Field distribution inside one-dimensional random photonic lattices

The electromagnetic field distribution inside a one-dimensional random photonic lattice has been studied by using the transfer matrix method. We have considered incident waves at frequencies both within and outside the photonic bandgap. It is shown that in the vicinity of a Bragg remnant frequency, a random photonic lattice manifests a local maximum of the field intensity ensemble average inside the structure. The width of this maximum is much larger than a unit cell of the lattice.