Microwave photonic fractional Hilbert transformer with an integrated optical soliton crystal micro-comb
Mengxi Tan, Xingyuan Xu, Bill Corcoran, Jiayang Wu, Andreas Boes,, Thach G. Nguyen, Sai T. Chu, Brent E. Little, Roberto Morandotti, Arnan, Mitchell, and David J. Moss

TL;DR
This paper presents an integrated microwave photonic fractional Hilbert transformer utilizing an optical soliton crystal micro-comb, enabling broad bandwidth, high reconfigurability, and compact size for advanced RF signal processing.
Contribution
It introduces a novel integrated Kerr micro-comb source for programmable fractional Hilbert transforms with broad bandwidth and high reconfigurability, demonstrating real-time RF signal processing capabilities.
Findings
Achieved phase ripple < 0.15 rad within the pass-band
Bandwidths ranging from 5 to 9 octaves depending on fractional order
Good agreement between experimental results and theoretical predictions
Abstract
We report a photonic microwave and RF fractional Hilbert transformer based on an integrated Kerr micro-comb source. The micro-comb source has a free spectral range (FSR) of 50GHz, generating a large number of comb lines that serve as a high-performance multi-wavelength source for the transformer. By programming and shaping the comb lines according to calculated tap weights, we achieve both arbitrary fractional orders and a broad operation bandwidth. We experimentally characterize the RF amplitude and phase response for different fractional orders and perform system demonstrations of real-time fractional Hilbert transforms. We achieve a phase ripple of < 0.15 rad within the 3-dB pass-band, with bandwidths ranging from 5 to 9 octaves, depending on the order. The experimental results show good agreement with theory, confirming the effectiveness of our approach as a new way to implement…
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