.. 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_gauss_spectral.py:
.. _gaussian-spectral-model:
Gaussian Spectral Model
=======================
This model parametrises a gaussian spectrum.
It is defined by the following equation:
.. math::
\phi(E) = \frac{N_0}{\sigma \sqrt{2\pi}} \exp{ \frac{- \left( E-\bar{E} \right)^2 }{2 \sigma^2} }
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 GaussianSpectralModel, Models, SkyModel
energy_range = [0.1, 100] * u.TeV
model = GaussianSpectralModel(norm="1e-2 cm-2 s-1", mean=2 * u.TeV, sigma=0.2 * u.TeV)
model.plot(energy_range)
plt.grid(which="both")
plt.ylim(1e-24, 1e-1)
.. image:: /modeling/gallery/spectral/images/sphx_glr_plot_gauss_spectral_001.png
:alt: plot gauss spectral
: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="gaussian-model")
models = Models([model])
print(models.to_yaml())
.. rst-class:: sphx-glr-script-out
Out:
.. code-block:: none
components:
- name: gaussian-model
type: SkyModel
spectral:
type: GaussianSpectralModel
parameters:
- name: norm
value: 0.01
unit: cm-2 s-1
- name: mean
value: 2.0
unit: TeV
- name: sigma
value: 0.2
unit: TeV
.. _sphx_glr_download_modeling_gallery_spectral_plot_gauss_spectral.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_gauss_spectral.py `
.. container:: sphx-glr-download sphx-glr-download-jupyter
:download:`Download Jupyter notebook: plot_gauss_spectral.ipynb `
.. only:: html
.. rst-class:: sphx-glr-signature
`Gallery generated by Sphinx-Gallery `_