Abstract:
In the previous paper of this series (Anusha & Nagendra 2010), we presented a formula-
tion of the polarized radiative transfer equation for resonance scattering with partial frequency
redistribution (PRD) in multi-dimensional media for a two-level atom model with unpolarized
ground level, using the irreducible spherical tensors T K
Q (i,
) for polarimetry. We also presented
a polarized approximate lambda iteration (PALI) method to solve this equation using the Jacobi
iteration scheme. The formal solution used was based on a simple finite volume technique.
In this paper, we develop a faster and more efficient method which uses the projection tech-
niques applied to the radiative transfer equation (the Stabilized Preconditioned Bi-Conjugate
Gradient method). We now use a more accurate formal solver, namely the well known 2D (two
dimensional) short characteristics method.
Using the numerical method developed in Anusha & Nagendra (2010), we can consider only
simpler cases of finite 2D slabs due to computational limitations. Using the method developed
in this paper we could compute PRD solutions in 2D media, in the more difficult context of
semi-infinite 2D slabs as well. We present several solutions which may serve as benchmarks in
future studies in this area.
