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Smart patterning for topological pumping of elastic surface waves.

Shaoyun Wang1, Zhou Hu2, Qian Wu1

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Topological pumping guides elastic surface waves, making them immune to defects. This phenomenon is demonstrated using patterned surfaces and validated through experiments, paving the way for robust wave control.

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Area of Science:

  • Physics
  • Materials Science
  • Wave Phenomena

Background:

  • Topological pumping offers a robust method for wave propagation, shielding them from environmental disruptions.
  • Elastic surface waves are crucial for various applications, but their sensitivity to defects limits performance.

Purpose of the Study:

  • To demonstrate topological pumping of elastic surface waves using a patterned elastic surface.
  • To explore the creation of a synthetic dimension for wave navigation.
  • To investigate the robustness of these waves against disorder and defects.

Main Methods:

  • Fabrication of an elastic surface patterned with arrays of resonating pillars and coupling bridges.
  • Development of a tight-binding model and Wentzel-Kramers-Brillouin (WKB) analysis to describe pillar dynamics.
  • Numerical simulations and experimental validation of wave steering and topological pumping.

Main Results:

  • Successful demonstration of topological pumping of elastic surface waves across the patterned surface.
  • Validation of wave steering from one edge to another, as predicted by theoretical models.
  • Observation of topological surface waves exhibiting immunity to introduced disorders and defects.

Conclusions:

  • Topological pumping is a viable mechanism for robust elastic surface wave propagation.
  • The developed theoretical framework (tight-binding model and WKB analysis) accurately predicts topological pumping.
  • This approach provides a versatile platform for controlling surface waves and advancing topological matter research.