  We report on a bistable light transmission through a bilayer "fish-scale"
(meander-line) metamaterial. It is demonstrated that an all-optical switching
may be achieved nearly the frequency of the high-quality-factor Fano-shaped
trapped-mode resonance excitation. The nonlinear interaction of two closely
spaced trapped-mode resonances in the bilayer structure composed with a
Kerr-type nonlinear dielectric slab is analyzed in both frequency and time
domains. It is demonstrated that these two resonances react differently on the
applied intense light which leads to destination of a multistable transmission.
