In this Letter, we present the first experimental demonstration of the temporal refraction of
acoustic waves in a phononic lattice. A step change in grounding stiffness results in a …

Dispersion relations govern wave behaviors, and tailoring them is a grand challenge in
wave manipulation. We demonstrate the inverse design of phononic dispersion using …

Linear mechanical systems with time-modulated parameters can harbor oscillations with
amplitudes that grow or decay exponentially with time due to the phenomenon of parametric …

Real eigenvalues of pseudo-Hermitian matrices, such as real matrices and PT− symmetric
matrices, frequently split into complex conjugate pairs. This is accompanied by the breaking …

Metamaterials composed of asymmetric elements have been shown to break reciprocity;
permitting the propagation of waves in one direction. The configuration of these …

The propagation of acoustic and elastic waves in time-varying, spatially homogeneous
media can exhibit different phenomena when compared to traditional spatially varying …

Dispersion relations govern wave behaviors, and tailoring them is a grand challenge in
wave manipulation. We demonstrate inverse design of phononic dispersion using non-local …

This study establishes a non-Bloch band theory for time-modulated discrete mechanical
systems. We consider simple mass–spring chains whose stiffness is periodically modulated …

We study the dynamics of solitary waves traveling in a one-dimensional chain of bistable
elements in the presence of a local inhomogeneity (“defect”). Numerical simulations reveal …

In this paper, we show that a periodically driven Aubry-André-Harper model with imbalanced
on-site gain/loss supports universal one-way transport that is immune to impurities and …