New Analytical Arrayed Waveguide Grating Model

An analytical model of star couplers in arrayed waveguide gratings (AWG) is derived. By retaining the real 1-D mode shapes, the model is able to calculate the star coupler response to fundamental modes, as well as higher order modes. This is desirable for modeling passband flattened AWGs. The model can calculate the response of an AWG very fast, because no numerical root finding or integral calculation is involved. This allows it to be used in circuit level simulations.