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Linear nonreciprocal dynamics of coupled modulated systemsa).

Jiuda Wu1, Behrooz Yousefzadeh1

  • 1Department of Mechanical Industrial and Aerospace Engineering, Concordia University, Montreal, Quebec, Canada.

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Spatiotemporally modulated waveguides exhibit nonreciprocal vibration transmission. In short, strongly modulated systems, phase differences are key to breaking reciprocity, unlike in long, weakly modulated systems.

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Area of Science:

  • Physics
  • Mechanical Engineering
  • Materials Science

Background:

  • Spatiotemporal modulations in waveguides can lead to nonreciprocal vibration transmission.
  • Unidirectional transmission is typically studied in long, weakly modulated systems.

Purpose of the Study:

  • Explore vibration characteristics of short, strongly modulated waveguide systems.
  • Expand potential applications of modulated waveguides as devices.

Main Methods:

  • Developed a methodology for investigating nonreciprocal vibration in coupled systems.
  • Analyzed both weakly and strongly modulated systems.
  • Focused on the role of phase in nonreciprocity.

Main Results:

  • Phase difference is identified as the primary contributor to nonreciprocity in short systems.
  • Clarified the roles of primary and sideband resonances and their overlaps in breaking reciprocity.
  • Investigated the influence of modulation amplitude and wavenumber on system resonances.

Conclusions:

  • Phase is a critical, often overlooked, factor in achieving nonreciprocity.
  • Strongly modulated systems offer unique dynamics distinct from weakly modulated ones.
  • This research encourages further study into the dynamics of strongly modulated systems.