Note

Go to the end to download the full example code. or to run this example in your browser via Binder

Broken power law spectral model#

This model parametrises a broken power law spectrum.

It is defined by the following equation:

\begin{array}{r} ϕ (E) = ϕ_{0} \cdot {\begin{cases} {(\frac{E}{E_{b r e a k}})}^{- Γ 1} & if E < E_{b r e a k} \\ {(\frac{E}{E_{b r e a k}})}^{- Γ 2} & otherwise \end{cases} \end{array}

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 BrokenPowerLawSpectralModel, Models, SkyModel

energy_bounds = [0.1, 100] * u.TeV
model = BrokenPowerLawSpectralModel(
    index1=1.5,
    index2=2.5,
    amplitude="1e-12 TeV-1 cm-2 s-1",
    ebreak="1 TeV",
)
model.plot(energy_bounds)
plt.grid(which="both")

YAML representation#

Here is an example YAML file using the model:

model = SkyModel(spectral_model=model, name="broken-power-law-model")
models = Models([model])

print(models.to_yaml())

components:
-   name: broken-power-law-model
    type: SkyModel
    spectral:
        type: BrokenPowerLawSpectralModel
        parameters:
        -   name: index1
            value: 1.5
        -   name: index2
            value: 2.5
        -   name: amplitude
            value: 1.0e-12
            unit: cm-2 s-1 TeV-1
        -   name: ebreak
            value: 1.0
            unit: TeV
metadata:
    creator: Gammapy 1.3
    date: '2024-11-26T10:08:50.757021'
    origin: null

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