A Two-Domain MATLAB Implementation for Efficient Computation of the Voigt/Complex Error Function

Sanjar M. Abrarov (), Rehan Siddiqui, Rajinder K. Jagpal and Brendan M. Quine
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Sanjar M. Abrarov: Thoth Technology Inc., Algonquin Radio Observatory, Achray Rd., RR6, Pembroke, ON K8A 6W7, Canada
Rehan Siddiqui: Epic College of Technology, 5670 McAdam Rd., Mississauga, ON L4Z 1T2, Canada
Rajinder K. Jagpal: Epic College of Technology, 5670 McAdam Rd., Mississauga, ON L4Z 1T2, Canada
Brendan M. Quine: Thoth Technology Inc., Algonquin Radio Observatory, Achray Rd., RR6, Pembroke, ON K8A 6W7, Canada

Mathematics, 2022, vol. 10, issue 19, 1-14

Abstract: In this work we develop a new algorithm for the efficient computation of the Voigt/complex error function. In particular, in this approach we propose a two-domain scheme where the number of the interpolation grid-points is dependent on the input parameter y . The error analysis we performed shows that the MATLAB implementation meets the requirements for radiative transfer applications involving the HITRAN molecular spectroscopic database. The run-time test shows that this MATLAB implementation provides rapid computation, especially at smaller ranges of the parameter x .

Keywords: complex error function; Faddeeva function; Voigt function; interpolation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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