Panel (a) schematizes
the spin–orbit coupling mechanism
at play through a planar chiral polymer system, here conceptually
represented by a 2D spiral. Planar (2D) chirality (in its most general
form, that is without any rotational invariance, see ref (1)) is characterized by circular
polarization conversions that depend on the direction of the probe
beam transmitted through the spiral. Panel (b) illustrates the breaking
of left- vs right-handed polarization in a Fabry–Perot cavity
composed of two usual metallic mirrors but enclosing a 2D chiral medium.
Panel (c) describes how a planar chiral system viewed under oblique
illumination yields signatures of 3D chirality (i.e., circular dichroism).
Two opposite ± θ oblique illumination angles are connected
by a simple mirror symmetry in the (x, y) plane and this corresponds to the sequence of transformations detailed
as the succession of a flip (a C2 rotation
along the y-axis) and of a mirror reflection with
respect to the (x, z) plane. The
result of this sequence is to show, as detailed in the main text,
that the optical activity associated with this extrinsic 3D chirality
induced on the planar chiral system at oblique illumination is reversed
for opposite incidence angles ± θ.