dmp_osc_conv_cauchy_2

TRXASprefitpack.mathfun.dmp_osc_conv_cauchy_2(t: float | ndarray, fwhm: float, k: float, T: float, c_pair: Tuple[float]) → float | ndarray

Compute damped oscillation convolved with normalized cauchy distribution

Parameters:

• t – time

• fwhm – full width at half maximum of cauchy distribution

• k – damping constant (inverse of life time)

• T – period of vibration

• c_pair – pair of cosine and sine part of oscillation

Returns:

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