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On the interrelations between an optical differentiator and an optical Hilbert transformer.

Nam Quoc Ngo1, Yufeng Song

  • 1Photonics Research Centre, School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore. eqnngo@ntu.edu.sg

Optics Letters
|March 16, 2011
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Summary

A novel optical Hilbert transformer (OHT) acts as both a temporal optical differentiator and a phase shifter. This integrated-optic device offers versatile functionalities for advanced optical signal processing.

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Area of Science:

  • Photonics and optical engineering
  • Signal processing

Background:

  • Optical Hilbert transformers (OHTs) are crucial for applications like single-sideband modulation.
  • Temporal optical differentiators (ODs) are essential for complex signal analysis and generation.

Purpose of the Study:

  • To demonstrate a practically realizable first-order optical Hilbert transformer (OHT).
  • To show that the OHT can simultaneously perform temporal optical differentiation and phase shifting.

Main Methods:

  • Analytical and numerical simulations were employed.
  • A four-tap finite impulse response filter was designed using the Remez iteration algorithm.
  • An integrated-optic OHT was numerically verified.

Main Results:

  • The OHT functions as a first-order temporal optical differentiator (negative/positive) in the stopband.
  • The OHT provides broadband ±90° phase shifting in the passbands.
  • The designed integrated-optic OHT was numerically validated.

Conclusions:

  • A single first-order OHT design can achieve multiple functionalities.
  • This integrated-optic device offers a versatile platform for optical signal processing applications.
  • The proposed OHT is practically realizable and numerically verified.