exp_conv_pvoigt

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

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 \((\exp(-kt))\).