Calculation of optical depths from an integral of the Voigt function

Physics – Optics

Scientific paper

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Atmospheric Optics, Numerical Integration, Optical Thickness, Voigt Effect, Absorption Spectra, Atmospheric Models, Hydrostatics, Isothermal Processes, Line Spectra, Optical Paths, Series (Mathematics), Transcendental Functions

Scientific paper

The optical depth along a vertical path in an atmosphere in hydrostatic
equilibrium can be calculated from an integral of the Voigt function for
the case where the absorption is due to spectral lines. Series
expansions are presented that allow rapid evaluation of this integral
over all values of the independent variables, frequency and pressure.

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