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 fields needed to design frequency filters were obtained. We took into account the effects of the waveguides and clearly distinguished the temporal frequency axis from the spatial axis at the focal plane where the frequency filters were placed. Using the analytical results, we clarified what limits the input pulse width as well as the windowing effect, the effect of phase fluctuation in the arrayed waveguide.