Fast and accurate generation of the curve of growth for the Voigt lineshape

Statistics – Computation

Scientific paper

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Absorption Spectra, Curves (Geometry), Line Spectra, Doppler Effect, Spectral Line Width

Scientific paper

A set of relatively simple analytical expressions is given for the rapid computation of the curve growth of a spectral line over the whole range of damping-constant or mixing-parameter values. The computed equivalent width of a pure Gaussian (Doppler broadened) or pure Lorentz (naturally plus collisionally broadened) line-shape is accurate within 1 percent while, for the mixed Voigt lineshape, it is generally accurate within 1 percent, with a maximum of about 5 percent in some narrow regions of the curve of growth.

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