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Optica Publishing Group
  • Applied Spectroscopy
  • Vol. 55,
  • Issue 7,
  • pp. 822-826
  • (2001)

General Expression for the Voigt Function that is of Special Interest for Applied Spectroscopy

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Abstract

The purpose of this work is twofold. First we obtain a series expansion for the Voigt function that is valid for all values of the dimensionless parameter <i>a</i> (a measure of the ratio between the Lorentzian and Gaussian widths). Furthermore, the resulting coefficients are independent of the generalized coordinate <i>b</i> (the wavelength measured in units of the Gaussian width). In the second place, we fit an experimental "shaped bell" curve to a Voigt profile using certain theoretical restrictions that relate the maximum height and the full width at half-maximum.

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