.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "user-guide/model-gallery/spectral/plot_super_exp_cutoff_powerlaw_4fgl_dr1.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_user-guide_model-gallery_spectral_plot_super_exp_cutoff_powerlaw_4fgl_dr1.py>`
        to download the full example code. or to run this example in your browser via Binder

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

.. _sphx_glr_user-guide_model-gallery_spectral_plot_super_exp_cutoff_powerlaw_4fgl_dr1.py:


.. _super-exp-cutoff-powerlaw-4fgl-spectral-model:

Super Exponential Cutoff Power Law Model used for 4FGL-DR1 (and DR2)
====================================================================

This model parametrises super exponential cutoff power-law model spectrum used for 4FGL.

It is defined by the following equation:

.. math::
    \phi(E) = \phi_0 \cdot \left(\frac{E}{E_0}\right)^{-\Gamma_1}
              \exp \left(
                  a \left( E_0 ^{\Gamma_2} - E^{\Gamma_2} \right)
              \right)

See Equation (4) in https://arxiv.org/pdf/1902.10045.pdf

.. GENERATED FROM PYTHON SOURCE LINES 21-24

Example plot
------------
Here is an example plot of the model:

.. GENERATED FROM PYTHON SOURCE LINES 24-45

.. code-block:: Python


    from astropy import units as u
    import matplotlib.pyplot as plt
    from gammapy.modeling.models import (
        Models,
        SkyModel,
        SuperExpCutoffPowerLaw4FGLSpectralModel,
    )

    energy_range = [0.1, 100] * u.TeV
    model = SuperExpCutoffPowerLaw4FGLSpectralModel(
        index_1=1,
        index_2=2,
        amplitude="1e-12 TeV-1 cm-2 s-1",
        reference="1 TeV",
        expfactor=1e-2,
    )
    model.plot(energy_range)
    plt.grid(which="both")
    plt.ylim(1e-24, 1e-10)




.. image-sg:: /user-guide/model-gallery/spectral/images/sphx_glr_plot_super_exp_cutoff_powerlaw_4fgl_dr1_001.png
   :alt: plot super exp cutoff powerlaw 4fgl dr1
   :srcset: /user-guide/model-gallery/spectral/images/sphx_glr_plot_super_exp_cutoff_powerlaw_4fgl_dr1_001.png
   :class: sphx-glr-single-img


.. rst-class:: sphx-glr-script-out

 .. code-block:: none


    (1e-24, 1e-10)



.. GENERATED FROM PYTHON SOURCE LINES 46-49

YAML representation
-------------------
Here is an example YAML file using the model:

.. GENERATED FROM PYTHON SOURCE LINES 49-54

.. code-block:: Python


    model = SkyModel(spectral_model=model, name="super-exp-cutoff-power-law-4fgl-model")
    models = Models([model])

    print(models.to_yaml())




.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    components:
    -   name: super-exp-cutoff-power-law-4fgl-model
        type: SkyModel
        spectral:
            type: SuperExpCutoffPowerLaw4FGLSpectralModel
            parameters:
            -   name: amplitude
                value: 1.0e-12
                unit: cm-2 s-1 TeV-1
            -   name: reference
                value: 1.0
                unit: TeV
            -   name: expfactor
                value: 0.01
            -   name: index_1
                value: 1.0
            -   name: index_2
                value: 2.0
    metadata:
        creator: Gammapy 1.3.dev220+gba260cab0
        date: '2024-04-30T17:07:36.843336'
        origin: null






.. _sphx_glr_download_user-guide_model-gallery_spectral_plot_super_exp_cutoff_powerlaw_4fgl_dr1.py:

.. only:: html

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

    .. container:: binder-badge

      .. image:: images/binder_badge_logo.svg
        :target: https://mybinder.org/v2/gh/gammapy/gammapy-webpage/main?urlpath=lab/tree/notebooks/dev/user-guide/model-gallery/spectral/plot_super_exp_cutoff_powerlaw_4fgl_dr1.ipynb
        :alt: Launch binder
        :width: 150 px

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

      :download:`Download Jupyter notebook: plot_super_exp_cutoff_powerlaw_4fgl_dr1.ipynb <plot_super_exp_cutoff_powerlaw_4fgl_dr1.ipynb>`

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

      :download:`Download Python source code: plot_super_exp_cutoff_powerlaw_4fgl_dr1.py <plot_super_exp_cutoff_powerlaw_4fgl_dr1.py>`


.. only:: html

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

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