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Photons in optical networks can be used in multi-path interferometry andvarious quantum information processing and communication protocols. Largenetworks, however, are often not free from defects, which can appear randomlybetween the lattice sites and are caused either by production faults ordeliberate introduction. In this work we present numerical simulations of thebehaviour of a single photon injected into a regular lattice of beam-splittingcomponents in the presence of defects that cause perfect backward reflections.We find that the photon dynamics is quickly dominated by the backscatteringprocesses, and a small fraction of reflectors in the paths of thebeam-splitting array strongly affects the percolation probability of thephoton. We carefully examine such systems and show an interesting interplaybetween the probabilities of percolation, backscattering and temporarylocalization. We also discuss the sensitivity of these probabilities to latticesize, timescale, injection point, fraction of reflectors and boundaryconditions.

Single photons in an imperfect array of beam-splitters: Interplay between percolation, backscattering and transient localization