KEYWORDS: Analog electronics, Silicon photonics, Nanophotonics, Calibration, Phase shifts, Matrices, Machine learning, Signal to noise ratio, Databases, Data modeling
We show our recent progress on a Clements-type16x16 on-chip matrix processor based on silicon photonics and a new type of electro-optic digital-to-analog converters (EO DACs) with a higher signal-to-noise ratio. For the former, we developed a machine-learning-based calibration technique that involves theoretical modeling with circuit parameters (loss, phase error, splitting ratio, and crosstalks), which is adequate to obtain better fidelity for large-scale imperfect interferometers. After the calibration, we demonstrated a 16x16 identity matrix and several permutation matrices with a high signal-to-noise ratio and a well-known MNIST database classification task. For the latter, we developed low-loss and wavelength insensitive EO DACs consisting of 1:1 Y splitters and phase modulators that are useful for DAC-less input units for photonic accelerators.
We report and elaborate the design of a hexapole mode of an H1 point-defect photonic crystal nanocavity with a theoretical quality (Q) factor over 108. Thanks to the C6 symmetry of the mode, our design uses only four structural modulation parameters, unlike that for many other ultrahigh-Q nanocavities based on complicated optimizations. Silicon (Si) planar H1 nanocavity samples prepared with the design exhibit a systematic variation in their resonant wavelengths by the spatial shift of air holes in 1 nm unit. Their maximum loaded Q factor is measured as 1.2 million, and the corresponding cavity’s intrinsic Q factor is estimated as 1.5 million.
In this talk, we theoretically and experimentally investigate intriguing optical properties of non-Hermitian coupled nanoresonators based on two dimensional photonic crystals. Firstly, we demonstrate that a one dimensional array of PT symmetric coupled nanoresonators exhibits exotic optical dispersion near the exceptional point (EP). Second, we demonstrate that a similar non-Hermitian coupled resonators having equal coupling strength exhibits a topological insulating phase when we appropriately pump specific resonators. This system is unique because we can create the topological insulating phase from a homogeneous resonator chain only by manipulating gain and loss with a certain order, leading to reconfigurable optical non-trivial topology. Thirdly, we show our recent experimental demonstration of the PT phase transition in non-Hermitian coupled resonators based on electrically pumped photonic crystal nanolasers. The result shows an interesting enhancement in the vicinity of EP.
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