ray_path_spectral_radiance_sourceFromPropmat

Workspace.ray_path_spectral_radiance_sourceFromPropmat(self, ray_path_spectral_radiance_source: pyarts3.arts.ArrayOfStokvecVector | None = None, ray_path_spectral_radiance_source_jacobian: pyarts3.arts.ArrayOfStokvecMatrix | None = None, ray_path_propagation_matrix: pyarts3.arts.ArrayOfPropmatVector | None = None, ray_path_propagation_matrix_source_vector_nonlte: pyarts3.arts.ArrayOfStokvecVector | None = None, ray_path_propagation_matrix_jacobian: pyarts3.arts.ArrayOfPropmatMatrix | None = None, ray_path_propagation_matrix_source_vector_nonlte_jacobian: pyarts3.arts.ArrayOfStokvecMatrix | None = None, ray_path_frequency_grid: pyarts3.arts.ArrayOfAscendingGrid | None = None, ray_path_atmospheric_point: pyarts3.arts.ArrayOfAtmPoint | None = None, jacobian_targets: pyarts3.arts.JacobianTargets | None = None) → None

Gets the source term along the path.

Per Stokvec element (single frequency, single temperature, single derivative target), the source term is computed as:

\[\vec{J} = B(T, f) + \mathbf{K}^{-1} \vec{S}\]

and the Jacobian is computed as:

\[\frac{\partial \vec{J}}{\partial x} = \frac{\partial B(T, f)}{\partial x} - \mathbf{K}^{-1} \left( \frac{\partial \mathbf{K}}{\partial x} \mathbf{K}^{-1} - \frac{\partial \vec{S}}{\partial x} \right)\]

where:

Variable	Extracted from ARTS parameter	Meaning
\(\vec{J}\)	ray_path_spectral_radiance_source	The spectral radiance source term along the path.
\(B(T, f)\)	None - this is computed locally	The Planck function at the temperature and frequency.
\(\mathbf{K}\)	ray_path_propagation_matrix	The propagation matrix along the path.
\(\vec{S}\)	ray_path_propagation_matrix_source_vector_nonlte	The non-LTE source vector along the path.
\(\frac{\partial \vec{J}}{\partial x}\)	ray_path_spectral_radiance_source_jacobian	The Jacobian of the spectral radiance source term with respect to the jacobian_targets.
\(\frac{\partial B(T, f)}{\partial x}\)	None - this is computed locally	The Jacobian of the Planck function with respect to the jacobian_targets. Only tempertature is supported.
\(\frac{\partial \mathbf{K}}{\partial x}\)	ray_path_propagation_matrix_jacobian	The Jacobian of the propagation matrix with respect to the jacobian_targets.
\(\frac{\partial \vec{S}}{\partial x}\)	ray_path_propagation_matrix_source_vector_nonlte_jacobian	The Jacobian of the non-LTE source vector with respect to the jacobian_targets.
\(x\)	jacobian_targets	The targets for the Jacobian computation.
\(T\)	ray_path_atmospheric_point	The temperature at the atmospheric point along the path.
\(f\)	ray_path_frequency_grid	The frequency grid at the atmospheric point along the path.

The output dimensions are:

• ray_path_spectral_radiance_source: ray_path x frequency_grid

• ray_path_spectral_radiance_source_jacobian: ray_path x frequency_grid x jacobian_targets (target count)

Author: Richard Larsson

Used by wrapper methods

spectral_radianceClearskyEmission() spectral_radianceClearskyRayleighScattering()

Parameters:

• ray_path_spectral_radiance_source (ArrayOfStokvecVector, optional) – Source vectors along the propagation path. See ray_path_spectral_radiance_source, defaults to self.ray_path_spectral_radiance_source [OUT]

• ray_path_spectral_radiance_source_jacobian (ArrayOfStokvecMatrix, optional) – Source derivative vectors along the propagation path. See ray_path_spectral_radiance_source_jacobian, defaults to self.ray_path_spectral_radiance_source_jacobian [OUT]

• ray_path_propagation_matrix (ArrayOfPropmatVector, optional) – Propagation matrices along the propagation path. See ray_path_propagation_matrix, defaults to self.ray_path_propagation_matrix [IN]

• ray_path_propagation_matrix_source_vector_nonlte (ArrayOfStokvecVector, optional) – Additional non-LTE along the propagation path. See ray_path_propagation_matrix_source_vector_nonlte, defaults to self.ray_path_propagation_matrix_source_vector_nonlte [IN]

• ray_path_propagation_matrix_jacobian (ArrayOfPropmatMatrix, optional) – Propagation derivative matrices along the propagation path. See ray_path_propagation_matrix_jacobian, defaults to self.ray_path_propagation_matrix_jacobian [IN]

• ray_path_propagation_matrix_source_vector_nonlte_jacobian (ArrayOfStokvecMatrix, optional) – Additional non-LTE derivative along the propagation path. See ray_path_propagation_matrix_source_vector_nonlte_jacobian, defaults to self.ray_path_propagation_matrix_source_vector_nonlte_jacobian [IN]

• ray_path_frequency_grid (ArrayOfAscendingGrid, optional) – All frequency_grid along the propagation path. See ray_path_frequency_grid, defaults to self.ray_path_frequency_grid [IN]

• ray_path_atmospheric_point (ArrayOfAtmPoint, optional) – Atmospheric points along the propagation path. See ray_path_atmospheric_point, defaults to self.ray_path_atmospheric_point [IN]

• jacobian_targets (JacobianTargets, optional) – A list of targets for the Jacobian Matrix calculations. See jacobian_targets, defaults to self.jacobian_targets [IN]