Fig. B.1

Interpolation method for the full Stokes vector problem. Even with monotonic
Bézier interpolation, the source function of a Stokes component,
e.g. SV (dashed thin) may become
larger than SI (solid thick) in the
range from S0 to S1. The
standard control point
lies far above
(thin plus signs, both defined by two tangents given by thin dotted lines) owing
to the different curvatures of the source function parabolas. To prevent these
situations, we chose the control point for the Stokes V
component (
,
thick plus sign), according to
.
Our
is defined by the ratio
(with x equal to I or V),
which has to be constant. This choice prevents the source function integrals of
the Stokes components from becoming larger than those of
Stokes I.
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