Computational Aspects of Speed-Dependent Voigt and Rautian Profiles

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In this article we examined the computational aspects of speed-dependent Voigt and Rautian profiles which are important for the computation of molecular cross sections from the latest spectroscopic line lists. A free preprint version of the article is available via the DLR electronic library.

Important findings

• Speed-dependent Voigt and Rautian given by difference of two complex error functions
• A single rational approximation (Humlicek or Weideman) provides sufficient accuracy for complex error functions
• Cancellation-safe implementation of difference defining complex error functions argument
• Moderate time overhead compared to Voigt function