Localization of electromagnetic waves in two-dimensional
disordered systems
M. M. Sigalas , C. M. Soukoulis , C.-T. Chan , D. Turner
Physical Review B: Condensed Matter Vol. 53, No. 13, 8340-8348 (01 April 1996).
We calculate the average transmission for s- and p-
polarized electromagnetic (EM) waves and consequently the localization
length of two-dimensional (2D) disordered systems which are periodic on
the average; the periodic systems form a square lattice consisting of
infinitely long cylinders parallel to each other and embedded in a
different dielectric medium. In particular, we study the dependence of
the localization length on the frequency, the dielectric function ratio
between the scatterer and the background, and the filling ratio of the
scatterer. We find that the gaps of the s-polarized waves can sustain a
higher amount of disorder than those of the p-polarized waves, due to
the fact that the gaps of the s-polarized waves are wider than those of
the p-polarized waves. For high frequencies, the gaps of both types of
waves easily disappear, the localization length is constant and it can
take very small values. The optimum conditions for obtaining
localization of EM waves in 2D systems will be discussed.
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