stimulated_emission

typhon.spectroscopy.stimulated_emission(f0, t, t0)[source]

Computes the stimulated emission function

\[K_2 = \frac{1 - \exp\left( - \frac{h f_0}{k_B T}\right)} {1 - \exp\left( - \frac{h f_0}{k_B T_0}\right)},\]

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

\[S(T) = S(T_0)K_1K_2 \frac{Q(T_0)}{Q(T)}\]