Theoretical quasar emission line ratios. I - Transfer and escape of radiation. II - Hydrogen L-alpha, Balmer, and Paschen lines, and the Balmer continuum

Astronomy and Astrophysics – Astrophysics

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Balmer Series, Emission Spectra, H Alpha Line, Paschen Series, Quasars, Radiative Transfer, Astronomical Models, Asymptotic Methods, Gas Ionization, Line Spectra, Lyman Alpha Radiation, Scaling Laws

Scientific paper

We describe a formalism for the solution of the frequency-integrated radiative transfer equation and the atomic steady state equation appropriate to an externally irradiated, semi-infinite medium. The source functions are cast into equivalent two-level forms, and the equations linking the emergent flux, the line center source function, the flux divergence coefficient ρ, and the atomic steady state equations are given. Asymptotic forms for scaling law solutions to the radiative transfer equation are developed. Escape probabilities appropriate to the above scaling law solutions are discussed for subordinate lines, strongly interlocked resonance lines, weakly interlocked resonance lines, and the bound-free continua.

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