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Doppler-shift decoupling of radiation reabsorption in expanding laser-produced plasmas

  • W. Brunner (a1) and R. W. John (a1)


To investigate the influence of radiation reabsorption on the level populations of ions in an expanding laser-produced plasma of intermediate density, we start with the system of rate equations for the population densities coupled with the line-radiation transport equation, the dynamical Doppler effect due to the differential macroscopic velocity field included. In a physically motivated approximation, for spatially varying absorption and emission, and general three-dimensional plasma geometry, an integral equation describing the effect of Lyman-a radiation reabsorption on the spatial behavior of the population density of the upper resonance level is derived. Assuming a sufficiently large velocity gradient so that the Doppler-induced frequency shift dominates the linewidth, after asymptotically evaluating the frequency integral involved in the kernel we are led to a simplified integral equation exhibiting the reduction of radiation reabsorption by Doppler decoupling. In particular, in the case of a cylindrical, radially expanding laser plasma we discuss this Fredholm equation for the reabsorption-influenced population density.



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Apruzese, J. P. et al. 1986 J. Phys. 47, C6–15.
Borovsky, A. V., Korobkin, V. V. & Mukhtarov, Ch. K. 1985 IOFAN Preprint No. 21, Moscow.
Brunner, W. & John, R. W. 1989 In Abstracts of the 2nd European Conference on Quantum Electronics (EQEC '89), Dresden, Junge, K., Brunner, W. & Paul, H., volume eds. Europhysics Conference Abstracts 13D [European Physical Society], series editor, K. Bethge), Part II, Poster No. 2.6.
Brunner, W. & Schlegel, Th. 1988 Laser Part. Beams 6, 277.
Brunner, W. et al. 1988 Laser Part. Beams 6, 723.
Chenais-Popovics, C. et al. 1987 Phys. Rev. Lett. 59, 2161.
Derzhiev, V. I., Zhidkov, A. G. & Yakovlenko, S. I. 1986 Radiation of Ions in a Non-Equilibrium Dense Plasma (Energoatomizdat, Moscow) (in Russian).
Derzhiev, V. I. et al. 1987 J. Phys. B 20, 6165.
Eder, D. C. et al. 1987 J. Opt. Soc. Am. B 4, 1949.
Mikhlin, S. G. 1957 Integral Equations (Pergamon, London).
Nam, C. H. et al. 1986 J. Opt. Soc. Am. B 3, 1199.
Paul, H. 1988 Private communication.
Rybicki, G. B. 1970 In Spectrum Formation in Stars with Steady-State Extended Atmospheres, NBS Spec. Publ. No. 332, Groth, H. & Wellmann, P., eds. (U.S. GPO, Washington, DC), p. 87.
Rybicki, G. B. 1984 In Methods in Radiative Transfer, Kalkofen, W., ed. (Cambridge Univ. Press, Cambridge), p. 21.
Shestakov, A. I. & Eder, D. C. 1989 J. Quant. Spectrosc. Radiat. Transfer 42, 483.
Sobolev, V. V. 1957 Astron. Zh. 34, 694.
Sobolev, V. V. 1985 A Course in Theoretical Astrophysics, 3rd ed. (Nauka, Moscow) (in Russian).
Whitten, B. L., London, R. A., & Walling, R. S. 1988 J. Opt. Soc. Am. B 5, 2537.

Doppler-shift decoupling of radiation reabsorption in expanding laser-produced plasmas

  • W. Brunner (a1) and R. W. John (a1)


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