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physics.class-ph2021★ 27 cited
Closed-form existence conditions for band-gap resonances in a finite periodic chain under general boundary conditions
Mary V. Bastawrous, Mahmoud I. Hussein
Bragg scattering in periodic media generates band gaps, frequency bands where waves attenuate rather than propagate. Yet, a finite periodic structure may exhibit resonance frequenc…
physics.class-ph2021★ 12 cited
Theoretical band-gap bounds and coupling sensitivity for a periodic medium with branching resonators
Mary V. Bastawrous, Mahmoud I. Hussein
Elastic metamaterials may exhibit band gaps at wavelengths far exceeding feature sizes. This is attributed to local resonances of embedded or branching substructures. In branched c…