Slow Light In The SCISSOR Structure Of Two-dimensional Photonic Crystal

Photonic crystal has two important properties, photonic band gap and defect states, and only the light which corresponds to the defect states can propagate in the photonic crystal, so it has a very wide range of applications. As a part of application area of photonic crystal, slow light has a very important position and has many applications in the upcoming all-optical network era, such as optical storage, optical switching and optical buffering. Therefore, the generation of high-performance slow light is the key to achieve all-optical communication in the future.In this paper, we used a new SCISSOR (Side-Coupled Integrated Spaced Sequence Of Resonators) structure made by photonic crystal to achieve slow light, and also deduced the theory such as group refractive, bandwidth, delay-bandwidth product, dispersion and nonlinear response in it. According to these theories, we then calculated the slow light characteristics in the ofs including the group velocity, bandwidth and delay bandwidth product, and summarized the characteristics when using this structure to achieve slow light by these results. Finally, we discussed the design of photonic crystal SCISSOR structure.The innovation of our paper is that we use the SCISSOR structure of photonic crystal to achieve slow light considering the structural characteristics of photonic crystals, and find that this structural can get lager delay-bandwidth than the general dielectric waveguides when realizing slow light. Calculations show that the delay-bandwidth of slow light can reach to 1829 (nine times than the SCISSOR structure of ordinary dielectric waveguide) in a 1cm length of photonic crystal SCISSOR structure, and the group refractive index is 29 and bandwidth is 1939.5GHz respectively. In the famous paper "Slow Light in Photonic Crystals" published in Nature Photonics by T.Baba, he used lm length to calculate the delay-bandwidth in photonic crystals, and got DBP=64000. According to this length, we can get DBP= 182900 in the photonic crystal SCISSOR structure, which is 2.85 times than T.Baba's. At the background of the delay-bandwidth can not be further increased when realizing slow light, our results certainly make some sense. In addition, the paper does a detailed analysis on the design relationship of slow light and photonic crystal structure by calculating the transmission of photonic crystal SCISSOR structure.