Localization in a synthetic photonic lattice with varying coupling ratio

A synthetic photonic lattice (SPL) is a suitable test-bed to study dynamics of one-dimensional photonic mesh lattices. Unlike other realizations of photonic lattices, SPL possesses easy and fast control of optical potential and lattice parameters. Here we consider disordered synthetic photonic lattice with random variation of coupling ratio between the fiber loops in time. We numerically study dynamics of synthetic photonic mesh lattices with the randomly varying coupling ratio and observe that the pulse train circulating within the loops becomes localized next to the initial pulse position, while amplitude distribution has exponential form consistent with Anderson localization theory.