Band degeneration and evolution in nonlinear triatomic metamaterials

Chen Gong, Xin Fang, Li Cheng

Research output: Journal article publicationJournal articleAcademic researchpeer-review

6 Citations (Scopus)


Nonlinear metamaterials exhibit unique features allowing for wave manipulation. Despite the increasing attention received, the underlying physical mechanisms and the evolution process of the band structures and bandgaps in strongly nonlinear metamaterials remain unclear. Here we establish and examine four strongly nonlinear metamaterial models (triatomic models) to show the evolution process of typical nonlinear band structures using analytical and numerical approaches. We find that the strongly nonlinear triatomic models present particular band degeneration and bifurcation, accompanied with the wave mode transfer in their unit cells. The evolution processes and the physical mechanisms of the band degeneration in different models are clarified with the consideration of the mode transfer. The observed degeneration exhibits shifting, bifurcating, shortening, merging or disappearing of dispersion curves, all depending on the arrangement of the coupled nonlinear elements. Meanwhile, the dimension of the unit cell reduces, alongside changes in the frequency range and mechanisms (Bragg and local resonance) of the bandgaps. These findings provide answers to some essential questions pertinent to the study of nonlinear periodic structures, nonlinear crystals and nonlinear metamaterials, which are of interest to the broad community of nonlinear physics.

Original languageEnglish
JournalNonlinear Dynamics
Publication statusAccepted/In press - 2022


  • Band degeneration
  • Coupled nonlinear elements
  • Strongly nonlinear metamaterials
  • Wave mode transfer

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering


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