Figotin A., Klein A.
Localization of Light in Lossless Inhomogeneous Dielectrics
(745K, Postscript)

ABSTRACT.  The phenomenon of localization of electromagnetic waves in losless
inhomogeneous dielectric media is studied. We consider a three dimensional
lossless periodic medium (photonic crystal) having a gap in the frequency
spectrum (photonic band gap). If such a medium is perturbed by either a
single defect or a random array of defects, exponentially localized
electromagnetic waves arise with frequencies in the gap. For a single 
defect we derive equations for these midgap frequencies, and estimate
their number. For a random medium we show the existence of the phenomenon
of Anderson localization for electromagnetic waves.