Full-band reciprocal parametric amplification in coupled oscillator arrays
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 cosine-like dispersion relations, with potential applications in loss-mitigation, noise squeezing, and programmable wave manipulation.
Versions
Related
- Avalanches and Aging Driven by Parametric Amplification in Kerr Oscillator Networks
- Parametric amplification in a Kerr Oscillator based on Ne FIB Nanobridges
- Entanglement and parametric resonance in coupled oscillator systems
- Semiconductor optical amplification of a diode-pumped 1-GHz Ti:sapphire oscillator
- Coherent-feedback-enhanced nonreciprocal entanglement via directional optical parametric amplification
BibTeX
@misc{kauffman2026fullband,
title = {{Full-band reciprocal parametric amplification in coupled oscillator arrays}},
author = {Benjamin Kauffman and Jayson Paulose},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.16539},
eprint = {2607.16539},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.16539},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - Full-band reciprocal parametric amplification in coupled oscillator arrays
AU - Benjamin Kauffman
AU - Jayson Paulose
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2607.16539
UR - https://arxiv.org/abs/2607.16539
AB - 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 cosine-like dispersion relations, with potential applications in loss-mitigation, noise squeezing, and programmable wave manipulation.
ER -