With
the self-consistent mean-field method in the framework of
full-wave nonlocal scattering theory, we theoretically investigate
the optical bistability in a nonlocal metallic nanocylinder coated
with Kerr-type nonlinear shell. A nonlocality enhanced Fano profile
is found for this coated cylinder in the linear limit. We illustrate
the relation between the linear plasmonic resonant wavelength and
the viable parameters for optical bistability in parameter space.
It is found that nonlocality will lead to impressive blue shift of
the resonant wavelength, and hence dramatically increase the bistable
region in the parameter space of incident wavelength and geometrical
factor. We demonstrate the input-field-controllable and input-wavelength-controllable
scatterings in the nonlinear case, respectively. It indicates that
nonlocal effects show opposite influences on these two nonlinear scattering
processes, and the bistability in the scattering spectrum is weaken
by nonlocality. Our study reveals that these self-tunable optical
resonant scatters can be used as all-optical switches and might provide
flexible possibilities in the design of optical bitable devices.