.. DO NOT EDIT. .. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. .. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: .. "modeling/gallery/spectral/plot_super_exp_cutoff_powerlaw_3fgl.py" .. LINE NUMBERS ARE GIVEN BELOW. .. only:: html .. note:: :class: sphx-glr-download-link-note Click :ref:here  to download the full example code .. rst-class:: sphx-glr-example-title .. _sphx_glr_modeling_gallery_spectral_plot_super_exp_cutoff_powerlaw_3fgl.py: .. _super-exp-cutoff-powerlaw-3fgl-spectral-model: 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: .. math:: \phi(E) = \phi_0 \cdot \left(\frac{E}{E_0}\right)^{-\Gamma_1} \exp \left( \left(\frac{E_0}{E_{C}} \right)^{\Gamma_2} - \left(\frac{E}{E_{C}} \right)^{\Gamma_2} \right) .. GENERATED FROM PYTHON SOURCE LINES 19-22 Example plot ------------ Here is an example plot of the model: .. GENERATED FROM PYTHON SOURCE LINES 22-43 .. code-block:: default 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) .. image-sg:: /modeling/gallery/spectral/images/sphx_glr_plot_super_exp_cutoff_powerlaw_3fgl_001.png :alt: plot super exp cutoff powerlaw 3fgl :srcset: /modeling/gallery/spectral/images/sphx_glr_plot_super_exp_cutoff_powerlaw_3fgl_001.png :class: sphx-glr-single-img .. GENERATED FROM PYTHON SOURCE LINES 44-47 YAML representation ------------------- Here is an example YAML file using the model: .. GENERATED FROM PYTHON SOURCE LINES 47-52 .. code-block:: default model = SkyModel(spectral_model=model, name="super-exp-cutoff-power-law-3fgl-model") models = Models([model]) print(models.to_yaml()) .. rst-class:: sphx-glr-script-out Out: .. code-block:: none 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 frozen: true - name: ecut value: 10.0 unit: TeV - name: index_1 value: 1.0 - name: index_2 value: 2.0 .. _sphx_glr_download_modeling_gallery_spectral_plot_super_exp_cutoff_powerlaw_3fgl.py: .. only :: html .. container:: sphx-glr-footer :class: sphx-glr-footer-example .. container:: sphx-glr-download sphx-glr-download-python :download:Download Python source code: plot_super_exp_cutoff_powerlaw_3fgl.py  .. container:: sphx-glr-download sphx-glr-download-jupyter :download:Download Jupyter notebook: plot_super_exp_cutoff_powerlaw_3fgl.ipynb  .. only:: html .. rst-class:: sphx-glr-signature Gallery generated by Sphinx-Gallery _