Design of arrayed-waveguide gratings using hybrid Fourier-Fresnel transform techniques

We describe how transform techniques may be applied to the design of arraye d-waveguide gratings (AWG's), A hybrid Fourier-Fresnel transform model indi cates that a flat AWG router passband over 30% of the device free-spectral range (FSR) is:feasible. Minimized passband ripple is achieved by applying a subparabolic phase-profile (phase-exponent P = 1.82) to the Fourier plane of the AWG, Simulations of a complex-apodized AWG with passband 3-dB width increased from 1 to 12 nm, with a near-trapezoidal amplitude response, and bandedge group delay of 70 ps reduced to 10 ps are presented for a device with a FSR of 40 nm.