Commit 0501adce6e3e298065f4907ef3ef45789d793db4
1 parent
a364fd37
Correct spectral unit information for diffuse constant source in user manual (#1557)
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doc/source/users/user_manual/modules/model.rst
| @@ -82,27 +82,32 @@ morphology of the source. | @@ -82,27 +82,32 @@ morphology of the source. | ||
| 82 | It satisfies | 82 | It satisfies |
| 83 | 83 | ||
| 84 | .. math:: | 84 | .. math:: |
| 85 | - \int_{\Omega} M_{\rm spatial}(\alpha,\delta|E,t) d\Omega = 1 | 85 | + \int_{\Omega} M_{\rm spatial}(\alpha,\delta|E,t) \, d\Omega = 1 |
| 86 | 86 | ||
| 87 | for all :math:`E` and :math:`t`, hence the spatial component does not | 87 | for all :math:`E` and :math:`t`, hence the spatial component does not |
| 88 | impact the spatially integrated spectral and temporal properties of the | 88 | impact the spatially integrated spectral and temporal properties of the |
| 89 | source (the integration is done here over the spatial parameters | 89 | source (the integration is done here over the spatial parameters |
| 90 | :math:`\alpha` and :math:`\delta` in a spherical coordinate system). | 90 | :math:`\alpha` and :math:`\delta` in a spherical coordinate system). |
| 91 | +The units of the spatial model component are | ||
| 92 | +:math:`[M_{\rm spatial}] = {\rm sr}^{-1}`. | ||
| 91 | 93 | ||
| 92 | The spectral model component describes the spatially integrated time | 94 | The spectral model component describes the spatially integrated time |
| 93 | dependent spectral distribution of the source. | 95 | dependent spectral distribution of the source. |
| 94 | It satisfies | 96 | It satisfies |
| 95 | 97 | ||
| 96 | .. math:: | 98 | .. math:: |
| 97 | - \int_{E} M_{\rm spectral}(E | t) dE = \Phi | 99 | + \int_{E} M_{\rm spectral}(E | t) \, dE = \Phi |
| 98 | 100 | ||
| 99 | for all :math:`t`, where :math:`\Phi` is the spatially and spectrally | 101 | for all :math:`t`, where :math:`\Phi` is the spatially and spectrally |
| 100 | integrated total source flux. The spectral component does not impact | 102 | integrated total source flux. The spectral component does not impact |
| 101 | the temporal properties of the integrated flux :math:`\Phi`. | 103 | the temporal properties of the integrated flux :math:`\Phi`. |
| 104 | +The units of the spectral model component | ||
| 105 | +are :math:`[M_{\rm spectral}] = {\rm cm}^{-2} {\rm s}^{-1} {\rm MeV}^{-1}`. | ||
| 102 | 106 | ||
| 103 | The temporal model component describes the relative variation of the | 107 | The temporal model component describes the relative variation of the |
| 104 | source flux with respect to the mean value given by the spectral model | 108 | source flux with respect to the mean value given by the spectral model |
| 105 | component. | 109 | component. |
| 110 | +The temporal model component is unit less. | ||
| 106 | 111 | ||
| 107 | 112 | ||
| 108 | Spatial components | 113 | Spatial components |
| @@ -383,9 +388,6 @@ differential flux values. | @@ -383,9 +388,6 @@ differential flux values. | ||
| 383 | The energy values are assumed to be in units of MeV, the flux values are | 388 | The energy values are assumed to be in units of MeV, the flux values are |
| 384 | normally assumed to be in units of | 389 | normally assumed to be in units of |
| 385 | :math:`{\rm cm}^{-2} {\rm s}^{-1} {\rm MeV}^{-1}`. | 390 | :math:`{\rm cm}^{-2} {\rm s}^{-1} {\rm MeV}^{-1}`. |
| 386 | -The only exception to this rule is the isotropic diffuse model | ||
| 387 | -:doxy:`GModelSpatialDiffuseConst` for which the flux values are given | ||
| 388 | -in units of :math:`{\rm cm}^{-2} {\rm s}^{-1} {\rm MeV}^{-1} {\rm sr}^{-1}`. | ||
| 389 | 391 | ||
| 390 | The only parameter of the model is a multiplicative normalization: | 392 | The only parameter of the model is a multiplicative normalization: |
| 391 | 393 |