Note
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Gaussian temporal model#
This model parametrises a gaussian time model.
\[F(t) = \exp \left( -0.5 \cdot \frac{ (t - t_{\rm{ref}})^2 } { \sigma^2 } \right)\]
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 (
GaussianTemporalModel,
Models,
PowerLawSpectralModel,
SkyModel,
)
sigma = "3 h"
t_ref = Time("2020-10-01")
time_range = [t_ref - 0.5 * u.d, t_ref + 0.5 * u.d]
gaussian_model = GaussianTemporalModel(t_ref=t_ref.mjd * u.d, sigma=sigma)
gaussian_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=gaussian_model,
name="gaussian_model",
)
models = Models([model])
print(models.to_yaml())
components:
- name: gaussian_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
temporal:
type: GaussianTemporalModel
parameters:
- name: t_ref
value: 59123.0
unit: d
- name: sigma
value: 3.0
unit: h