Formation of resonance lines in media with stochastic depth dependence of the Planck function

Details Formation of resonance lines in media with stochastic depth dependence of the Planck function Formation of resonance lines in media with stochastic depth dependence of the Planck function

Apr 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987jqsrt..37..361g&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 37, April 1987, p. 361-371. DFG-supported res

Mathematics

3

Optical Thickness, Ornstein-Uhlenbeck Process, Plancks Constant, Radiative Transfer, Resonance Lines, Stochastic Processes, Eigenvalues, Langevin Formula, Matrices (Mathematics), Polynomials

Scientific paper

A plane-parallel medium with a stochastic depth dependence of the Planck function, represented by a discrete analog of the Ornstein-Uhlenbeck process, is investigated. The transfer equation is solved for a two-level atom by means of a matrix-exponential method. Stochastic properties of this process are derived, and mean values, variances, and probability densities of the specific intensities are evaluated as functions of the angle, frequency, and optical depth. For some parameter sets, the situation is simulated numerically, and intensity distributions are computed for strong resonance lines.

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