qspec.convolved_thermal_norm_f_pdf  (  f ,  f_lab ,  alpha ,  m ,  t ,  scale_e ,  e0 = 0 ,  relativistic = True  )[source]

Parameters:

farray_like

Frequency quantiles (arb. units).

f_labarray_like

Laser frequency in the laboratory frame ([f]).

alphaarray_like

Angle between the laser and the atoms velocity direction (rad).

marray_like

The mass of the ensembles bodies (amu).

tarray_like

The temperature of the ensemble (K).

scale_earray_like

The standard deviation of the normal distribution (eV).

e0array_like

The mean energy of the normal distribution (eV).

relativisticNone

The calculation is performed either relativistically or classically.

Returns:

outarray_like

The probability density at the frequency 'f' in the atoms rest frame, related to the kinetic energy via the laser frequency 'f_lab' and the Doppler effect. The kinetic energies are distributed according to a convolution of the boltzmann and a normal distribution (1/MHz).