dmp_osc_conv_cauchy

TRXASprefitpack.mathfun.dmp_osc_conv_cauchy(t: Union[float, ndarray], fwhm: float, k: float, T: float, phase: float) → Union[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

• phase – phase factor

Returns

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