We present a multiple scattering vector radiative transfer model which
produces disk integrated, full phase polarized light curves for reflected light
from an exoplanetary atmosphere. We validate our model against results from
published analytical and computational models and discuss a small number of
cases relevant to the existing and possible near-future observations of the
exoplanet HD 189733b. HD 189733b is arguably the most well observed exoplanet
to date and the only exoplanet to be observed in polarized light, yet it is
debated if the planet's atmosphere is cloudy or clear. We model reflected light
from clear atmospheres with Rayleigh scattering, and cloudy or hazy atmospheres
with Mie and fractal aggregate particles. We show that clear and cloudy
atmospheres have large differences in polarized light as compared to simple
flux measurements, though existing observations are insufficient to make this
distinction. Futhermore, we show that atmospheres that are spatially
inhomogeneous, such as being partially covered by clouds or hazes, exhibit
larger contrasts in polarized light when compared to clear atmospheres. This
effect can potentially be used to identify patchy clouds in exoplanets. Given a
set of full phase polarimetric measurements, this model can constrain the
geometric albedo, properties of scattering particles in the atmosphere and the
longitude of the ascending node of the orbit. The model is used to interpret
new polarimetric observations of HD 189733b in a companion paper.Comment: 13 pages, 13 figures. Accepted for publication in Ap
