stimulated_emission

typhon.spectroscopy.stimulated_emission(f0, t, t0)

Computes the stimulated emission function

$$K_2=\frac{1-\exp (-\frac{h{f}_0}{k_{B}T})}{1-\exp (-\frac{h{f}_0}{k_B{T}_0})},$$

with Planck constant $h$ and Boltzmann constant $k_B$.

Parameters:

• f0 (float or ndarray) – Line frequency [Hz]

• t (float or ndarray) – Temperature [Kelvin]

• t0 (float or ndarray) – Line temperature [Kelvin]

Returns

K2 (like input): How stimulated the emission is

$$S(T)=S(T_0)K_1{K}_2\frac{Q(T_0)}{Q(T)}$$