Hidden Symmetries in Wave Systems

8 May 2023

Opposite to the well-known manifest geometrical symmetries of a device latent symmetries are hidden symmetries. They become accessible only by performing a reduction of a given 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 point-wise 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.

Publication:
M. Röntgen, C.V. Morfonios, P. Schmelcher and V. Pagneux Hidden Symmetries in Acoustic Wave Systems

Physical Review Letters 130, 077201 (2023)