Journal
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 473, Issue 2202, Pages -Publisher
ROYAL SOC
DOI: 10.1098/rspa.2017.0188
Keywords
non-reciprocity; pump wave; one-way transition; unidirectional bandgap
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Funding
- Air Force Office of Scientific Research [AF 9550-15-1-0016]
- NSF EFRI [1641078]
- Emerging Frontiers & Multidisciplinary Activities
- Directorate For Engineering [1641078] Funding Source: National Science Foundation
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Time-reversal symmetry for elastic wave propagation breaks down in a resonant mass-in-mass lattice whose inner-stiffness is weakly modulated in space and in time in a wave-like fashion. Specifically, one-way wave transmission, conversion and amplification as well as unidirectional wave blocking are demonstrated analytically through an asymptotic analysis based on coupled mode theory and numerically thanks to a series of simulations in harmonic and transient regimes. High-amplitude modulations are then explored in the homogenization limit where a non-standard effective mass operator is recovered and shown to take negative values over unusually large frequency bands. These modulated metamaterials, which exhibit either non-reciprocal behaviours or non-standard effective mass operators, offer promise for applications in the field of elastic wave control in general and in one-way conversion/amplification in particular.
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