rate_eq_conv

TRXASprefitpack.mathfun.rate_eq_conv(t: ndarray, fwhm: float, diff_abs: ndarray, eigval: ndarray, V: ndarray, c: ndarray, irf: str | None = 'g', eta: float | None = None) → ndarray

Constructs signal model rate equation with instrumental response function Supported instrumental response function are

• g: gaussian distribution

• c: cauchy distribution

• pv: pseudo voigt profile

Parameters:

• t – time

• fwhm – full width at half maximum of instrumental response function

• diff_abs – coefficient for each excited state

• eigval – eigenvalue of rate equation matrix

• V – eigenvector of rate equation matrix

• c – coefficient to match initial condition of rate equation

• irf –

  shape of instrumental response function [default: g]

  • ’g’: normalized gaussian distribution,

  • ’c’: normalized cauchy distribution,

  • ’pv’: pseudo voigt profile \((1-\eta)g(t, {fwhm}) + \eta c(t, {fwhm})\)

• eta – mixing parameter for pseudo voigt profile (only needed for pseudo voigt profile)

Returns:

Convolution of the solution of the rate equation and instrumental response function.