Dynamic Collision Frequency in Kelbg‐Pseudopotential‐Modelled Plasmas and the Method of Moments with Local Constraints

Abstract

The dense plasma dynamic collision frequency is modeled by the first two terms of its asymptotic expansion at high frequencies and its values at a few interpolation points on the real axis. This makes the dynamic collision frequency a non-rational function whose extension onto the upper half-plane of the complex frequency is holomorphic with a non-negative imaginary part and with a continuous extension to the real axis. The validity of the suggested analytic form of the latter is tested against the simulation data, where the Kelbg effective potential was used.1 The problem set-up Dynamic collision frequencyOne of the problems of modern plasma physics is to obtain an analytic expression for the dielectric function determining the screening effects, the dispersion relations and other dynamic characteristics, as the conductivity, collision frequency, etc. In the present we discuss the long-wavelength generalized Drude-Lorentz model introduced in [1], see also corresponding references therein and the discussion in [2]. Precisely, the following model expression for the two-component plasma IDF was suggested:Notice that the polynomials D n (z) can be easily found by the Gram-Schmidt procedure from the canonical set 1, z, z 2 , z 3 , . . . using the weight function f (t):D 0 (z) = 1, D 1 (z) = z, D 2 (z) = z − c 2 /c 0 , . . .

Optical reflectivity based on the effective interaction potentials of xenon plasma

“…Optical reflectivity and collision processes [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] have attracted considerable attention recently because these processes can be used as diagnostic tools for investigating the plasma parameters in various astrophysical and laboratory plasmas.…”

“…Reflectivitiy of s-polarized (red) and p-polarized (blue) radiation for different incident angles and wavelengths, calculated within the Born approximation(7) for electron-ion interaction (RD potential) as well as electron-atom interaction (RDO potential). Dynamic screening leads to reduced reflectivity and better agreement with the experimental results (seeFigures 4 and 5) Calculated reflectivity in comparison with the experimental data for las = 694 nm.…”