Analysis of optical-signal processing using an arrayed-waveguide grating

We analyzed optical-signal processing based on time-space conversion in an arrayed-waveguide grating (AWG). General expressions for the electric field s needed to design frequency filters were obtained. We took into account th e effects of the waveguides and clearly distinguished the temporal frequenc y axis from the spatial axis at the focal plane, at which frequency filters were placed. Using the analytical results, we identified the factors limit ing the input-pulse width and clarified the windowing effect and the effect of phase fluctuation in the arrayed waveguide. (C) 2000 Optical Society of America.