Nonlinear light propagation in fractal waveguide arrays

We experimentally and numerically study nonlinear light propagation in a fractal waveguide array. We consider a nested set of periodic arrays and examine energy transport as a function of band structure, nonlinearity, and probe beam geometry. Experimentally, we observe the behavior directly by recording intensity in position space and power spectra in momentum space. The results are fundamental to nonlinear wave dynamics in self-similar structures and hold potential to improve the efficiency and sensitivity of fractal photonic devices.