C. Oldano et M. Rajteri, OPTICAL-ACTIVITY OF SMALL-PITCH HELICAL-SHAPED DIELECTRIC MEDIA, Physical review. B, Condensed matter, 54(15), 1996, pp. 10273-10276
A chiral smectic liquid crystal is considered, made of elongated molec
ules whose directions describe a helix along a given direction. It is
shown that for small values of the helix pitch it behaves as a homogen
eous medium which is optically active and uniaxial, with maximum rotat
ory power for light propagating orthogonally to the helix axis. Analyt
ic expressions are given to describe the gyrotropic properties of the
medium. The analogies with other helical-shaped structures are discuss
ed.