  We consider a model for a one-dimensional photonic crystal formed by a
succession of Kerr-type equidistant spaceless interfaces immersed in a linear
medium. We calculate the band structure and reflectance of this structure as a
function of the incident wave intensity, and find two main behaviors: the
appearance of prohibited bands, and the separation and narrowing of these
bands. A system with these features is obtained by alternating very thin slabs
of a soft matter material with thicker solid films, which can be used to design
a device to control light propagation for specific wavelength intervals and
light intensities.
