A general polarimetric model for transiting and nontransiting ringed exoplanets

Open Access

Table 1

Values and formulae of a_n.

Spangle state	a_n
No occultation or shadow	0.0
Occultation	1/ cos θ^r
Shadow	$1 / \cos θ_{0}^{r}$ $1/\cos \theta _0^{\rm{r}}$
Occultation and shadow	$1 / \cos θ^{r} + 1 / \cos θ_{0}^{r}$ $1/\cos {\theta ^{\rm{r}}} + 1/\cos \theta _0^{\rm{r}}$

Notes. Used to calculate the Stokes vector reflected in the planet (Equation (8)) according to the state of the spangle. The formulae $θ_{0}^{r}$ $\theta _0^{\rm{r}}$ and θ^r include the illumination and viewing angles as measured with respect to the normal to the spangle, respectively.

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