deriv_dmp_osc_conv_gau_2

TRXASprefitpack.mathfun.deriv_dmp_osc_conv_gau_2(t: float | ndarray, fwhm: float, k: float, T: float, c_pair: Tuple[float]) → ndarray[source]

Compute derivative of the convolution of damped oscillation and normalized gaussian distribution

Parameters:

  • t – time

  • fwhm – full width at half maximum of gaussian distribution

  • k – damping constant (inverse of life time)

  • T – period of vibration

  • c_pair – pair of coefficient for cosine and sine part of oscillation

Returns:

Derivative of Convolution of normalized gaussian distribution and damped oscillation \((\exp(-kt) \cdot (c_1 \cos(2\pi t/T) + c_2 \sin(2\pi t/T)))\).

Note

  • 1st column: df/dt

  • 2nd column: df/d(fwhm)

  • 3rd column: df/dk

  • 4th column: df/dT