Since it was firstly illustrated by the pronounced prism experiment of Isaac Newton, the chromatic dispersions in light matter interaction have been extensively explored. It is generally thought that the dispersion of materials introduces a significant wavelength dependence of the group velocity, leading to undesired signal distortion in communications system, chromatic aberration in imaging system and limited bandwidth of optical devices. However, if dispersions can be properly controlled, they will play a significant role in many applications. For example, dispersion management will suppress the nonlinearities of fiber dense wavelength division multiplexing (DWDM) system and the soliton propagation. Chromatic aberration can be corrected approximately by using materials that exhibit complementary dispersion. Nevertheless, because the dispersion of natural materials is determined by the electronic and molecular energy levels, traditional dispersion management technologies are cumbersome and cannot be required in integrated optics.