# Encoding: utf-8
"""Lorentz dispersion law with parameters in units of energy."""
import numpy.typing as npt
from ..utils import conversion_wavelength_energy
from .base_dispersion import Dispersion
[docs]
class LorentzEnergy(Dispersion):
r"""Lorentz dispersion law with parameters in units of energy.
Single parameters:
--
Repeated parameters:
:A: Amplitude of the oscillator. Defaults to 1.
:E: Resonance energy. Defaults 0. Unit in eV.
:gamma: Broadening of the oscillator. Defaults to 0. Unit in eV.
Output:
.. math::
\varepsilon(E) = 1 + \sum_j \boldsymbol{A}_j / \left(E^2-\boldsymbol{E}_j^2
+ i \cdot \boldsymbol{gamma}_j \cdot E\right)
With :math:`j` as the index for the respective oscillator.
"""
single_params_template = {}
rep_params_template = {"A": 1, "E": 0, "gamma": 0}
def dielectric_function(self, lbda: npt.ArrayLike) -> npt.NDArray:
energy = conversion_wavelength_energy(lbda)
return 1 + sum(
c.get("A") / (c.get("E") ** 2 - energy**2 - 1j * c.get("gamma") * energy)
for c in self.rep_params
)