jaxrts.free_free.S0ee_from_dielectric_func_FDT

jaxrts.free_free.S0ee_from_dielectric_func_FDT(k: Quantity, T_e: Quantity, n_e: Quantity, E: Quantity | list, dielectric_function: Quantity | list) → Quantity

Links the dielectric function to S0_ee via the fluctuation dissipation theorem, see, e.g., eqn (9) in [Gregori et al., 2004].

\[S_{\mathrm{ee}}^{0}(k,\omega) = -\frac{\hbar}{1-\exp(-\hbar\omega/k_{B}T_{e})} \frac{\epsilon_{0}k^{2}}{\pi e^{2}n_{e}} \mathrm{Im}\left[\frac{1}{\epsilon(k,\omega)}\right]\]

Parameters:

• k (Quantity) – Length of the scattering number (given by the scattering angle and the energies of the incident photons (unit: 1 / [length]).

• T_e (Quantity) – The electron temperature.

• n_e (Quantity) – The electron number density.

• E (Quantity | List) – The energy shift for which the free electron dynamic structure is calculated. Can be an interval of values.

• dielectric_function (List:) – The dielectric function, normally dependent on \(k\) and \(E\). Several approximations for this are given in this submodule, e.g. dielectric_function_salpeter().

Returns:

S0_ee (jnp.ndarray) – The free electron dynamic structure.