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Gaussian Spectral Model

This model parametrises a gaussian spectrum.

It is defined by the following equation:

$$\phi(E) = \frac{N_0}{\sigma \sqrt{2\pi}} \exp{ \frac{- \left( E-\bar{E} \right)^2 }{2 \sigma^2} }$$

Example plot

Here is an example plot of the model:

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)

YAML representation

Here is an example YAML file using the model:

model = SkyModel(spectral_model=model, name="gaussian-model")
models = Models([model])

print(models.to_yaml())

Out:

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