  We examine localization of light in nonlinear (Kerr) kagome lattices in the
shape of narrow strips of varying width. For the narrowest ribbon, the band
structure features a flat band leading to linear dynamical trapping of an
initially localized excitation. We also find a geometry-induced bistability of
the nonlinear modes as the width of the strip is changed. A crossover from one
to two dimensions localization behavior is observed as the width is increased,
attaining two-dimensional behavior for relatively narrow ribbons.

Pattern Formation and Solitons