We use the analogy with the transmission properties of the random dime
r system to model a system of random monolayers and study the transmis
sion of light for different disorder strengths. We show the existence
of unity resonant transmission peaks, corresponding to extended modes,
controlled by the thickness of the layers. These peaks become narrowe
r if we increase the refractive index of the impurity layers or their
number. The very high resolution of the transmitted light leads us to
discuss the possibility of making high quality light filtering devices
based on such a layered system. (C) 1997 Elsevier Science B.V.