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r"""
.. _expdecay-temporal-model:
ExpDecay temporal model
=======================
This model parametrises an ExpDecay time model.
.. math:: F(t) = \exp \left( \frac{t - t_{\rm{ref}}}{t0} \right)
"""
# %%
# Example plot
# ------------
# Here is an example plot of the model:
from astropy import units as u
from astropy.time import Time
import matplotlib.pyplot as plt
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")
# %%
# YAML representation
# -------------------
# Here is an example YAML file using the model:
model = SkyModel(
spectral_model=PowerLawSpectralModel(),
temporal_model=expdecay_model,
name="expdecay_model",
)
models = Models([model])
print(models.to_yaml())
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