  The broadband line-by-line analysis of radiative transfer in the atmosphere
is extremely demanding with regard to computational resources. As a remedy, we
present here the calculation of uniform error bounds for approximating the
classical Voigt profile. A new "full" Voigt profile, which can be expressed as
a combination of two Faddeeva evaluations, is also presented and included in
the analysis. The uniform bounds can be used to rigorously determine the
domains on which the Voigt profiles can be approximated by the corresponding
Lorentz profiles to any desired accuracy. The bounds can furthermore be
employed to make a fast and efficient estimate of the most significant lines to
be included in a subband adaptive line selection strategy. By using a realistic
numerical example of radiative transfer in the atmosphere, we demonstrate that
these approximation approaches are able to reduce the computational time of the
associated line-by-line analysis by several orders of magnitude with little
loss of accuracy.
