voigt_approx

mcalf.profiles.voigt.voigt_approx(x, a, b, s, g, d)[source]

Voigt function (efficient approximation) with background.

Parameters

  • x (numpy.ndarray) – Wavelengths to evaluate Voigt function at.

  • a (float) – Amplitude of the Lorentzian.

  • b (float) – Central line core.

  • s (float) – Sigma (for Gaussian).

  • g (float) – Gamma (for Lorentzian).

  • d (float) – Background.

Returns

result – The value of the Voigt function here.

Return type

numpy.ndarray, shape=`x.shape`

See also

voigt_approx_nobg()

Base approximated Voigt function with no background.

double_voigt_approx_nobg()

Two approximated Voigt functions added together.

double_voigt_approx()

Two approximated Voigt functions and a background added together.

voigt_nobg()

Base Voigt function with no background.

voigt()

Voigt function with background added.

double_voigt_nobg()

Two Voigt functions added together.

double_voigt()

Two Voigt function and a background added together.

Notes

This algorithm is taken from A. B. McLean et al. 1.

References

1

A. B. McLean, C. E. J. Mitchell and D. M. Swanston, “Implementation of an efficient analytical approximation to the Voigt function for photoemission lineshape analysis,” Journal of Electron Spectroscopy and Related Phenomena, vol. 69, pp. 125-132, 1994. https://doi.org/10.1016/0368-2048(94)02189-7