Loss compensation in time-dependent elastic metamaterials
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/43662
comunitat-uji-handle3:10234/43643
comunitat-uji-handle4:
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https://doi.org/10.1103/PhysRevB.97.014105 |
Metadata
Title
Loss compensation in time-dependent elastic metamaterialsDate
2018Publisher
American Physical SocietyISSN
2469-9950; 2469-9969Bibliographic citation
TORRENT, Daniel; PARNELL, William J.; NORRIS, Andrew N. Loss compensation in time-dependent elastic metamaterials. Physical Review B, 2018, vol. 97, no 1, p. 014105.Type
info:eu-repo/semantics/articlePublisher version
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.97.014105Version
info:eu-repo/semantics/publishedVersionAbstract
Materials with properties that are modulated in time are known to display wave phenomena showing energy
increasing with time, with the rate mediated by the modulation. Until now there has been no accounting for ... [+]
Materials with properties that are modulated in time are known to display wave phenomena showing energy
increasing with time, with the rate mediated by the modulation. Until now there has been no accounting for material
dissipation, which clearly counteracts energy growth. This paper provides an exact expression for the amplitude
of elastic or acoustic waves propagating in lossy materials with properties that are periodically modulated in
time. It is found that these materials can support a special propagation regime in which waves travel at constant
amplitude, with temporal modulation compensating for the normal energy dissipation. We derive a general
condition under which amplification due to time-dependent properties offsets the material dissipation. This identity
relates band-gap properties associated with the temporal modulation and the average of the viscosity coefficient,
thereby providing a simple recipe for the design of loss-compensated mechanical metamaterials. [-]
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