Numerical models of single- and double-negative metamaterials including viscous and thermal losses

Vicente Cutanda Henriquez, José Sánchez-Dehesa

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


Negative index acoustic metamaterials are artificial structures made of subwavelength units arranged in a lattice, whose effective acoustic parameters, bulk modulus and mass density, can be negative. In these materials, sound waves propagate inside the periodic structure, assumed rigid, showing extraordinary properties. We are interested in two particular cases: a double-negative metamaterial, where both parameters are negative at some frequencies, and a single-negative metamaterial with negative bulk modulus within a broader frequency band. In previous research involving the double-negative metamaterial, numerical models with viscous
and thermal losses were used to explain that the extraordinary behavior, predicted by analytical models and numerical simulations with no losses, disappeared when the metamaterial was measured in physical setups. The improvement of the models is allowing now a more detailed understanding on how viscous and thermal losses affect the setups at different frequencies. The modeling of a simpler single-negative metamaterial also broadens this overview. Both setups have been modeled with quadratic BEM meshes. Each sample, scaled at two different sizes, has been represented with a detailed frequency step. The influence of viscous and thermal losses as a function of the scale has been studied at two different scales, in both metamaerials. It is shown that the effect of losses on the scale is not the
same for the different regimes of the metamaterials. Special attention is also given to the double-negative frequency band, where a fine frequency step of the simulation reveals details about the Fabry-Perot resonances in the metamaterial slab. The numerical model with losses, which is computationally very demanding, will also be commented.
Original languageEnglish
Title of host publicationProceedings of the 24th International Congress on Sound and Vibration : London Calling, 2017
Number of pages7
Publication date2017
ISBN (Print)978-1-906913-27-4
Publication statusPublished - 2017
EventThe 24th International Congress on Sound and Vibration - Park Plaza Westminster Bridge Hotel, London, United Kingdom
Duration: 23 Jul 201727 Jul 2017


ConferenceThe 24th International Congress on Sound and Vibration
LocationPark Plaza Westminster Bridge Hotel
Country/TerritoryUnited Kingdom


  • Acoustic metamaterials
  • Boundary element method


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