Non-LTE transfer - an alternative derivation for the square root of epsilon

Details Non-LTE transfer - an alternative derivation for the square root of epsilon Non-LTE transfer - an alternative derivation for the square root of epsilon

Feb 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979mnras.186..369l&link_type=abstract

Monthly Notices of the Royal Astronomical Society, vol. 186, Feb. 1979, p. 369-375. Consiglio Nazionale delle Ricerche

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8

Functions (Mathematics), Isothermal Processes, Radiative Transfer, Stellar Atmospheres, Frequency Distribution, Integral Equations, Limits (Mathematics), Nonequilibrium Radiation

Scientific paper

An important feature of the Wiener-Hopf integral equation is that the value of the source function at the surface of an isothermal atmosphere is given by the square root of the probability of collisional deexcitation (epsilon) times the Planck function (B), as long as a certain integral equation for the kernel (K) holds. In this paper, the Wiener-Hopf integral equation alone is used for an alternative derivation of the surface value of the source function in a semiinfinite isothermal atmosphere for a two-level atom with complete frequency redistribution. The same derivation is applied to determine upper and lower bounds to the surface value of the source function in exponential atmospheres.

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