Showcase the DetailedBalace free-bound scattering Model

This plot is comparable to the target analzed by [Döppner et al., 2023], is this example is one of the dataset revisited by cite:Bohme.2023. However, we used simpler for the relevant scattering processes, just to show the usage of jaxrts.models.DetailedBalace.

import jax.numpy as jnp
import matplotlib.pyplot as plt

import jaxrts

ureg = jaxrts.units.ureg

plt.style.use("science")

setup = jaxrts.setup.Setup(
    ureg("120°"),
    energy=ureg("9keV"),
    measured_energy=jnp.linspace(8, 9.5, 300) * ureg.kiloelectron_volt,
    instrument=jaxrts.instrument_function.Gaussian(sigma=ureg("30.0eV")),
)
state = jaxrts.PlasmaState(
    [jaxrts.Element("Be")],
    jnp.array([3.0]),
    jnp.array([9.3]) * ureg.gram / ureg.centimeter**3,
    jnp.array([119]) * ureg.electron_volt / ureg.k_B,
    jnp.array([119]) * ureg.electron_volt / ureg.k_B,
)


state["ionic scattering"] = jaxrts.models.Gregori2003IonFeat()
state["free-free scattering"] = jaxrts.models.RPA()
state["bound-free scattering"] = jaxrts.models.SchumacherImpulse()
state["free-bound scattering"] = jaxrts.models.DetailedBalance()

plt.plot(
    setup.measured_energy.m_as(ureg.electron_volt),
    state.evaluate("free-free scattering", setup).m_as(ureg.second),
    label="free-free",
    linestyle="dashed",
)
plt.plot(
    setup.measured_energy.m_as(ureg.electron_volt),
    state.evaluate("bound-free scattering", setup).m_as(ureg.second),
    label="bound-free",
)
plt.plot(
    setup.measured_energy.m_as(ureg.electron_volt),
    state.evaluate("free-bound scattering", setup).m_as(ureg.second),
    label="free-bound",
)
plt.plot(
    setup.measured_energy.m_as(ureg.electron_volt),
    state.probe(setup).m_as(ureg.second),
    lw=2,
    color="black",
    label="full",
)
plt.xlabel("Energy [eV]")
plt.ylabel("Scattering intensity")
plt.legend()
plt.tight_layout()
plt.show()