Open Access
Table A.1
Notation
| Symbol | Description |
|---|---|
| i, j, m | numbering indices |
| (x, y, z) | axis of Cartesian system |
| α | angle of incidence, Fig. 1 |
| β | rotation angle, esp. between north direction and the plane of incidence, ß := ≮(dE, n) |
| γ | exit angle, Fig. 1 |
| (θ, φ) | pair of scattering angles |
| (θobs, φobs) | pair of angles to observer |
| Nθ, Nφ | number of bins along scattering angles |
| ζ | random number |
| υcei1 | “ceiling” value for rejection sampling (maximum probability) |
| P(θ, φ) | probability density function |
| s, s′ | length of photon path through medium |
| ∆sj | length of incremental photon path in cube j |
| ∆ | 104 times the difference of V/I of MCPOL minus the analytical solution by P17 |
| r | position vector in the medium |
| o | symmetry axis of grain along major axis, Fig. 1 |
| k | incoming photon direction, Fig. 1 |
| k′ | outgoing photon direction |
| kobs | photon direction toward observer |
| dN | north direction in the particle frame (plane of incidence) |
| dN,init | initial north direction, Fig. 1 |
| dN,sca | north direction in the plane of scattering before the scattering event, Fig. 1 |
 |
north direction in particle frame (plane of departure), Fig. 1 |
 |
north direction in the plane of scattering, outgoing after scattering process, Fig. 1 |
| dE | east direction |
| n | normal to the plane of incidence |
| n′ | normal to the plane of departure |
| I | intensity |
| I′ | scattered intensity |
| j | anisotropic emissivity |
| Φ | scattering phase function |
| Cext | extinction cross section |
| Csca | scattering cross section |
| Cpol | dichroism cross section |
| Ccpol | circular polarization cross section |
| Csca,pol | polarization scattering cross section |
| Λ | albedo |
| n | density |
| τ | optical depth |
| τout | optical depth from present position to outer cloud boundary |
| S | Stokes vector |
| (I, Q, U, V) | components of Stokes vector S |
| M | 4 × 4 Müller matrices |
| R | rotation matrix |
| Robs | rotation from cell to observer frame |
| Z(k, k′) | scattering matrix |
| K | extinction matrix |
| Ej | dichroism and birefringence matrix |
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.