A highly accurate Voigt function algorithm

Mathematics

Scientific paper

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18

Accuracy, Algorithms, Approximation, Doppler Effect, Functions (Mathematics), Molecular Spectroscopy, Radiative Transfer, Velocity Distribution, Voigt Effect, Computer Programs, Errors, Quadratures, Tables (Data)

Scientific paper

A complex Voigt lineshape algorithm is presented whose maximum relative
error over the complex plane is less than 1 x 10(exp -8). The algorithm
consists of series, rational approximations and Gauss-Hermite
integrations which makes it suitable as a general purpose software
module for a wide variety of uses, including a Voigt function standard.

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