Super exponential cutoff power law model used for 3FGL#

This model parametrises super exponential cutoff power-law model spectrum used for 3FGL.

It is defined by the following equation:

ϕ(E)=ϕ0(EE0)Γ1exp((E0EC)Γ2(EEC)Γ2)

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 (
    Models,
    SkyModel,
    SuperExpCutoffPowerLaw3FGLSpectralModel,
)

energy_bounds = [0.1, 100] * u.TeV
model = SuperExpCutoffPowerLaw3FGLSpectralModel(
    index_1=1,
    index_2=2,
    amplitude="1e-12 TeV-1 s-1 cm-2",
    reference="1 TeV",
    ecut="10 TeV",
)
model.plot(energy_bounds)
plt.grid(which="both")
plt.ylim(1e-24, 1e-10)
plot super exp cutoff powerlaw 3fgl
(1e-24, 1e-10)

YAML representation#

Here is an example YAML file using the model:

model = SkyModel(spectral_model=model, name="super-exp-cutoff-power-law-3fgl-model")
models = Models([model])

print(models.to_yaml())
components:
-   name: super-exp-cutoff-power-law-3fgl-model
    type: SkyModel
    spectral:
        type: SuperExpCutoffPowerLaw3FGLSpectralModel
        parameters:
        -   name: amplitude
            value: 1.0e-12
            unit: cm-2 s-1 TeV-1
        -   name: reference
            value: 1.0
            unit: TeV
        -   name: ecut
            value: 10.0
            unit: TeV
        -   name: index_1
            value: 1.0
        -   name: index_2
            value: 2.0
metadata:
    creator: Gammapy 1.2
    date: '2024-02-29T10:21:57.641743'
    origin: null

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