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Tuning the longitudinal dispersion and angular dispersion of photonic crystals

In this paper, we review some of our works on tuning the slow-light effect and superprism effect in photonic crystals from a synergistic perspective. The dispersive effects in a generic photonic crystal structure are classified into the longitudinal dispersion and angular dispersion according to their orientations with respect to the direction of light propagation. The slow-light effect originates from the longitudinal dispersion whereas the superprism effect originates primarily from the angular dispersion. The ability to tune these two categories of dispersive effects leads to several interesting topics of photonic crystal research, including slow-light photonic crystal modulators and superprism demultiplexers and sensors. We will discuss commonality and difference between the tunings of these two effects.