Optical properties of a quasiperiodic sequence of directional couplers

The optical transmission properties of a quasiperiodic sequence of two types of directional ($\Delta \beta$) couplers are studied. Under certain resonant conditions, the spatial evolution of the field amplitude is found to be fractal. We also show that the transmission coefficient as a function of phase mismatch $\Delta \beta$ displays scaling with respect to the number of directional couplers in the sequence.