Arbitrary-Order Photonic Hilbert Transformers Based on Phase-Modulated Fiber Bragg Gratings in Transmission

Yanxin Li, Xin Liu, Xuewen Shu*, Lin Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Photonic Hilbert transformers are fundamental components for optical computing and signal processing. Here, for the first time we propose all-optical arbitrary-order Hilbert transformers using phase-modulated fiber Bragg gratings (PM-FBGs) in transmission to our best knowledge. The PM-FBG is a kind of fiber grating, whose coupling strength remains almost uniform and period varies along the fiber length. For demonstration, we have designed and numerically simulated 0.5th-order, first-order, and 1.5th-order photonic Hilbert transformers, respectively. The profiles of those PM-FBGs are obtained employing quasi-Newton optimization algorithm. Simulation results show that the designed three Hilbert transformers are all in good agreement with the ideal results in bandwidths up to 500 GHz and can tolerate a large range of input pulse width.
Original languageEnglish
Article number27
Number of pages10
Issue number2
Publication statusPublished - 21 Jan 2021

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© 2021 by the authors.
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  • Fiber Bragg grating
  • Optical fiber devices
  • Optical pulse shaping
  • Optical signal processing
  • Photonic Hilbert transformer


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