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Localization of topologically protected elastic waves: from diffuse to punctual modifications of the domain

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MWSW04 - Multiple scattering in engineering and applied sciences

The introduction of structural defects in otherwise periodic media is well known to grant exceptional space control and localization of waves in elastic media. In this context, a variety of designs have been proposed so far. However most of them derive from contextual modifications that do not translate into a design paradigm due to the lack of a general theory.Few exceptions include designs endowed with topological dispersion bands, which, however, require changes over substantial portions of the structure. Another possibility is to achieve localized modes by modifying a parameter in only one unit cell in analogy to the “fractional electronic charges”. In this talk I will present examples of both the aforementioned approaches to achieve localized modes in elastic media. I will discuss both their advantages and limitations.

This talk is part of the Isaac Newton Institute Seminar Series series.

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