Figure 3
From: Polarization shaping of Poincaré beams by polariton oscillations

Dynamics of polarization on the Poincaré sphere (theory). The green arrows, defined by the angles θα and θβ, fix the circle of polarization in absence of decay () by intersecting the meridian of azimuthal angle φα. The red arrow, defined by the angle
, fixes the point of long-time polarization. In presence of decay,
, the trajectory of the polarization, in blue, drifts from the green circle to the red final point. (a) Span of the northern hemisphere of the Poincaré sphere in circular polarization, by setting
,
, and
with
. (b) Span of the full Poincaré sphere from the antidiagonal to the diagonal pole, by setting
,
, and
for
. (c) Span of the Poincaré sphere excluding a spherical cap of antidiagonal polarization, by setting
,
, and
. (d) Distorted spanning of the sphere by choosing close initial and final points, by setting
,
, and Φα = π/2. Parameters common to all cases: blue trajectories with
and the purple trajectory with
.