A Note on the Radiative and Collisional Branching Ratios in Polarized Radiation Transport with Coherent Scattering

Abstract

We discuss the implementation of physically meaningful branching ratios between the CRD and PRD contributions to the emissivity of a polarized multi-term atom in the presence of both inelastic and elastic collisions. Our derivation is based on a recent theoretical formulation of partially coherent scattering, and it relies on a heuristic diagrammatic analysis of the various radiative and collisional processes to determine the proper form of the branching ratios. The expression we obtain for the emissivity is $\epsilon =\left[{\epsilon }^{(1)}-{\epsilon }_{f.s.}^{(2)}\right]+{\epsilon }^{(2)}$, where ${\epsilon }^{(1)}$ and ${\epsilon }^{(2)}$ are the emissivity terms for the redistributed and partially coherent radiation, respectively, and where "f.s." implies that the corresponding term must be evaluated assuming a flat-spectrum average of the incident radiation.

References in corpus (2)

• Magnetic Diagnostics of the Solar Chromosphere with the Mg II h-k Lines
• Frequency Redistribution Function for the Polarized Two-Term Atom

Cited by in corpus (10)

• The magnetic sensitivity of the resonance and subordinate lines of Mg II in the solar chromosphere
• TIC: A Stokes inversion code for scattering polarization with partial frequency redistribution and arbitrary magnetic fields
• Master equation theory applied to the redistribution of polarized radiation in the weak radiation field limit. V. The two-term atom
• Explicit Form of the Radiative and Collisional Branching Ratios in Polarized Radiation Transport with Coherent Scattering
• Tomography of a solar plage with the Tenerife Inversion Code
• The transfer of polarized radiation in resonance lines with partial frequency redistribution, J-state interference, and arbitrary magnetic fields. A radiative transfer code and useful approximations
• Effects of spectral resolution on simple magnetic field diagnostics of the Mg II h & k lines
• Formation of the Mg II h and k polarization profiles in a solar plage model and their suitability to infer magnetic fields
• A numerical approach for modelling the polarisation signals of strong resonance lines with partial frequency redistribution. Numerical applications to two-term atoms and plane-parallel atmospheres
• The magnetic sensitivity of the Ca II resonance and subordinate lines in the solar atmosphere