Topology-optimized and dispersion-tailored photonic crystal slow-light devices

We review our work done for topology optimization of passive photonic crystal component parts for broadband and wavelength dependent operations. We show examples of low-loss topology-optimized bends and splitters optimized for broadband transmission and demonstrate the applicability of topology optimization for designing slow-light and/or wavelength selective component parts. We also present how the dispersion of light in the slow-light regime of photonic crystal waveguides can be tailored to obtain filter functionalities in passive devices and/or to obtain semi-slow light having a group velocity in the range similar to(c(0)/15 - c(0)/100); vanishing, positive, or negative group velocity dispersion (GVD); and low-loss propagation in a practical similar to 5-15 nm bandwidth.