfer, 27:3 (1982), 211–217 | DOI

[5] Orlov N. Yu., “Ion Model of a Hot Dense Plasma”, Laser and Particle Beams, 15 (1997), 627–634 | DOI

[6] Orlov N. Yu., Fortov V. E., “Sravnitelnyi analiz teoreticheskikh modelei plotnoi vysokotemperaturnoi plazmy i metod funktsionala plotnosti”, Fizika plazmy, 27:1 (2001), 45–57

[7] Orlov N. Yu., “Kvantovo-statisticheskii raschet svoistv smesi khimicheskikh elementov s uchetom fluktuatsii chisel zapolneniya elektronnykh sostoyanii”, ZhVM i MF, 27:7 (1987), 1058–1067 | MR | Zbl

[8] Orlov N. Yu., “Calculation of the Radiative Opacity of a Hot Dense Plasma”, Contributions to Plasma Physics, 39 (1999), 177–180 | DOI

[9] Denisov O. B., Orlov N. Yu., Guskov S. Yu., Rozanov V. B., Zmitrenko N. V., Mikhailov A. P., “Modelirovanie kompozitsionnogo sostava materialov dlya istochnikov myagkogo rentgenovskogo izlucheniya, primenyaemykh v issledovaniyakh po inertsialnomu termoyadernomu sintezu”, Fizika plazmy, 31:8 (2005), 742–748

[10] Shelkovenko T. A., Pikuz S. A., MakBraid R. D., Knapp P. F., Vilkhelm G., Sinars D. B., Khammer D. A., Orlov N. Yu., “Simmetrichnyi mnogosloinyi X-pinch s megaampernym tokom”, Fizika plazmy, 36:1 (2010), 1–18

[11] Orlov N. Yu., Guskov S. Yu., Pikuz S. A., Rozanov V. B., Shelkovenko T. A., Zmitrenko N. V., Hammer D. A., “Theoretical and experimental studies of the rsdiative properties of hot dense matter for optimizing soft X-ray sources”, Laser and Particle Beams, 25 (2007), 1–9 | DOI

[12] Zeldovich Ya. B., Raizer Yu. P., Fizika udarnykh voln i vysokotemperaturnykh gidrodinamicheskikh yavlenii, Nauka, M., 1966