.. 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_temporal_plot_expdecay_temporal.py:
.. _expdecay-temporal-model:
ExpDecay Temporal Model
=======================
This model parametrises an ExpDecay time model.
.. math::
F(t) = exp(t - t_{ref})/t0
Example plot
------------
Here is an example plot of the model:
.. code-block:: default
from astropy import units as u
from astropy.time import Time
import matplotlib.pyplot as plt
YAML representation
-------------------
Here is an example YAML file using the model:
.. code-block:: default
from gammapy.modeling.models import (
ExpDecayTemporalModel,
Models,
PowerLawSpectralModel,
SkyModel,
)
t0 = "5 h"
t_ref = Time("2020-10-01")
time_range = [t_ref, t_ref + 1 * u.d]
expdecay_model = ExpDecayTemporalModel(t_ref=t_ref.mjd * u.d, t0=t0)
expdecay_model.plot(time_range)
plt.grid(which="both")
model = SkyModel(
spectral_model=PowerLawSpectralModel(),
temporal_model=expdecay_model,
name="expdecay_model",
)
models = Models([model])
print(models.to_yaml())
.. image:: /modeling/gallery/temporal/images/sphx_glr_plot_expdecay_temporal_001.png
:alt: plot expdecay temporal
:class: sphx-glr-single-img
.. rst-class:: sphx-glr-script-out
Out:
.. code-block:: none
/Users/adonath/software/anaconda3/envs/gammapy-dev/lib/python3.7/site-packages/astropy/units/quantity.py:477: RuntimeWarning: overflow encountered in exp
result = super().__array_ufunc__(function, method, *arrays, **kwargs)
/Users/adonath/software/anaconda3/envs/gammapy-dev/lib/python3.7/site-packages/astropy/units/quantity.py:477: RuntimeWarning: invalid value encountered in subtract
result = super().__array_ufunc__(function, method, *arrays, **kwargs)
components:
- name: expdecay_model
type: SkyModel
spectral:
type: PowerLawSpectralModel
parameters:
- name: index
value: 2.0
- name: amplitude
value: 1.0e-12
unit: cm-2 s-1 TeV-1
- name: reference
value: 1.0
unit: TeV
frozen: true
temporal:
type: ExpDecayTemporalModel
parameters:
- name: t0
value: 0.20833333333333331
unit: d
- name: t_ref
value: 59123.0
unit: d
frozen: true
.. _sphx_glr_download_modeling_gallery_temporal_plot_expdecay_temporal.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_expdecay_temporal.py `
.. container:: sphx-glr-download sphx-glr-download-jupyter
:download:`Download Jupyter notebook: plot_expdecay_temporal.ipynb `
.. only:: html
.. rst-class:: sphx-glr-signature
`Gallery generated by Sphinx-Gallery `_