Photonic Hilbert Transformer Employing On-Chip Photonic Crystal Nanocavity

摘要

We propose and experimentally demonstrate a photonic Hilbert transformer using an on-chip silicon photonic crystal nanocavity (PCN). We prove that a PCN can implement photonic Hilbert transformation after certain structure design. The PCN consists of a cavity of three-defect-long (L3) type with a lattice constant of $a = 420$ nm and a hole radius of $r/a = 0.3$ . We demonstrate Hilbert transformations of input Gaussian pulses with different pulsewidth, and all the average deviations are less than 5.8%. The PCN has a small size of 10 μ;m $ times$ 10 μ;m, which may be useful in high-density on-chip spectral shaper.