  We study the propagation and scattering of electromagnetic waves by random
arrays of dipolar cylinders in a uniform medium. A set of self-consistent
equations, incorporating all orders of multiple scattering of the
electromagnetic waves, is derived from first principles and then solved
numerically for electromagnetic fields. For certain ranges of frequencies,
spatially localized electromagnetic waves appear in such a simple but realistic
disordered system. Dependence of localization on the frequency, radiation
damping, and filling factor is shown. The spatial behavior of the total,
coherent and diffusive waves is explored in detailed, and found to be comply
with a physical intuitive picture. A phase diagram characterizing localization
is presented, in agreement with previous investigations on other systems.
