Abstract

The geometry of photonic crystal waveguides with ring-shaped holes is optimized to minimize dispersion in the slow light regime. We found geometries with a nearly constant group index in excess of 20 over a wavelength range of 8 nm. The origin of the low dispersion is related to the widening of the propagating mode close to the lower band gap edge.

Highlights

  • Photonic crystal waveguides (PhCW’s) have very different dispersion properties compared to conventional waveguides due to their periodic boundaries

  • Our approach is to use photonic crystal waveguides with ring-shaped holes (RPhCW’s) [9][12], for which we have measured a group index up to 20 [11]

  • We showed that photonic crystal waveguides with ring-shaped holes enable dispersion tailored slow light structures

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Summary

Introduction

Photonic crystal waveguides (PhCW’s) have very different dispersion properties compared to conventional waveguides due to their periodic boundaries. PhCW’s exhibit slow group velocity near the Brillouin zone edge [1]-[5]. The slow modes usually have a very high group velocity dispersion (GVD), which leads to optical signal degradation in telecommunications systems. Our approach is to use photonic crystal waveguides with ring-shaped holes (RPhCW’s) [9][12], for which we have measured a group index up to 20 [11]. Due to an extra free parameter in the lattice design, PhCs with ring-shaped holes allow fine-tuning of the waveguide dispersion properties. In this paper we optimize the ring dimensions so that W1 waveguides show minimal dispersion with a relatively high group index

Optimization of the ring geometry
Conclusion
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