A new method for treating the frequency in the transport equation

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Atmospheric Models, Frequency Response, Line Spectra, Radiative Transfer, Absorptivity, Atmospheric Stratification, Atomic Energy Levels, Energy Transfer, Integral Equations, Isothermal Processes, Mathematical Models, Transport Properties, Velocity Distribution

Scientific paper

An approximation is analyzed for treating the frequency in the transport equation applicable to the formation of spectral lines. The transport equation for an atomic model having two energy levels in an atmosphere formed of plane-parallel layers, and the corresponding source function, are considered. The problem is discussed in its simplest form, in the absence of a velocity field, with a semiinfinite, isothermal atmosphere, and without continuous absorption. It is found that the approximation used is formally equivalent to others developed earlier. The integral solution found for the source function is the same type of simplification which is found by using either the classical method, which consists of discretizing the integral over the frequencies in the source equation, or the method of moments.

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