Abstract
We introduce a new framework for programmable acoustic wave manipulation using active meta-atoms embedded with feedback circuits. These meta-atoms support both gain and non-reciprocal responses, offering unprecedented control over non-Hermitian acoustic dynamics. For instance, embedding them in a one-dimensional array enables unidirectional wave amplification.
In this work, we go further to demonstrate dynamic switching between system normal modes, enabled by temporal control of cross-site nonlinear gain–loss coupling for these meta-atoms in resonator arrays such as Helmholtz resonators. In this scheme, the gain or loss in each cavity is determined by the amplitude in neighboring sites, resulting in energy-conserving dynamics that converge toward designated eigenstates of an effective linear Hamiltonian—a process we refer to as selective mode amplification.
This approach provides a unique framework for shaping the temporal evolution of acoustic waves through an eigenmode perspective. Spatially distributed gain–loss profiles can be tailored to shape specific eigenmodes for wave guiding; Parity-time (PT) symmetry considerations dictate whether the wave dynamics exhibit oscillatory behavior or collapse into desired eigenmodes; and temporal perturbations can be designed to accelerate or control transitions between target modes.
Together, these elements define a spatiotemporal platform in which eigenmodes act as engineered fixed points guiding controlled wave evolution. This enables a range of applications, including selective acoustic filtering, time-varying metamaterials, and analog computation.
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