Escape probabilities in a cylindrically expanding medium.

Details Escape probabilities in a cylindrically expanding medium. Escape probabilities in a cylindrically expanding medium.

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989jqsrt..42..483s&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 42, issue 6, pp. 483-498

Mathematics

Probability

30

Radiative Transfer: Spectral Lines, Radiative Transfer: X Rays

Scientific paper

The escape probability in the Sobolev limit in 1-D cylindrical symmetry is derived. The result is an integral, a function of the optical depth τ, and another variable determined by the velocity field. Evaluating the integral on the cylindrical axis gives an analytic expression involving Bessel functions, a result which is also valid for self-similarly expanding or contracting media. Off-axis, the integral is approximated by three series expansions. The escape probability is used in a simulation of a cylindrical X-ray laser experiment.

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