exp_conv_pvoigt

TRXASprefitpack.mathfun.exp_conv_pvoigt(t: float | ndarray, fwhm: float, eta: float, k: float) float | ndarray[source]

Compute exponential function convolved with normalized pseudo voigt profile (i.e. linear combination of normalized gaussian and cauchy distribution)

\(\eta C(\mathrm{fwhm}, t) + (1-\eta)G(\mathrm{fwhm}, t)\)

Parameters:
  • t – time

  • fwhm – full width at half maximum parameter for pseudo voigt irf

  • eta – mixing parameter

  • k – rate constant (inverse of life time)

Returns:

Convolution of normalized pseudo voigt profile and exponential decay \((\exp(-kt))\).