  Focal conic domains (FCDs) in smectic-A liquid crystals have drawn much
attention both for their exquisitely structured internal form and for their
ability to direct the assembly of micro- and nanomaterials in a variety of
patterns. A key to directing FCD assembly is control over the eccentricity of
the domain. Here, we demonstrate a new paradigm for creating spatially varying
FCD eccentricity by confining a hybrid-aligned smectic with curved interfaces.
In particular, we manipulate interface behavior with colloidal particles in
order to experimentally produce two examples of what has recently been dubbed
the flower texture, where the focal hyperbolae diverge radially outward from
the center of the texture, rather than inward as in the canonical eventail or
fan texture. We explain how this unconventional assembly can arise from
appropriately curved interfaces. Finally, we present a model for this system
that applies the law of corresponding cones, showing how FCDs may be embedded
smoothly within a "background texture" of large FCDs and concentric spherical
layers, in a manner consistent with the qualitative features of the smectic
flower. Such understanding could potentially lead to disruptive liquid crystal
technologies beyond displays, including patterning, smart surfaces, microlens
arrays, sensors and nanomanufacturing.
