Fast analytic formulas for the modified Bessel functions of imaginary order for spectral line broadening calculations.

Details Fast analytic formulas for the modified Bessel functions of imaginary order for spectral line broadening calculations. Fast analytic formulas for the modified Bessel functions of imaginary order for spectral line broadening calculations.

Jul 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999jqsrt..62..389p&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 62, issue 4, pp. 389-395

Physics

1

Line Broadening: Plasma, Line Broadening: Numerical Simulations

Scientific paper

The authors review the status of the standard line broadening theory for plasmas and fill in the existing gap, i.e., the partially overlapping case for ion lines, by deriving expressions as well as fast and accurate numerical approximations for the relevant functions, namely the modified Bessel function of imaginary order and its derivative with respect to argument. These functions also arise in the context of the theory of Coulomb excitation.

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