In recent decades, photonics crystal (PhC), because of its fundamental significance and promising optical performance, has attracted more and more research effort around the world. The ultraconfinement of light in a PhC nanocavity structure in the subwavelength scale, typically in orders, enables the existence of very high quality factor optical localized resonances.1 Such high confinement of energy in a small volume enables a variety of scientific and engineering applications, such as high-sensitivity sensors,2 3. 4. – 5 ultracompact filters,6 7. 8. – 9 fast modulators,10 low-power all-optical switches,11 and tunable optical resonators.12,13 By extending the cavity defect in the PhC to a line defect of missing air holes, a PhC waveguide is created and works in the slow-light regime.14 The PhC waveguide allows the propagation of certain wavelengths of light which are confined by total internal reflection and Bragg reflection in the lateral direction. However, the PhC waveguide slows down the light traveling speed and results in a strong localized electrical field. By employing optical dispersion engineering to address the loss limitation feature of the slow light, it enables slow-light designs to play a key role in all-optical circuit-related applications, such as all-optical storage, switching, and data regeneration in telecommunications. Slow light also enhances the nonlinear optical effect in the PhC waveguide, as the intensity scales with the slowdown factor.15,16 The strong localized electric field of the slow-light region also enables and enhances liquid and gas sensing.17,18 High-order dispersion usually occurs and distorts the optical signals in the case of devices having a long optical path. To eliminate such distortion, several zero-dispersion devices were developed.19 20. 21. 22. – 23 Moreover, a coupled-resonator optical waveguide based on PhC cavities or microrings can also help in compensation of the slow-light device distortions.24,25