  Co-existence and interplay between mesoscopic light dynamics with singular
optics in spatially random but temporally coherent disordered waveguide
lattices is reported. Two CW light beams of 1.55 micron operating wavelength
are launched as inputs to 1D waveguide lattices with controllable weak disorder
in refractive index profile. Direct observation of phase singularities in the
speckle pattern along the length is numerically demonstrated. Quantitative
analysis of onset of such singular behavior and diffusive wave propagation is
analyzed for the first time.
