Physics – Optics
Scientific paper
Mar 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...254..767h&link_type=abstract
Astrophysical Journal, Part 1, vol. 254, Mar. 15, 1982, p. 767-779.
Physics
Optics
62
Atmospheric Optics, Line Spectra, Radiative Transfer, Spectral Emission, Transition Probabilities, Doppler Effect, Escape Velocity, Flow Velocity, Integral Equations, Kernel Functions, Photons, Planar Structures, Voigt Effect
Scientific paper
An expression giving the escape probability for photons in a spectral line formed in a planar atmosphere with an arbitrary monotonic velocity law is derived and evaluated. For a small velocity gradient, the usual static result is recovered; for large velocity gradients the Sobolev result is obtained, but only at optical depths sufficiently large that the static part of the escape probability is negligible. Extensive numerical results for the escape-probability function for a constant velocity gradient are given for Doppler, Voigt (a = 0.001, 0.01) and Lorentz profiles. The use of these results for flows with nonconstant gradients is discussed.
Hummer David G.
Rybicki George B.
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