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Localization of Waves in Merged Lattices.

G Alagappan1, C E Png1

  • 1Department of Electronics and Photonics, Institute of High Performance Computing, Agency for Science, Technology, and Research (A-STAR), 1 Fusionopolis Way, #16-16 Connexis, 138632 Singapore.

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Summary

This study introduces merged lattices, a novel 2D topology enabling dense wave localization states. This design allows precise control over localization and potential for integrated slow wave components.

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Area of Science:

  • Condensed Matter Physics
  • Wave Phenomena
  • Materials Science

Background:

  • Wave localization is crucial for controlling wave propagation and enabling novel functionalities.
  • Existing lattice structures often have limitations in controlling the density and type of localization states.

Purpose of the Study:

  • To introduce and characterize a new two-dimensional physical topology: the merged lattice.
  • To demonstrate the capability of merged lattices to support a dense number of wave localization states.
  • To explore the potential for designing integrated slow wave components using this new topology.

Main Methods:

  • Merging two lattices of scatters with the same space group but slightly different spatial resonances.
  • Analyzing the resulting two-dimensional scattering 'beats' with perfect periodicity on a longer spatial scale.
  • Investigating the effect of translational symmetry breakage on shorter spatial scales leading to wave scattering and localization.

Main Results:

  • Merged lattices exhibit perfect periodicity on a longer spatial scale and broken translational symmetry on a shorter scale.
  • This structure leads to strong wave scattering and the occurrence of diverse wave localization states, including confined and annular modes.
  • The longer scale periodicity allows for precise prediction and control over the density and quality factors of localization states.

Conclusions:

  • Merged lattices offer a powerful platform for engineering a wide variety of wave localization states.
  • The design enables full control over localization properties and facilitates the creation of integrated slow wave components.
  • This novel topology holds significant promise for technologically beneficial applications in wave control and manipulation.