voigt_approx_nobg

mcalf.profiles.voigt_approx_nobg(x, a, b, s, g)[source]

Voigt function (efficient approximation) with no background (Base approx. Voigt function)

This is the base for all other approximated Voigt functions. Not implemented in any models yet as initial tests exhibited slow convergence.

Parameters

  • x (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).

Returns

result – The value of the Voigt function here.

Return type

ndarray of shape x.shape

See also

voigt_approx()

Approximated Voigt function with background added

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