Full-band reciprocal parametric amplification in coupled oscillator arrays
Phys. Rev. Applied 26, 044049 – Published 16 October, 2026
DOI: https://doi.org/10.1103/qwzj-h9ll
Abstract
Parametric resonance provides a versatile mechanism to manipulate wave signals in time-modulated metamaterials, but typically operates within narrow wavelength or frequency ranges. Here, we show that one-dimensional arrays of coupled resonators can generically exhibit parametric amplification across an entire band under standing-wave parametric modulation. We develop a general physical framework to describe the parametric resonance of isolated bands, derive modulation conditions needed to achieve full-band amplification for a given band, and demonstrate their validity in a model of active mechanical metamaterials based on tunable membrane resonator arrays. We numerically demonstrate applications of the proposed strategy in distortion-free amplification and temporal splitting of wave packets, with results in quantitative agreement with our theoretical calculations. Our strategies for broadband amplification can be generalized to other active wave media with nearly flat or cosinelike dispersion relations, with potential applications in loss mitigation, noise squeezing, and programmable wave manipulation.
