  We study the phase diagram of director structures in cholesteric liquid
crystals of negative dielectric anisotropy in homeotropic cells of thickness d
which is smaller than the cholesteric pitch p. The basic control parameters are
the frustration ratio d/p and the applied voltage U. Fluorescence Confocal
Polarising Microscopy allows us to directly and unambiguously determine the 3-D
director structures. The results are of importance for potential applications
of the cholesteric structures, such as switchable gratings and eyewear with
tunable transparency based.
