Hidden Symmetries in Acoustic Wave Systems - Archive ouverte HAL
Article Dans Une Revue Physical Review Letters Année : 2023

Hidden Symmetries in Acoustic Wave Systems

Résumé

Latent symmetries are hidden symmetries which become manifest by performing a reduction of a given discrete system into an effective lower-dimensional one. We show how latent symmetries can be leveraged for continuous wave setups in the form of acoustic networks. These are systematically designed to possess latent-symmetry induced pointwise amplitude parity between selected waveguide junctions for all low frequency eigenmodes. We develop a modular principle to interconnect latently symmetric networks to feature multiple latently symmetric junction pairs. By connecting such networks to a mirror symmetric subsystem, we design asymmetric setups featuring eigenmodes with domain-wise parity. Bridging the gap between discrete and continuous models, our work takes a pivotal step towards exploiting hidden geometrical symmetries in realistic wave setups.
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Dates et versions

hal-04064810 , version 1 (11-04-2023)

Identifiants

Citer

M. Röntgen, C. V. Morfonios, P. Schmelcher, V. Pagneux. Hidden Symmetries in Acoustic Wave Systems. Physical Review Letters, 2023, 130 (7), pp.077201. ⟨10.1103/PhysRevLett.130.077201⟩. ⟨hal-04064810⟩
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