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

.. only:: html

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

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

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

.. _sphx_glr_gallery_interfaces_plot_fresnel_angles.py:


Fresnel reflectance versus incidence angle
==========================================

Compare s and p polarization at an air-to-glass interface and identify the
Brewster angle where p-polarized reflection vanishes.

.. GENERATED FROM PYTHON SOURCE LINES 10-28

.. code-block:: Python

    import matplotlib.pyplot as plt
    import numpy
    from TypedUnit import ureg

    from PyOptik import brewster_angle, fresnel_coefficients


    angles = numpy.linspace(0, 89, 500) * ureg.degree
    reflectance_s = numpy.array([
        fresnel_coefficients(1.0, 1.5, angle, polarization="s").reflectance
        for angle in angles
    ])
    reflectance_p = numpy.array([
        fresnel_coefficients(1.0, 1.5, angle, polarization="p").reflectance
        for angle in angles
    ])
    brewster = brewster_angle(1.0, 1.5).to(ureg.degree).magnitude








.. GENERATED FROM PYTHON SOURCE LINES 29-43

.. code-block:: Python

    figure, axis = plt.subplots(layout="constrained")
    axis.plot(angles.magnitude, reflectance_s, label="s polarization")
    axis.plot(angles.magnitude, reflectance_p, label="p polarization")
    axis.axvline(brewster, color="black", linestyle="--", label=f"Brewster: {brewster:.1f}°")
    axis.set(
        xlabel="Incidence angle [degree]",
        ylabel="Reflectance",
        title="Air–glass Fresnel reflectance",
        xlim=(0, 90),
        ylim=(0, 1),
    )
    axis.grid(alpha=0.25)
    axis.legend()
    plt.show()



.. image-sg:: /gallery/interfaces/images/sphx_glr_plot_fresnel_angles_001.png
   :alt: Air–glass Fresnel reflectance
   :srcset: /gallery/interfaces/images/sphx_glr_plot_fresnel_angles_001.png
   :class: sphx-glr-single-img






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

   **Total running time of the script:** (0 minutes 0.320 seconds)


.. _sphx_glr_download_gallery_interfaces_plot_fresnel_angles.py:

.. only:: html

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

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

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

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

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


.. only:: html

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

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