.. only:: html
.. note::
:class: sphx-glr-download-link-note
Click :ref:`here ` to download the full example code
.. rst-class:: sphx-glr-example-title
.. _sphx_glr_modeling_gallery_spectral_plot_super_exp_cutoff_powerlaw_3fgl.py:
.. _super-exp-cutoff-powerlaw-3fgl-spectral-model:
Super Exponential Cutoff Power Law Model used for 3FGL
======================================================
This model parametrises super exponential cutoff power-law model spectrum used for 3FGL.
It is defined by the following equation:
.. math::
\phi(E) = \phi_0 \cdot \left(\frac{E}{E_0}\right)^{-\Gamma_1}
\exp \left( \left(\frac{E_0}{E_{C}} \right)^{\Gamma_2} -
\left(\frac{E}{E_{C}} \right)^{\Gamma_2}
\right)
Example plot
------------
Here is an example plot of the model:
.. code-block:: default
from astropy import units as u
import matplotlib.pyplot as plt
from gammapy.modeling.models import (
Models,
SkyModel,
SuperExpCutoffPowerLaw3FGLSpectralModel,
)
energy_range = [0.1, 100] * u.TeV
model = SuperExpCutoffPowerLaw3FGLSpectralModel(
index_1=1,
index_2=2,
amplitude="1e-12 TeV-1 s-1 cm-2",
reference="1 TeV",
ecut="10 TeV",
)
model.plot(energy_range)
plt.grid(which="both")
plt.ylim(1e-24, 1e-10)
.. image:: /modeling/gallery/spectral/images/sphx_glr_plot_super_exp_cutoff_powerlaw_3fgl_001.png
:alt: plot super exp cutoff powerlaw 3fgl
:class: sphx-glr-single-img
YAML representation
-------------------
Here is an example YAML file using the model:
.. code-block:: default
model = SkyModel(spectral_model=model, name="super-exp-cutoff-power-law-3fgl-model")
models = Models([model])
print(models.to_yaml())
.. rst-class:: sphx-glr-script-out
Out:
.. code-block:: none
components:
- name: super-exp-cutoff-power-law-3fgl-model
type: SkyModel
spectral:
type: SuperExpCutoffPowerLaw3FGLSpectralModel
parameters:
- name: amplitude
value: 1.0e-12
unit: cm-2 s-1 TeV-1
- name: reference
value: 1.0
unit: TeV
frozen: true
- name: ecut
value: 10.0
unit: TeV
- name: index_1
value: 1.0
- name: index_2
value: 2.0
.. _sphx_glr_download_modeling_gallery_spectral_plot_super_exp_cutoff_powerlaw_3fgl.py:
.. only :: html
.. container:: sphx-glr-footer
:class: sphx-glr-footer-example
.. container:: sphx-glr-download sphx-glr-download-python
:download:`Download Python source code: plot_super_exp_cutoff_powerlaw_3fgl.py `
.. container:: sphx-glr-download sphx-glr-download-jupyter
:download:`Download Jupyter notebook: plot_super_exp_cutoff_powerlaw_3fgl.ipynb `
.. only:: html
.. rst-class:: sphx-glr-signature
`Gallery generated by Sphinx-Gallery `_