.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "gen_examples/free_free/plot_See0_QCSA.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_gen_examples_free_free_plot_See0_QCSA.py>`
        to download the full example code

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_gen_examples_free_free_plot_See0_QCSA.py:


Plot See0 using the Quantum corrected Salpetera approximation
=============================================================

The following plot is a reproduction of Fig 1b in :cite:`Gregori.2003`.

.. GENERATED FROM PYTHON SOURCE LINES 7-53



.. image-sg:: /gen_examples/free_free/images/sphx_glr_plot_See0_QCSA_001.svg
   :alt: plot See0 QCSA
   :srcset: /gen_examples/free_free/images/sphx_glr_plot_See0_QCSA_001.svg
   :class: sphx-glr-single-img





.. code-block:: Python


    # TO-DO: Add also Fig. 1 a+c

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

    import jaxrts
    import jaxrts.free_free as free_free

    ureg = jaxrts.units.ureg

    plt.style.use("science")

    lambda_0 = 4.13 * ureg.nanometer
    theta = 160
    k = (4 * jnp.pi / lambda_0) * jnp.sin(jnp.deg2rad(theta) / 2.0)

    for count, T in enumerate(
        [
            0.5 * ureg.electron_volts,
            2.0 * ureg.electron_volts,
            8.0 * ureg.electron_volts,
        ]
    ):
        E = jnp.linspace(-10, 10, 500) * ureg.electron_volts
        vals = free_free.S0_ee_Salpeter(
            k,
            T_e=T / (1 * ureg.boltzmann_constant),
            n_e=1e21 / ureg.centimeter**3,
            E=E,
        )
        if count == 0:
            norm = onp.max(vals)
        plt.plot(
            E.m_as(ureg.electron_volt),
            (vals / norm).m_as(ureg.dimensionless),
            label="T = " + str(T.m_as(ureg.electron_volt)) + " eV",
        )

    plt.xlabel(r"$\omega$ [eV]")
    plt.ylabel(r"$S^0_{\text{ee}}$ [arb. units]")

    plt.legend()
    plt.tight_layout()
    plt.show()


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 3.831 seconds)


.. _sphx_glr_download_gen_examples_free_free_plot_See0_QCSA.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_See0_QCSA.ipynb <plot_See0_QCSA.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_See0_QCSA.py <plot_See0_QCSA.py>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_