Here we tabulate Stokes parameter results for plane-parallel atmospheres
with optical thickness unity and larger. We use the same definitions of
Stokes parameters as given by Hovenier and van der Mee (1983) and Hovenier
et al. (2004), to which we refer for a more extensive treatment. These
Stokes parameters are essentially the same as those in Chandrasekhar
(1950) and van de Hulst (1957, 1980). We refer the reader to Natraj and
Hovenier (2011) for computational details and discussions of the tabulated
results.
The results for I, Q and U are tabulated for the following sets of
parameters:
TAU = 1, 2, 4, 8, 16, 32, 64, 100, 128, 256, 512, 1024, Infinity
ALBEDO = 0.0, 0.25, 0.8
MU0 = 0.02, 0.04, 0.06, ..., 0.96, 0.98, 1.00
MU = 0.00, 0.02, 0.04, 0.06, ..., 0.96, 0.98, 1.00
PHI = 0, 30, 60, 90, 120, 150, 180
Here, TAU is the optical thickness; ALBEDO is the ground albedo of an
underlying Lambert surface; MU0 is the absolute value of the cosine of the
angle between the incident beam and the vertical; MU is the absolute value
of the cosine of the angle between the emergent beam and the vertical; PHI
is the relative azimuth angle between the emergent and incident beams,
measured clockwise when looking from bottom to top in the atmosphere.
The files are named as follows:
{I/Q/U}_{UP/DN}_TAU_{1/2/4/8/16/32/64/100/128/256/512/1024}
and
{I/Q/U}_UP_TAU_INFINITY
where the filename has one of each argument inside the parentheses. UP, DN
refer, respectively, to upwelling radiation emerging from the top of the
atmosphere and downwelling radiation emerging from the bottom of the
atmosphere. For infinite optical thickness, there are no downwelling
results since they are all identically zero.
References:
1. Chandrasekhar, S. 1950, Radiative Transfer (Oxford: Clarendon Press)
2. Hovenier, J. W., & van der Mee, C. V. M. 1983, A&A, 128, 1
3. Hovenier, J. W., van der Mee, C. V. M., & Domke, H. 2004, Transfer of
Polarized Light in Planetary Atmospheres (Dordrecht: Kluwer Academic
Publishers)
4. Natraj, V., & Hovenier, J. W. 2011, ApJ, submitted
5. van de Hulst, H. C. 1957, Light Scattering by Small Particles (New
York: Wiley)
6. van de Hulst, H. C. 1980, Multiple Light Scattering (New York: Academic
Press)